date: 2024.5
input:
N[PDF[LandauDistribution[0, pi/2], x], 20]
N[CDF[LandauDistribution[0, pi/2], x], 20]
N[1 - CDF[LandauDistribution[0, pi/2], x], 20]
λ | cdf | 1-cdf | |
---|---|---|---|
-8 | ≈0 | ≈0 | ≈1 |
-7.875 | |||
-7.75 | 1.4241766197340637510e-370 | 1.6665645190483030779e-373 | ≈1 |
-7.625 | |||
-7.5 | 1.3963580741658513783e-288 | 2.0977644853283045445e-291 | ≈1 |
-7.375 | 1.1495296538065609287e-254 | 1.9566965626167099028e-257 | ≈1 |
-7.25 | 9.7244281937459376902e-225 | 1.8754486349001651625e-227 | ≈1 |
-7.125 | 2.48588072973397097749e-198 | 5.4319117838523324611e-201 | ≈1 |
-7 | 4.9749117858699009892e-175 | 1.2316337907401396416e-177 | ≈1 |
-6.875 | 1.8073599855724400077e-154 | 5.0693991789461174074e-157 | ≈1 |
-6.75 | 2.5020395868677504010e-136 | 7.9508273092269030541e-139 | ≈1 |
-6.625 | 2.5384205986722200654e-120 | 9.1385472059129443185e-123 | ≈1 |
-6.5 | 3.3646333457816195657e-106 | 1.3722551000771884481e-108 | ≈1 |
-6.375 | 9.69761916559478802387e-94 | 4.48055762507550549844e-96 | ≈1 |
-6.25 | 9.5312302682245152520e-83 | 4.9885041497712773531e-85 | ≈1 |
-6.125 | 4.75111169518874108454e-73 | 2.81678467078329125246e-75 | ≈1 |
-6 | 1.7051074447851705700e-64 | 1.1450581306161646013e-66 | ≈1 |
-5.875 | 6.00189638418028450129e-57 | 4.56519633668798497728e-59 | ≈1 |
-5.75 | 2.7220643235841339923e-50 | 2.3449818439039332385e-52 | ≈1 |
-5.625 | 2.02372320348281080321e-44 | 1.97439522572764714042e-46 | ≈1 |
-5.5 | 3.0502060150089809970e-39 | 3.3699400957557151075e-41 | ≈1 |
-5.375 | 1.12427269718386027746e-34 | 1.40649700280446582428e-36 | ≈1 |
-5.25 | 1.1957721085544374731e-30 | 1.6937499753853328863e-32 | ≈1 |
-5.125 | 4.24702134500752180006e-27 | 6.81041551848176219023e-29 | ≈1 |
-5 | 5.7299682705730103032e-24 | 1.0401083461973864142e-25 | ≈1 |
-4.875 | 3.29039019364942250063e-21 | 6.76010751690198634324e-23 | ≈1 |
-4.75 | 8.8912261312855366022e-19 | 2.0672040957441121352e-20 | 9.9999999999999999998e-1 |
-4.625 | 1.23527779279291319867e-16 | 3.2495989106321562869e-18 | 9.9999999999999999675e-1 |
-4.5 | 9.5412628518507043281e-15 | 2.8394470726841722797e-16 | 9.9999999999999971606e-1 |
-4.375 | 4.38981154155011954498e-13 | 1.47756469218354623995e-14 | 9.9999999999998522435e-1 |
-4.25 | 1.2785713783348865918e-11 | 4.8662884482527691674e-13 | 9.9999999999951337116e-1 |
-4.125 | 2.48757901177478890314e-10 | 1.07031135307305414268e-11 | 9.9999999998929688647e-1 |
-4 | 3.3899538635808424464e-9 | 1.6484018900019493678e-10 | 9.9999999983515981100e-1 |
-3.875 | 3.3740267881363930373e-8 | 1.8536001351650185681e-9 | 9.9999999814639986484e-1 |
-3.75 | 2.5449478726175362333e-7 | 1.5790361960475750996e-8 | 9.9999998420963803952e-1 |
-3.625 | 1.5029292380687386694e-6 | 1.0527591140688720672e-7 | 9.9999989472408859311e-1 |
-3.5 | 7.1518498698243676772e-6 | 5.6532832980752883469e-7 | 9.9999943467167019247e-1 |
-3.375 | 2.8128209664277938267e-5 | 2.5079146939443777972e-6 | 9.9999749208530605562e-1 |
-3.25 | 9.3505770508751683307e-5 | 9.3988454165070266140e-6 | 9.9999060115458349297e-1 |
-3.125 | 2.6797449752574387452e-4 | 3.0349511101076773167e-5 | 9.9996965048889892323e-1 |
-3 | 6.7372861390806443293e-4 | 8.5921266252089708850e-5 | 9.9991407873374791029e-1 |
-2.875 | 1.5090405322042904829e-3 | 2.1656435992354463179e-4 | 9.9978343564007645537e-1 |
-2.75 | 3.0524170678404778510e-3 | 4.9259520485740286333e-4 | 9.9950740479514259714e-1 |
-2.625 | 5.6431765594472025979e-3 | 1.0232839988484889959e-3 | 9.9897671600115151100e-1 |
-2.5 | 9.6369248034230374967e-3 | 1.9619094349325484410e-3 | 9.9803809056506745156e-1 |
-2.375 | 1.5344299098666103396e-2 | 3.5040682146399482734e-3 | 9.9649593178536005173e-1 |
-2.25 | 2.2968463042829752952e-2 | 5.8780700091531217050e-3 | 9.9412192999084687830e-1 |
-2.125 | 3.2557832575769952123e-2 | 9.3283162289793919167e-3 | 9.9067168377102060808e-1 |
-2 | 4.3985478379363886601e-2 | 1.4094357934148776054e-2 | 9.8590564206585122395e-1 |
-1.9375 | 5.0302772980055123376e-2 | 1.7038965925726451080e-2 | 9.8296103407427354892e-1 |
-1.875 | 5.6958412565992413813e-2 | 2.0389258154529440097e-2 | 9.7961074184547055990e-1 |
-1.8125 | 6.3895520782563937047e-2 | 2.4164634991302465656e-2 | 9.7583536500869753434e-1 |
-1.75 | 7.1052095303906114372e-2 | 2.8380772808181761103e-2 | 9.7161922719181823890e-1 |
-1.6875 | 7.8362760425095097039e-2 | 3.3049358254502993018e-2 | 9.6695064174549700698e-1 |
