From 16e13c6e299f0dd6ef52ac70ae08fda9d7cc2ff3 Mon Sep 17 00:00:00 2001 From: yh202109 Date: Sat, 20 Jul 2024 23:03:49 -0400 Subject: [PATCH] v0.2.20 --- docs/statlab_kappa2.rst | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/docs/statlab_kappa2.rst b/docs/statlab_kappa2.rst index bba8b63f..7905f029 100644 --- a/docs/statlab_kappa2.rst +++ b/docs/statlab_kappa2.rst @@ -284,10 +284,10 @@ and =& E\left(\sum_{j} N_{ij}^4\right) + E\left(\sum_j\sum_{k \neq j} N_{ij}^2 N_{ik}^2 \right) - \left(E\left(\sum_{j} N_{ij}^2\right)\right)^2. 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`, and -:math:`E\left(N__{ij}^3\right) = Rp_j + 3R(R-1)p_j^2 + R(R-1)(R-2)p_j^3`. +: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` is [2]_ :sup:`(Eq. 12)` +The first element of :eq:`eq_kappa2_vn2` [2]_ :sup:`(Eq. 12)` .. math::