From 6d9811aeec2cd2d3ffe13411956547f8705961a6 Mon Sep 17 00:00:00 2001
From: 0PrashantYadav0 <devprashantkyadav@gmail.com>
Date: Sun, 18 Oct 2026 12:28:30 +0530
Subject: [PATCH] docs: fix README equations in
 `stats/base/dists/negative-binomial`

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---
---
 .../stats/base/dists/negative-binomial/kurtosis/README.md   | 6 +++---
 .../stats/base/dists/negative-binomial/mean/README.md       | 6 +++---
 .../stats/base/dists/negative-binomial/mode/README.md       | 6 +++---
 .../stats/base/dists/negative-binomial/skewness/README.md   | 6 +++---
 .../stats/base/dists/negative-binomial/variance/README.md   | 6 +++---
 5 files changed, 15 insertions(+), 15 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/kurtosis/README.md b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/kurtosis/README.md
index 25fdfce079b6..a28bb54d3daf 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/kurtosis/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/kurtosis/README.md
@@ -28,13 +28,13 @@ limitations under the License.
 
 The [excess kurtosis][kurtosis] for a [negative binomial][negative-binomial-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:negative_binomial_kurtosis" align="center" raw="\operatorname{Kurt}\left( X \right) = \frac{6}{r} + \frac{(1-p)^{2}}{pr}" alt="Excess kurtosis for a negative binomial distribution."> -->
+<!-- <equation class="equation" label="eq:negative_binomial_kurtosis" align="center" raw="\operatorname{Kurt}\left( X \right) = \frac{6}{r} + \frac{p^{2}}{r(1-p)}" alt="Excess kurtosis for a negative binomial distribution."> -->
 
 ```math
-\mathop{\mathrm{Kurt}}\left( X \right) = \frac{6}{r} + \frac{(1-p)^{2}}{pr}
+\mathop{\mathrm{Kurt}}\left( X \right) = \frac{6}{r} + \frac{p^{2}}{r(1-p)}
 ```
 
-<!-- <div class="equation" align="center" data-raw-text="\operatorname{Kurt}\left( X \right) = \frac{6}{r} + \frac{(1-p)^{2}}{pr}" data-equation="eq:negative_binomial_kurtosis">
+<!-- <div class="equation" align="center" data-raw-text="\operatorname{Kurt}\left( X \right) = \frac{6}{r} + \frac{p^{2}}{r(1-p)}" data-equation="eq:negative_binomial_kurtosis">
     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/kurtosis/docs/img/equation_negative_binomial_kurtosis.svg" alt="Excess kurtosis for a negative binomial distribution.">
     <br>
 </div> -->
diff --git a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mean/README.md b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mean/README.md
index de925a822ab7..34d0f5b47545 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mean/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mean/README.md
@@ -28,13 +28,13 @@ limitations under the License.
 
 The [mean][expected-value] for a [negative binomial][negative-binomial-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:negative_binomial_mean" align="center" raw="\mathbb{E} \left[ X \right] = \frac{pr}{1-p}" alt="Mean for a negative binomial distribution."> -->
+<!-- <equation class="equation" label="eq:negative_binomial_mean" align="center" raw="\mathbb{E} \left[ X \right] = \frac{r(1-p)}{p}" alt="Mean for a negative binomial distribution."> -->
 
 ```math
-\mathbb{E} \left[ X \right] = \frac{pr}{1-p}
+\mathbb{E} \left[ X \right] = \frac{r(1-p)}{p}
 ```
 
-<!-- <div class="equation" align="center" data-raw-text="\mathbb{E} \left[ X \right] = \frac{pr}{1-p}" data-equation="eq:negative_binomial_mean">
+<!-- <div class="equation" align="center" data-raw-text="\mathbb{E} \left[ X \right] = \frac{r(1-p)}{p}" data-equation="eq:negative_binomial_mean">
     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mean/docs/img/equation_negative_binomial_mean.svg" alt="Mean for a negative binomial distribution.">
     <br>
 </div> -->
diff --git a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mode/README.md b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mode/README.md
index 5d6ff71eda93..a281712134fb 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mode/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mode/README.md
@@ -28,13 +28,13 @@ limitations under the License.
 