-1.625 | 8.5760503634986165690e-2 | 3.8177931966667932412e-2 | 9.6182206803333206759e-1 |
-1.5625 | 9.3178326199171816506e-2 | 4.3769838456241946502e-2 | 9.5623016154375805350e-1 |
-1.5 | 1.0055075172901865837e-1 | 4.9824274974910163226e-2 | 9.5017572502508983677e-1 |
-1.4375 | 1.0781515157057547673e-1 | 5.6336429116277958238e-2 | 9.4366357088372204176e-1 |
-1.375 | 1.1491286044707405962e-1 | 6.3297692801797284634e-2 | 9.3670230719820271537e-1 |
-1.3125 | 1.2179006924117282686e-1 | 7.0695939065913201440e-2 | 9.2930406093408679856e-1 |
-1.25 | 1.2839849350344398806e-1 | 7.8515847611795490634e-2 | 9.2148415238820450937e-1 |
-1.1875 | 1.3469582587988238271e-1 | 8.6739265332280421022e-2 | 9.1326073466771957898e-1 |
-1.125 | 1.4064598804419149227e-1 | 9.5345588745253049414e-2 | 9.0465441125474695059e-1 |
-1.0625 | 1.4621920295568606367e-1 | 1.0431215644127179980e-1 | 8.9568784355872820020e-1 |
-1 | 1.5139191152148557738e-1 | 1.1361464105402330181e-1 | 8.8638535894597669819e-1 |
-0.96875 | 1.5382236368157077944e-1 | 1.1838388882962271049e-1 | 8.8161611117037728951e-1 |
-0.9375 | 1.5614655928241809802e-1 | 1.2322743182544340030e-1 | 8.7677256817455659970e-1 |
-0.90625 | 1.5836319007204598756e-1 | 1.2814192820300004746e-1 | 8.7185807179699995254e-1 |
-0.875 | 1.6047127886631768423e-1 | 1.3312400044900388005e-1 | 8.6687599955099611995e-1 |
-0.84375 | 1.6247016565026204116e-1 | 1.3817024550612521683e-1 | 8.6182975449387478317e-1 |
-0.8125 | 1.6435949297019491788e-1 | 1.4327724445791977793e-1 | 8.5672275554208022207e-1 |
-0.78125 | 1.6613919077328180360e-1 | 1.4844157174823065209e-1 | 8.5155842825176934791e-1 |
-0.75 | 1.6780946084066212368e-1 | 1.5365980392010946302e-1 | 8.4634019607989053698e-1 |
-0.71875 | 1.6937076094943407915e-1 | 1.5892852786369801587e-1 | 8.4107147213630198413e-1 |
-0.6875 | 1.7082378888783957351e-1 | 1.6424434856656871691e-1 | 8.3575565143343128309e-1 |
-0.65625 | 1.7216946643703522202e-1 | 1.6960389636373633624e-1 | 8.3039610363626366376e-1 |
-0.625 | 1.7340892342201156848e-1 | 1.7500383368792738871e-1 | 8.2499616631207261129e-1 |
-0.59375 | 1.7454348192363391786e-1 | 1.8044086132373229100e-1 | 8.1955913867626770900e-1 |
-0.5625 | 1.7557464073351274380e-1 | 1.8591172417197828137e-1 | 8.1408827582802171863e-1 |
-0.53125 | 1.7650406012354147419e-1 | 1.9141321653305912999e-1 | 8.0858678346694087001e-1 |
-0.5 | 1.7733354699252185004e-1 | 1.9694218692005420768e-1 | 8.0305781307994579232e-1 |
-0.46875 | 1.7806504044337583927e-1 | 2.0249554241427937851e-1 | 7.9750445758572062149e-1 |
-0.4375 | 1.7870059783605005731e-1 | 2.0807025257745147567e-1 | 7.9192974742254852433e-1 |
-0.40625 | 1.7924238135337487268e-1 | 2.1366335293593367292e-1 | 7.8633664706406632708e-1 |
-0.375 | 1.7969264510985750190e-1 | 2.1927194805357824279e-1 | 7.8072805194642175721e-1 |
-0.34375 | 1.8005372282666987351e-1 | 2.2489321421051360124e-1 | 7.7510678578948639876e-1 |
-0.3125 | 1.8032801608993428431e-1 | 2.3052440170585177231e-1 | 7.6947559829414822769e-1 |
-0.28125 | 1.8051798320380335438e-1 | 2.3616283680273785497e-1 | 7.6383716319726214503e-1 |
-0.25 | 1.8062612864476103931e-1 | 2.4180592333444175029e-1 | 7.5819407666555824971e-1 |
-0.21875 | 1.8065499311901997903e-1 | 2.4745114399032080319e-1 | 7.5254885600967919681e-1 |
-0.1875 | 1.8060714422083555430e-1 | 2.5309606130047599537e-1 | 7.4690393869952400463e-1 |
-0.15625 | 1.8048516768597453246e-1 | 2.5873831833779903842e-1 | 7.4126168166220096158e-1 |
-0.125 | 1.8029165923144016862e-1 | 2.6437563915587752255e-1 | 7.3562436084412247745e-1 |
-0.09375 | 1.8002921696983893216e-1 | 2.7000582898090370487e-1 | 7.2999417101909629513e-1 |
-0.0625 | 1.7970043438444879172e-1 | 2.7562677417533224326e-1 | 7.2437322582466775674e-1 |
-0.03125 | 1.7930789384908708831e-1 | 2.8123644199056499057e-1 | 7.1876355800943500943e-1 |
0 | 1.7885416067524943505e-1 | 2.8683288012541777457e-1 | 7.1316711987458222543e-1 |
0.03125 | 1.7834177766767219445e-1 | 2.9241421610655494827e-1 | 7.0758578389344505173e-1 |
0.0625 | 1.7777326016843296921e-1 | 2.9797865650647159510e-1 | 7.0202134349352840490e-1 |
0.09375 | 1.7715109156892014497e-1 | 3.0352448601396897847e-1 | 6.9647551398603102153e-1 |
0.125 | 1.7647771926844883683e-1 | 3.0905006637141370265e-1 | 6.9094993362858629735e-1 |
0.15625 | 1.7575555105795277656e-1 | 3.1455383519240190312e-1 | 6.8544616480759809688e-1 |
