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Diffstat (limited to 'source/know/concept/binomial-distribution')
| -rw-r--r-- | source/know/concept/binomial-distribution/index.md | 7 |
1 files changed, 4 insertions, 3 deletions
diff --git a/source/know/concept/binomial-distribution/index.md b/source/know/concept/binomial-distribution/index.md index c25da3d..14ba4cb 100644 --- a/source/know/concept/binomial-distribution/index.md +++ b/source/know/concept/binomial-distribution/index.md @@ -1,5 +1,6 @@ --- title: "Binomial distribution" +sort_title: "Binomial distribution" date: 2021-02-26 categories: - Statistics @@ -46,7 +47,7 @@ $$\begin{aligned} <div class="accordion"> <input type="checkbox" id="proof-mean"/> <label for="proof-mean">Proof</label> -<div class="hidden"> +<div class="hidden" markdown="1"> <label for="proof-mean">Proof.</label> The trick is to treat $p$ and $q$ as independent until the last moment: @@ -76,7 +77,7 @@ $$\begin{aligned} <div class="accordion"> <input type="checkbox" id="proof-var"/> <label for="proof-var">Proof</label> -<div class="hidden"> +<div class="hidden" markdown="1"> <label for="proof-var">Proof.</label> We use the same trick to calculate $\overline{n^2}$ (the mean squared number of successes): @@ -121,7 +122,7 @@ $$\begin{aligned} <div class="accordion"> <input type="checkbox" id="proof-normal"/> <label for="proof-normal">Proof</label> -<div class="hidden"> +<div class="hidden" markdown="1"> <label for="proof-normal">Proof.</label> We take the Taylor expansion of $\ln\!\big(P_N(n)\big)$ around the mean $\mu = Np$: |