From adc194ea809bb2b7e06c70e4964b1e8a1f9ee5f3 Mon Sep 17 00:00:00 2001 From: yh202109 Date: Sun, 21 Jul 2024 14:52:33 -0400 Subject: [PATCH] v0.2.20 --- docs/statlab_kappa2.rst | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/docs/statlab_kappa2.rst b/docs/statlab_kappa2.rst index 821acd9c..4560f3ce 100644 --- a/docs/statlab_kappa2.rst +++ b/docs/statlab_kappa2.rst @@ -285,9 +285,8 @@ and To calculate :eq:`eq_kappa2_vn2`, we can use the MGF, :math:`\left(\sum_{j}p_je^{t_j}\right)^R`, to derive -:math:`E\left(N_{ij}^2\right) = Rp_j + R(R-1)p_j^2`, -:math:`E\left(N_{ij}^3\right) = Rp_j + 3R(R-1)p_j^2 + R(R-1)(R-2)p_j^3`, and -:math:`E\left(N_{ij}^4\right) =` (Lab Exercise; to be used in :eq:`eq_kappa2_vn3`). +:math:`E\left(N_{ij}^2\right) = Rp_j + R(R-1)p_j^2`, and +:math:`E\left(N_{ij}^3\right) = Rp_j + 3R(R-1)p_j^2 + R(R-1)(R-2)p_j^3`. The first element of :eq:`eq_kappa2_vn2` can be calculated as [2]_ :sup:`(Eq. 12)`