0.1875 | 1.7498695190701715779e-1 | 3.2003430467277268813e-1 | 6.7996569532722731187e-1 |
0.21875 | 1.7417424113251497581e-1 | 3.2549006020723540064e-1 | 6.7450993979276459936e-1 |
0.25 | 1.7331968992724905972e-1 | 3.3091975892319781116e-1 | 6.6908024107680218884e-1 |
0.28125 | 1.7242551922726526946e-1 | 3.3632212814271123511e-1 | 6.6367787185728876489e-1 |
0.3125 | 1.7149389789687205794e-1 | 3.4169596378278738576e-1 | 6.5830403621721261424e-1 |
0.34375 | 1.7052694121086196276e-1 | 3.4704012870369359995e-1 | 6.5295987129630640005e-1 |
0.375 | 1.6952670961396708936e-1 | 3.5235355101420051309e-1 | 6.4764644898579948691e-1 |
0.40625 | 1.6849520773818004435e-1 | 3.5763522234214147941e-1 | 6.4236477765785852059e-1 |
0.4375 | 1.6743438365922205994e-1 | 3.6288419607804780947e-1 | 6.3711580392195219053e-1 |
0.46875 | 1.6634612837413036382e-1 | 3.6809958559904964664e-1 | 6.3190041440095035336e-1 |
0.5 | 1.6523227548265744407e-1 | 3.7328056247968012295e-1 | 6.2671943752031987705e-1 |
0.53125 | 1.6409460105591702060e-1 | 3.7842635469569113072e-1 | 6.2157364530430886928e-1 |
0.5625 | 1.6293482367646752284e-1 | 3.8353624482648317012e-1 | 6.1646375517351682988e-1 |
0.59375 | 1.6175460463478685295e-1 | 3.8860956826126960637e-1 | 6.1139043173873039363e-1 |
0.625 | 1.6055554826785619167e-1 | 3.9364571141363741810e-1 | 6.0635428858636258190e-1 |
0.65625 | 1.5933920242633036384e-1 | 3.9864410994873208630e-1 | 6.0135589005126791370e-1 |
0.6875 | 1.5810705905752332106e-1 | 4.0360424702688345906e-1 | 5.9639575297311654094e-1 |
0.71875 | 1.5686055489217577226e-1 | 4.0852565156710189527e-1 | 5.9147434843289810473e-1 |
0.75 | 1.5560107222369464793e-1 | 4.1340789653350929690e-1 | 5.8659210346649070310e-1 |
0.78125 | 1.5432993976925820962e-1 | 4.1825059724742724538e-1 | 5.8174940275257275462e-1 |
0.8125 | 1.5304843360286399129e-1 | 4.2305340972752374839e-1 | 5.7694659027247625161e-1 |
0.84375 | 1.5175777815105760084e-1 | 4.2781602906012040203e-1 | 5.7218397093987959797e-1 |
0.875 | 1.5045914724271732904e-1 | 4.3253818780148235207e-1 | 5.6746181219851764792e-1 |
0.90625 | 1.4915366520488147050e-1 | 4.3721965441365353339e-1 | 5.6278034558634646661e-1 |
0.9375 | 1.4784240799719152784e-1 | 4.4186023173515848508e-1 | 5.5813976826484151492e-1 |
0.96875 | 1.4652640437808459109e-1 | 4.4645975548766877105e-1 | 5.5354024451233122895e-1 |
1 | 1.4520663709640194253e-1 | 4.5101809281952585982e-1 | 5.4898190718047414017e-1 |
1.0625 | 1.4255951977413750429e-1 | 4.6001082547256943842e-1 | 5.3998917452743056158e-1 |
1.125 | 1.3990804417225925227e-1 | 4.6883794245045029567e-1 | 5.3116205754954970433e-1 |
1.1875 | 1.3725854086460368968e-1 | 4.7749937251267964154e-1 | 5.2250062748732035846e-1 |
1.25 | 1.3461672245318876186e-1 | 4.8599542056238026306e-1 | 5.1400457943761973693e-1 |
1.3125 | 1.3198772278720123635e-1 | 4.9432673025162946506e-1 | 5.0567326974837053494e-1 |
1.375 | 1.2937613544113511623e-1 | 5.0249424901652591508e-1 | 4.9750575098347408492e-1 |
1.4375 | 1.2678605116338530489e-1 | 5.1049919548629238048e-1 | 4.8950080451370761952e-1 |
1.5 | 1.2422109407147186097e-1 | 5.1834302919476012105e-1 | 4.8165697080523987895e-1 |
1.5625 | 1.2168445642579134498e-1 | 5.2602742251037822458e-1 | 4.7397257748962177542e-1 |
1.625 | 1.1917893186126847083e-1 | 5.3355423469190897267e-1 | 4.6644576530809102733e-1 |
1.6875 | 1.1670694699639011720e-1 | 5.4092548797072070918e-1 | 4.5907451202927929081e-1 |
1.75 | 1.1427059137267776398e-1 | 5.4814334555663845043e-1 | 4.5185665444336154957e-1 |
1.8125 | 1.1187164570547350417e-1 | 5.5521009146227586438e-1 | 4.4478990853772413562e-1 |
1.875 | 1.0951160844970006377e-1 | 5.6212811204031342377e-1 | 4.3787188795968657622e-1 |
1.9375 | 1.0719172070266646322e-1 | 5.6889987912901283082e-1 | 4.3110012087098716917e-1 |
2 | 1.0491298948062606683e-1 | 5.7552793470311284603e-1 | 4.2447206529688715397e-1 |
2.125 | 1.0048198294034004606e-1 | 5.8836334753367754673e-1 | 4.1163665246632245327e-1 |
2.25 | 9.6222750351119111288e-2 | 6.0065559115706427981e-1 | 3.9934440884293572019e-1 |
2.375 | 9.2136944121096479500e-2 | 6.1242626400693629948e-1 | 3.8757373599306370051e-1 |
2.5 | 8.8224200916354986620e-2 | 6.2369704035487186366e-1 | 3.7630295964512813634e-1 |
2.625 | 8.4482559636718838158e-2 | 6.3448944520421525468e-1 | 3.6551055479578474532e-1 |
2.75 | 8.0908812954807221240e-2 | 6.4482467718710305321e-1 | 3.5517532281289694678e-1 |
