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Standard error on best fit parameters of stretched exponential #49

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Khev opened this issue Jan 31, 2018 · 2 comments
Open

Standard error on best fit parameters of stretched exponential #49

Khev opened this issue Jan 31, 2018 · 2 comments

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@Khev
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Khev commented Jan 31, 2018

Hi there,

Thanks for such an amazing package. It's made my life hell of a lot easier!

One question: I can't figure out how to get the standard errors on the best fit parameters for the non-powerlaw distributions (i.e. lognormal, stretched expontial, etc). Am I being stupid? Or is this not provided. If the latter, it would be great if it could be implemented!

I would happily provide help implementing if you need / want it.

@jeffalstott
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jeffalstott commented Feb 1, 2018 via email

@Khev
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Khev commented Feb 1, 2018

Challenge accepted! I'm reading through Aaron Clausets and Mark Newman's nice paper on MLE estiamtion -- https://arxiv.org/pdf/0706.1062.pdf --. They have an analytic formula in the appendix for the standard errors for a given distribution. I'll work out the results for the streched exponential, etc and do some tests and let you know the results.

One thought: I could use bayeisan inference to estimate the error is the parameters also. Python has a nice MCMC module -- called pyMc -- which should do the trick.

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