2.875 | 7.7498800933784133230e-2 | 6.5472347169815319032e-1 | 3.4527652830184680967e-1 |
3 | 7.4247654599601391859e-2 | 6.6420599752421811067e-1 | 3.3579400247578188932e-1 |
3.125 | 7.1149996605791831074e-2 | 6.7329178116859354034e-1 | 3.2670821883140645965e-1 |
3.25 | 6.8200105359711193808e-2 | 6.8199965391232063128e-1 | 3.1800034608767936872e-1 |
3.375 | 6.5392048222494208454e-2 | 6.9034771740374218477e-1 | 3.0965228259625781523e-1 |
3.5 | 6.2719788678318846857e-2 | 6.9835332422369826739e-1 | 3.0164667577630173261e-1 |
3.625 | 6.0177271707562545360e-2 | 7.0603307044375080265e-1 | 2.9396692955624919735e-1 |
3.75 | 5.7758491000638129416e-2 | 7.1340279768610982924e-1 | 2.8659720231389017075e-1 |
3.875 | 5.5457541116776898108e-2 | 7.2047760261457262074e-1 | 2.7952239738542737926e-1 |
4 | 5.3268657223284094017e-2 | 7.2727185214387559838e-1 | 2.7272814785612440162e-1 |
4.25 | 4.9204900077490977132e-2 | 7.4007262418495588840e-1 | 2.5992737581504411160e-1 |
4.5 | 4.5524840154086471489e-2 | 7.5190626740465383175e-1 | 2.4809373259534616825e-1 |
4.75 | 4.2189501453723160889e-2 | 7.6286376121860206382e-1 | 2.3713623878139793618e-1 |
5 | 3.9163419581290406946e-2 | 7.7302677994283581747e-1 | 2.2697322005716418253e-1 |
5.25 | 3.6414570738492001762e-2 | 7.8246856467781426818e-1 | 2.1753143532218573182e-1 |
5.5 | 3.3914194854693572361e-2 | 7.9125476296790098716e-1 | 2.0874523703209901284e-1 |
5.75 | 3.1636561767367110980e-2 | 7.9944421630620917405e-1 | 2.0055578369379082594e-1 |
6 | 2.9558712418470675203e-2 | 8.0708968553358234182e-1 | 1.9291031446641765818e-1 |
6.25 | 2.7660195407525405844e-2 | 8.1423851062645001755e-1 | 1.8576148937354998245e-1 |
6.5 | 2.5922811356501805645e-2 | 8.2093320540314352240e-1 | 1.7906679459685647759e-1 |
6.75 | 2.4330372261263871485e-2 | 8.2721199008716909778e-1 | 1.7278800991283090222e-1 |
7 | 2.2868479523695088460e-2 | 8.3310926599371992323e-1 | 1.6689073400628007676e-1 |
7.25 | 2.1524322111055090777e-2 | 8.3865603722727131178e-1 | 1.6134396277272868822e-1 |
7.5 | 2.0286494878918835976e-2 | 8.4388028444926438207e-1 | 1.5611971555073561793e-1 |
7.75 | 1.9144836246775616554e-2 | 8.4880729566857517220e-1 | 1.5119270433142482780e-1 |
8 | 1.8090283941810259988e-2 | 8.5345995873929337351e-1 | 1.4654004126070662649e-1 |
8.5 | 1.6210994515662290875e-2 | 8.6202331227050444781e-1 | 1.3797668772949555219e-1 |
9 | 1.4593623630742662391e-2 | 8.6971454657868979660e-1 | 1.3028545342131020340e-1 |
9.5 | 1.3194006733673910066e-2 | 8.7665318131159261240e-1 | 1.2334681868840738760e-1 |
10 | 1.1976487388788528718e-2 | 8.8293886591356384723e-1 | 1.1706113408643615276e-1 |
10.5 | 1.0912115437252013003e-2 | 8.8865516396347839735e-1 | 1.1134483603652160264e-1 |
11 | 9.9772518857718462731e-3 | 8.9387254275217786436e-1 | 1.0612745724782213564e-1 |
11.5 | 9.1524856254992540593e-3 | 8.9865074672038842844e-1 | 1.0134925327961157156e-1 |
12 | 8.4217890581505761247e-3 | 9.0304069162748761805e-1 | 9.6959308372512381944e-2 |
12.5 | 7.7718570100181105271e-3 | 9.0708598436775630050e-1 | 9.2914015632243699503e-2 |
13 | 7.1915866461572528046e-3 | 9.1082414902282322609e-1 | 8.9175850977176773907e-2 |
13.5 | 6.6716662460917206733e-3 | 9.1428762124929801688e-1 | 8.5712378750701983123e-2 |
14 | 6.2042483810755441377e-3 | 9.1750455904064115405e-1 | 8.2495440959358845950e-2 |
14.5 | 5.7826888280035436409e-3 | 9.2049950718907004347e-1 | 7.9500492810929956528e-2 |
15 | 5.4013369280103984573e-3 | 9.2329394458522379855e-1 | 7.6706055414776201447e-2 |
15.5 | 5.0553664025156413910e-3 | 9.2590673721186652774e-1 | 7.4093262788133472256e-2 |
16 | 4.7406381433296971811e-3 | 9.2835451484900244126e-1 | 7.1645485150997558734e-2 |
17 | 4.1911372143970710794e-3 | 9.3281220074559883439e-1 | 6.7187799254401165610e-2 |
18 | 3.7296910806918955009e-3 | 9.3676607926657048988e-1 | 6.3233920733429510114e-2 |
19 | 3.3387828254654301003e-3 | 9.4029505075601315408e-1 | 5.9704949243986845920e-2 |
20 | 3.0049793956922566167e-3 | 9.4346264685125708509e-1 | 5.6537353148742914908e-2 |
21 | 2.7178548458224304693e-3 | 9.4632054452028548747e-1 | 5.3679455479714512530e-2 |
22 | 2.4692270065767004073e-3 | 9.4891117014060104287e-1 | 5.1088829859398957128e-2 |
23 | 2.2526085854118386138e-3 | 9.5126965408765407345e-1 | 4.8730345912345926547e-2 |
24 | 2.0628071934785309651e-3 | 9.5342531530916948121e-1 | 4.6574684690830518785e-2 |
25 | 1.8956302704659889306e-3 | 9.5540280137214727067e-1 | 4.4597198627852729332e-2 |
26 | 1.7476648749684945817e-3 | 9.5722297292736548092e-1 | 4.2777027072634519077e-2 |
27 | 1.6161115692700714472e-3 | 9.5890359644643370439e-1 | 4.1096403553566295607e-2 |
28 | 1.4986578444598306452e-3 | 9.6045989162608323039e-1 | 3.9540108373916769605e-2 |
29 | 1.3933807623620016374e-3 | 9.6190496754858065928e-1 | 3.8095032451419340717e-2 |
30 | 1.2986714067753381942e-3 | 9.6325017291031331633e-1 | 3.6749827089686683664e-2 |
31 | 1.2131757709265939191e-3 | 9.6450537930018013210e-1 | 3.5494620699819867895e-2 |
32 | 1.1357481437060201038e-3 | 9.6567921189509996841e-1 | 3.4320788104900031593e-2 |
34 | 1.0013407895754710693e-3 | 9.6781212567837896509e-1 | 3.2187874321621034914e-2 |
36 | 8.8921503902102238443e-4 | 9.6969939440858871860e-1 | 3.0300605591411281399e-2 |
38 | 7.9474118788007065506e-4 | 9.7138072891395557489e-1 | 2.8619271086044425109e-2 |
40 | 7.1442539141655892490e-4 | 9.7288777992106059800e-1 | 2.7112220078939401998e-2 |
42 | 6.4559255084920939974e-4 | 9.7424607261999754330e-1 | 2.5753927380002456700e-2 |
44 | 5.8616746320175931159e-4 | 9.7547641215949722103e-1 | 2.4523587840502778971e-2 |
46 | 5.3452103727298031447e-4 | 9.7659592085286974801e-1 | 2.3404079147130251989e-2 |
48 | 4.8936044428570032386e-4 | 9.7761881454937682495e-1 | 2.2381185450623175043e-2 |
50 | 4.4964946787223781673e-4 | 9.7855699134518716429e-1 | 2.1443008654812835713e-2 |
52 | 4.1454995329208819514e-4 | 9.7942048332394984025e-1 | 2.0579516676050159752e-2 |
54 | 3.8337822025216865217e-4 | 9.8021780699650952301e-1 | 1.9782193003490476992e-2 |
56 | 3.5557223527422617421e-4 | 9.8095623790415377963e-1 | 1.9043762095846220370e-2 |
58 | 3.3066661990114471793e-4 | 9.8164202780772719117e-1 | 1.8357972192272808833e-2 |
60 | 3.0827343328144741553e-4 | 9.8228057795532755766e-1 | 1.7719422044672442337e-2 |
62 | 2.8806725694940143981e-4 | 9.8287657842424205622e-1 | 1.7123421575757943775e-2 |
64 | 2.6977351788249885297e-4 | 9.8343412102113905964e-1 | 1.6565878978860940353e-2 |
68 | 2.3802587684993272470e-4 | 9.8444774471522166067e-1 | 1.5552255284778339327e-2 |
72 | 2.1154447559997198167e-4 | 9.8534533282343013858e-1 | 1.4654667176569861422e-2 |
76 | 1.8922961461456178724e-4 | 9.8614564400800405854e-1 | 1.3854355991995941463e-2 |
80 | 1.7025363480496233698e-4 | 9.8686361302694164586e-1 | 1.3136386973058354137e-2 |
84 | 1.5398414340280340204e-4 | 9.8751127548179937097e-1 | 1.2488724518200629031e-2 |
88 | 1.3993133677139264978e-4 | 9.8809843710868482686e-1 | 1.1901562891315173141e-2 |
92 | 1.2771116060295070742e-4 | 9.8863316618582275623e-1 | 1.1366833814177243768e-2 |
96 | 1.1701909784245216771e-4 | 9.8912216121122797919e-1 | 1.0877838788772020803e-2 |
100 | 1.0761122400783727958e-4 | 9.8957102916328982690e-1 | 1.0428970836710173100e-2 |
104 | 9.9290317976179568627e-5 | 9.8998449868982484643e-1 | 1.0015501310175153571e-2 |
108 | 9.1895545047858268549e-5 | 9.9036658528845929624e-1 | 9.6334147115407037537e-3 |
112 | 8.5294700769117782111e-5 | 9.9072072061845792703e-1 | 9.2792793815420729664e-3 |
116 | 7.9378314852814613925e-5 | 9.9104985470191804366e-1 | 8.9501452980819563343e-3 |
120 | 7.4055122854580563640e-5 | 9.9135653741339745065e-1 | 8.6434625866025493514e-3 |
124 | 6.9248555025055356899e-5 | 9.9164298398898866782e-1 | 8.3570160110113321763e-3 |
128 | 6.4893989614233698971e-5 | 9.9191112809108069572e-1 | 8.0888719089193042815e-3 |
136 | 5.7329564276961237696e-5 | 9.9239908766129174989e-1 | 7.6009123387082501119e-3 |
144 | 5.1011830456252275788e-5 | 9.9283171770302689205e-1 | 7.1682822969731079510e-3 |
152 | 4.5681564852246390945e-5 | 9.9321790460210667385e-1 | 6.7820953978933261445e-3 |
160 | 4.1143501089987249555e-5 | 9.9356473125406111069e-1 | 6.4352687459388893068e-3 |
168 | 3.7248304594998386519e-5 | 9.9387791198716339602e-1 | 6.1220880128366039817e-3 |
176 | 3.3880203059598337866e-5 | 9.9416210752573471759e-1 | 5.8378924742652824112e-3 |
184 | 3.0948333017434253915e-5 | 9.9442115687114390556e-1 | 5.5788431288560944402e-3 |
192 | 2.8380580051794040211e-5 | 9.9465825057453575733e-1 | 5.3417494254642426660e-3 |
200 | 2.6119124435407442865e-5 | 9.9487606197342774362e-1 | 5.1239380265722563731e-3 |
208 | 2.4117173461402594427e-5 | 9.9507684781984848845e-1 | 4.9231521801515115526e-3 |
216 | 2.2336532629854615430e-5 | 9.9526252631187345372e-1 | 4.7374736881265462817e-3 |
224 | 2.0745778437110868418e-5 | 9.9543473823133600140e-1 | 4.5652617686639985958e-3 |
232 | 1.9318868387122408551e-5 | 9.9559489530372724822e-1 | 4.4051046962727517722e-3 |
240 | 1.8034072678820594431e-5 | 9.9574421878932053529e-1 | 4.2557812106794647023e-3 |
248 | 1.6873145260730751285e-5 | 9.9588377053147431163e-1 | 4.1162294685256883659e-3 |
256 | 1.5820674891723428725e-5 | 9.9601447812693466215e-1 | 3.9855218730653378497e-3 |
272 | 1.3990665724864535394e-5 | 9.9625251967232171275e-1 | 3.7474803276782872449e-3 |
288 | 1.2460421241600368611e-5 | 9.9646377440220669668e-1 | 3.5362255977933033154e-3 |
304 | 1.1167920905876886160e-5 | 9.9665251845418798344e-1 | 3.3474815458120165610e-3 |
320 | 1.0066383575245529757e-5 | 9.9682216441973902675e-1 | 3.1778355802609732454e-3 |
336 | 9.1199871765231137521e-6 | 9.9697546873961501914e-1 | 3.0245312603849808520e-3 |
352 | 8.3009275581816554221e-6 | 9.9711468209192784473e-1 | 2.8853179080721552650e-3 |
368 | 7.5873583686858250187e-6 | 9.9724166024732731371e-1 | 2.7583397526726862894e-3 |
384 | 6.9619228455363726475e-6 | 9.9735794700261019757e-1 | 2.6420529973898024261e-3 |
400 | 6.4106908911986318658e-6 | 9.9746483706448565634e-1 | 2.5351629355143436602e-3 |
416 | 5.9223784756691165534e-6 | 9.9756342431782651987e-1 | 2.4365756821734801252e-3 |
432 | 5.4877668265797818121e-6 | 9.9765463929256607585e-1 | 2.3453607074339241445e-3 |
448 | 5.0992650491587040738e-6 | 9.9773927854700012919e-1 | 2.2607214529998708068e-3 |
464 | 4.7505770889515240163e-6 | 9.9781802793104380494e-1 | 2.1819720689561950604e-3 |
480 | 4.4364455354178465891e-6 | 9.9789148116630546192e-1 | 2.1085188336945380736e-3 |
496 | 4.1524526570063048190e-6 | 9.9796015480689941992e-1 | 2.0398451931005800716e-3 |
512 | 3.8948645125312754557e-6 | 9.9802450037743288081e-1 | 1.9754996225671191844e-3 |
544 | 3.4466718376662543177e-6 | 9.9814174600315303798e-1 | 1.8582539968469620167e-3 |
576 | 3.0715759141186876526e-6 | 9.9824586524859441854e-1 | 1.7541347514055814567e-3 |
608 | 2.7545098066172454772e-6 | 9.9833894455481767172e-1 | 1.6610554451823282814e-3 |
640 | 2.4840966534028348561e-6 | 9.9842265057638091599e-1 | 1.5773494236190840013e-3 |
672 | 2.2516162206563480033e-6 | 9.9849833067326352028e-1 | 1.5016693267364797146e-3 |
704 | 2.0502939563272853691e-6 | 9.9856708585964895739e-1 | 1.4329141403510426083e-3 |
736 | 1.8748024669982511409e-6 | 9.9862982463069242973e-1 | 1.3701753693075702612e-3 |
768 | 1.7209058694811278746e-6 | 9.9868730326941974370e-1 | 1.3126967305802563004e-3 |
800 | 1.5852020724810180386e-6 | 9.9874015643578021127e-1 | 1.2598435642197887239e-3 |
832 | 1.4649333441036430697e-6 | 9.9878892066528650815e-1 | 1.2110793347134918455e-3 |
864 | 1.3578452460448683145e-6 | 9.9883405262309756723e-1 | 1.1659473769024327698e-3 |
896 | 1.2620803208127250201e-6 | 9.9887594342997562557e-1 | 1.1240565700243744261e-3 |
928 | 1.1760970817727844564e-6 | 9.9891493001202355246e-1 | 1.0850699879764475372e-3 |
960 | 1.0986076512094558999e-6 | 9.9895130417132921945e-1 | 1.0486958286707805511e-3 |
992 | 1.0285292976186991232e-6 | 9.9898531989408962263e-1 | 1.0146801059103773688e-3 |
1024 | 9.6494644170719151475e-7 | 9.9901719928318719160e-1 | 9.8280071681280839681e-4 |
1088 | 8.5426658606210844698e-7 | 9.9907530629552273380e-1 | 9.2469370447726619747e-4 |
1152 | 7.6158734861000665859e-7 | 9.9912692852536063616e-1 | 8.7307147463936383617e-4 |
1216 | 6.8320752236212896693e-7 | 9.9917309389706461772e-1 | 8.2690610293538227296e-4 |
1280 | 6.1633037328594615050e-7 | 9.9921462402172108737e-1 | 7.8537597827891263104e-4 |
1344 | 5.5881083724825293699e-7 | 9.9925218347855968753e-1 | 7.4781652144031246609e-4 |
1408 | 5.0898146404872809394e-7 | 9.9928631561580008288e-1 | 7.1368438419991711256e-4 |
1472 | 4.6553027514246121492e-7 | 9.9931746898509952223e-1 | 6.8253101490047776243e-4 |
1536 | 4.2741356602558466496e-7 | 9.9934601714882952318e-1 | 6.5398285117047681213e-4 |
1600 | 3.9379267821136145421e-7 | 9.9937227372064761151e-1 | 6.2772627935238848877e-4 |
1664 | 3.6398749640552780187e-7 | 9.9939650392597482047e-1 | 6.0349607402517953069e-4 |
1728 | 3.3744179961366282731e-7 | 9.9941893358686094736e-1 | 5.8106641313905263318e-4 |
1792 | 3.1369713472796820512e-7 | 9.9943975617669441671e-1 | 5.6024382330558328590e-4 |
1856 | 2.9237289855874528524e-7 | 9.9945913841175216800e-1 | 5.4086158824783199643e-4 |
1920 | 2.7315099782714530133e-7 | 9.9947722472177684918e-1 | 5.2277527822315081382e-4 |
1984 | 2.5576392299185937292e-7 | 9.9949414085327104607e-1 | 5.0585914672895392509e-4 |
2048 | 2.3998539451106350460e-7 | 9.9950999679564168272e-1 | 4.9000320435831727723e-4 |
2176 | 2.1251213291207360467e-7 | 9.9953890321960065163e-1 | 4.6109678039934837258e-4 |
2304 | 1.8949945621844036972e-7 | 9.9956458977836612678e-1 | 4.3541022163387322062e-4 |
2432 | 1.7003159063741760820e-7 | 9.9958756601275020213e-1 | 4.1243398724979786237e-4 |
2560 | 1.5341624448834616760e-7 | 9.9960823934713533244e-1 | 3.9176065286466755790e-4 |
2688 | 1.3912222282665024816e-7 | 9.9962693944862992113e-1 | 3.7306055137007886307e-4 |
2816 | 1.2673645232074981136e-7 | 9.9964393593123415399e-1 | 3.5606406876584601265e-4 |
2944 | 1.1593380936586086875e-7 | 9.9965945143374227636e-1 | 3.4054856625772363521e-4 |
3072 | 1.0645557082809035338e-7 | 9.9967367142283425696e-1 | 3.2632857716574303731e-4 |
3200 | 9.8093782078945474623e-8 | 9.9968675163970488847e-1 | 3.1324836029511152622e-4 |
3328 | 9.0679755708403138004e-8 | 9.9969882382560358781e-1 | 3.0117617439641218544e-4 |
3456 | 8.4075499017061721576e-8 | 9.9971000017313633119e-1 | 2.8999982686366880998e-4 |
3584 | 7.8167247962350748374e-8 | 9.9972037682233571196e-1 | 2.7962317766428803359e-4 |
3712 | 7.2860536144966426379e-8 | 9.9973003663238692209e-1 | 2.6996336761307790468e-4 |
3840 | 6.8076396065695005029e-8 | 9.9973905139824791549e-1 | 2.6094860175208450469e-4 |
3968 | 6.3748404985316487256e-8 | 9.9974748363767264864e-1 | 2.5251636232735135331e-4 |
4096 | 5.9820367402545700341e-8 | 9.9975538804273052358e-1 | 2.4461195726947641764e-4 |
8192 | 1.4930623730921403226e-8 | 9.9987780160058865109e-1 | 1.2219839941134891231e-4 |
16384 | 3.7292864082871180172e-9 | 9.9993893025141979130e-1 | 6.1069748580208701297e-5 |
32768 | 9.3186134290455009977e-10 | 9.9996947312999976526e-1 | 3.0526870000234731343e-5 |
65536 | 2.3290290382993096732e-10 | 9.9998473872684314210e-1 | 1.5261273156857899227e-5 |
131072 | 5.8217308264606891035e-11 | 9.9999236994413684373e-1 | 7.6300558631562685856e-6 |
262144 | 1.4553198043127624613e-11 | 9.9999618512732030472e-1 | 3.8148726796952767944e-6 |
524288 | 3.6381487740431616552e-12 | 9.9999809260499280695e-1 | 1.9073950071930505131e-6 |
1048576 | 9.0951714975794989354e-13 | 9.9999904631345969737e-1 | 9.5368654030263095324e-7 |
2097152 | 2.2737663172229661958e-13 | 9.9999952315962823520e-1 | 4.7684037176479820788e-7 |
4194304 | 5.6843807181980884140e-14 | 9.9999976158057810938e-1 | 2.3841942189061921489e-7 |
8388608 | 1.4210905603717844463e-14 | 9.9999988079048990204e-1 | 1.1920951009795096744e-7 |
16777216 | 3.5527203334169665121e-15 | 9.9999994039529762530e-1 | 5.9604702374693877753e-8 |
2^25 | 8.8817928822158857950e-16 | 9.9999997019766259685e-1 | 2.9802337403153623917e-8 |
2^26 | 2.2204471807704310349e-16 | 9.9999998509883489838e-1 | 1.4901165101621021832e-8 |
2^27 | 5.5511165948614859426e-17 | 9.9999999254941838766e-1 | 7.4505816123444577616e-9 |
2^28 | 1.3877789719153664366e-17 | 9.9999999627470943806e-1 | 3.7252905619364060468e-9 |
2^29 | 3.4694471998297216108e-18 | 9.9999999813735478250e-1 | 1.8626452175044153794e-9 |
2^30 | 8.6736177009275590706e-19 | 9.9999999906867740772e-1 | 9.3132259228505217295e-10 |
2^31 | 2.1684043865012484060e-19 | 9.9999999953433870812e-1 | 4.6566129187543497120e-10 |
2^32 | 5.4210109160900707388e-20 | 9.9999999976716935517e-1 | 2.3283064483336913627e-10 |
2^33 | 1.3552527225334177762e-20 | 9.9999999988358467787e-1 | 1.1641532213120358662e-10 |
2^34 | 3.3881317979487712396e-21 | 9.9999999994179233901e-1 | 5.8207660991883074177e-11 |
2^35 | 8.4703294840492136803e-22 | 9.9999999997089616952e-1 | 2.9103830476924738838e-11 |
2^36 | 2.1175823696167456264e-22 | 9.9999999998544808477e-1 | 1.4551915233561390236e-11 |
2^37 | 5.2939559222440187086e-23 | 9.9999999999272404238e-1 | 7.2759576155187554167e-12 |
2^38 | 1.3234889803295992430e-23 | 9.9999999999636202119e-1 | 3.6379788074347190565e-12 |
2^39 | 3.3087224505263978592e-24 | 9.9999999999818101060e-1 | 1.8189894036339014337e-12 |
2^40 | 8.2718061259335650181e-25 | 9.9999999999909050530e-1 | 9.0949470179551283529e-13 |
2^41 | 2.0679515314342838858e-25 | 9.9999999999954525265e-1 | 4.5474735089225360778e-13 |
2^42 | 5.1698788285226959225e-26 | 9.9999999999977262632e-1 | 2.2737367544471526655e-13 |
2^43 | 1.2924697071225935589e-26 | 9.9999999999988631316e-1 | 1.1368683772199579023e-13 |
2^44 | 3.2311742677961287485e-27 | 9.9999999999994315658e-1 | 5.6843418860905194671e-14 |
2^45 | 8.0779356694770596572e-28 | 9.9999999999997157829e-1 | 2.8421709430428862305e-14 |
2^46 | 2.0194839173675673528e-28 | 9.9999999999998578915e-1 | 1.4210854715208357415e-14 |
2^47 | 5.0487097934167466994e-29 | 9.9999999999999289457e-1 | 7.1054273576026252781e-15 |
2^48 | 1.2621774483539089982e-29 | 9.9999999999999644729e-1 | 3.5527136788009155329e-15 |
2^49 | 3.1554436208844176291e-30 | 9.9999999999999822364e-1 | 1.7763568394003563028e-15 |
2^50 | 7.8886090522105907768e-31 | 9.9999999999999911182e-1 | 8.8817841970015223866e-16 |
input:
N[PDF[LandauDistribution[0, pi/2], -22278298125640850406/100000000000000000000], 42]
FindRoot[CDF[LandauDistribution[0, pi/2], x]==0.5, {x, 1.35578}, WorkingPrecision -> 10]
stat | λ | pdf/cdf |
---|---|---|
mode | -0.22278298125640850406 | pdf:1.806556338205509427830338852686311455672580e-1 |
cdf:2.46722564066880654991e-1 | ||
mode+ε | -0.22278298125640850405 | pdf:1.806556338205509427830338852686311455672526e-1 |
mode-ε | -0.22278298125640850407 | pdf:1.806556338205509427830338852686311455672555e-1 |
0.001-quantile | -2.62916563729442102561 | pdf:5.53616396793125632751e-3 |
cdf:1.00000000000000000000e-3 | ||
0.0025-quantile | -2.44950010103172525499 | pdf:1.17219137893221277325e-2 |
cdf:2.50000000000000000000e-3 | ||
0.005-quantile | -2.29064564961382595297 | pdf:2.02725902569228062119e-2 |
cdf:5.00000000000000000000e-3 | ||
0.01-quantile | -2.10489790934939769338 | pdf:3.42773294495445546634e-2 |
cdf:1.00000000000000000000e-2 | ||
0.025-quantile | -1.79957402870039992314 | pdf:6.53597293311529846705e-2 |
cdf:2.50000000000000000000e-2 | ||
0.05-quantile | -1.49825415177780273396 | pdf:1.00755421921237016806e-1 |
cdf:5.00000000000000000000e-2 | ||
0.1-quantile | -1.09225452805484635423 | pdf:1.43614595304769939252e-1 |
cdf:1.00000000000000000000e-1 | ||
0.15-quantile | -0.77188422256801273027 | pdf:1.66651246301470462725e-1 |
cdf:1.50000000000000000000e-1 | ||
0.2-quantile | -0.48277711307393456125 | pdf:1.77748688795100712727e-1 |
cdf:2.00000000000000000000e-1 | ||
0.25-quantile | -0.20464065154575316905 | pdf:1.80642733739572559544e-1 |
cdf:2.50000000000000000000e-1 | ||
0.3-quantile | 0.073877362330763778128 | pdf:1.77552824904031234758e-1 |
cdf:3.00000000000000000000e-1 | ||
0.35-quantile | 0.361135283101730744896 | pdf:1.69974460237189067086e-1 |
cdf:3.50000000000000000000e-1 | ||
0.4-quantile | 0.664768389237266480219 | pdf:1.59004839147345548518e-1 |
cdf:4.00000000000000000000e-1 | ||
0.45-quantile | 0.992995803490664167419 | pdf:1.45502720472479260093e-1 |
cdf:4.50000000000000000000e-1 | ||
0.5-quantile | 1.35578042099080132503 | pdf:1.30177124012278500446e-1 |
cdf:5.00000000000000000000e-1 | ||
0.55-quantile | 1.76629275098246523993 | pdf:1.13641554166689275741e-1 |
1-cdf:4.50000000000000000000e-1 | ||
0.6-quantile | 2.24319477339787288381 | pdf:9.64501721395269650776e-2 |
1-cdf:4.00000000000000000000e-1 | ||
0.65-quantile | 2.81468113996303570812 | pdf:7.91241567679137110188e-2 |
1-cdf:3.50000000000000000000e-1 | ||
0.7-quantile | 3.52636966712139778598 | pdf:6.21728308638138898835e-2 |
1-cdf:3.00000000000000000000e-1 | ||
0.75-quantile | 4.45839461019464834851 | pdf:4.61123629197672502396e-2 |
1-cdf:2.50000000000000000000e-1 | ||
0.8-quantile | 5.76761029823977006164 | pdf:3.14839071709654162960e-2 |
1-cdf:2.00000000000000000000e-1 | ||
0.85-quantile | 7.81274710480049833585 | pdf:1.88723009862749446388e-2 |
1-cdf:1.50000000000000000000e-1 | ||
0.9-quantile | 11.649284684474405569996 | pdf:8.92512215537733177903e-3 |
1-cdf:1.00000000000000000000e-1 | ||
0.95-quantile | 22.450278078872781782888 | pdf:2.36806377597673980822e-3 |
1-cdf:5.00000000000000000000e-2 | ||
0.975-quantile | 43.202525183847707366482 | pdf:6.08847503967880454084e-4 |
1-cdf:2.50000000000000000000e-2 | ||
0.99-quantile | 104.156361812207433543595 | pdf:9.89848016724864538104e-5 |
1-cdf:1.00000000000000000000e-2 | ||
0.995-quantile | 204.862416150123003839536 | pdf:2.48740118151505872194e-5 |
1-cdf:5.00000000000000000000e-3 | ||
0.9975-quantile | 405.562095010331006820385 | pdf:6.23431200446070672956e-6 |
1-cdf:2.50000000000000000000e-3 | ||
0.999-quantile | 1006.482330369225631256342 | pdf:9.98998368045158069035e-7 |
1-cdf:1.00000000000000000000e-3 |