 The [mode][mode] for a [negative-binomial][negative-binomial-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:negative_binomial_mode" align="center" raw="\operatorname{mode}\left( X \right) = \begin{cases}{\big \lfloor }{\frac{p(r-1)}{1-p}}{\big \rfloor } & \text{ if }\ r>1\\ 0 & \text{ if } \ r\leq 1\end{cases}" alt="Mode for a negative-binomial distribution."> -->
+<!-- <equation class="equation" label="eq:negative_binomial_mode" align="center" raw="\operatorname{mode}\left( X \right) = \begin{cases}{\big \lfloor }{\frac{(1-p)(r-1)}{p}}{\big \rfloor } & \text{ if }\ r>1\\ 0 & \text{ if } \ r\leq 1\end{cases}" alt="Mode for a negative-binomial distribution."> -->
 
 ```math
-\mathop{\mathrm{mode}}\left( X \right) = \begin{cases}{\big \lfloor }{\frac{p(r-1)}{1-p}}{\big \rfloor } & \text{ if }\ r>1\\ 0 & \text{ if } \ r\leq 1\end{cases}
+\mathop{\mathrm{mode}}\left( X \right) = \begin{cases}{\big \lfloor }{\frac{(1-p)(r-1)}{p}}{\big \rfloor } & \text{ if }\ r>1\\ 0 & \text{ if } \ r\leq 1\end{cases}
 ```
 
-<!-- <div class="equation" align="center" data-raw-text="\operatorname{mode}\left( X \right) = \begin{cases}{\big \lfloor }{\frac{p(r-1)}{1-p}}{\big \rfloor } &amp; \text{ if }\ r&gt;1\\ 0 &amp; \text{ if } \ r\leq 1\end{cases}" data-equation="eq:negative_binomial_mode">
+<!-- <div class="equation" align="center" data-raw-text="\operatorname{mode}\left( X \right) = \begin{cases}{\big \lfloor }{\frac{(1-p)(r-1)}{p}}{\big \rfloor } &amp; \text{ if }\ r&gt;1\\ 0 &amp; \text{ if } \ r\leq 1\end{cases}" data-equation="eq:negative_binomial_mode">
     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/mode/docs/img/equation_negative_binomial_mode.svg" alt="Mode for a negative-binomial distribution.">
     <br>
 </div> -->
diff --git a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/skewness/README.md b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/skewness/README.md
index 29971dcd2f94..4fbe29d32f64 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/skewness/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/skewness/README.md
@@ -28,13 +28,13 @@ limitations under the License.
 
 The [skewness][skewness] for a [negative binomial][negative-binomial-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:negative_binomial_skewness" align="center" raw="\operatorname{skew}\left( X \right) = \frac{1+p}{\sqrt{pr}}" alt="Skewness for a negative binomial distribution."> -->
+<!-- <equation class="equation" label="eq:negative_binomial_skewness" align="center" raw="\operatorname{skew}\left( X \right) = \frac{2-p}{\sqrt{r(1-p)}}" alt="Skewness for a negative binomial distribution."> -->
 
 ```math
-\mathop{\mathrm{skew}}\left( X \right) = \frac{1+p}{\sqrt{pr}}
+\mathop{\mathrm{skew}}\left( X \right) = \frac{2-p}{\sqrt{r(1-p)}}
 ```
 
-<!-- <div class="equation" align="center" data-raw-text="\operatorname{skew}\left( X \right) = \frac{1+p}{\sqrt{pr}}" data-equation="eq:negative_binomial_skewness">
+<!-- <div class="equation" align="center" data-raw-text="\operatorname{skew}\left( X \right) = \frac{2-p}{\sqrt{r(1-p)}}" data-equation="eq:negative_binomial_skewness">
     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/skewness/docs/img/equation_negative_binomial_skewness.svg" alt="Skewness for a negative binomial distribution.">
     <br>
 </div> -->
diff --git a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/variance/README.md b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/variance/README.md
index c61ea20ca838..54037d96d37e 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/variance/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/variance/README.md
@@ -28,13 +28,13 @@ limitations under the License.
 
 The [variance][variance] for a [negative binomial][negative-binomial-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:negative_binomial_variance" align="center" raw="\operatorname{Var}\left( X \right) = \frac{pr}{(1-p)^{2}}" alt="Variance for a negative binomial distribution."> -->
+<!-- <equation class="equation" label="eq:negative_binomial_variance" align="center" raw="\operatorname{Var}\left( X \right) = \frac{r(1-p)}{p^{2}}" alt="Variance for a negative binomial distribution."> -->
 
 ```math
-\mathop{\mathrm{Var}}\left( X \right) = \frac{pr}{(1-p)^{2}}
+\mathop{\mathrm{Var}}\left( X \right) = \frac{r(1-p)}{p^{2}}
 ```
 
-<!-- <div class="equation" align="center" data-raw-text="\operatorname{Var}\left( X \right) = \frac{pr}{(1-p)^{2}}" data-equation="eq:negative_binomial_variance">
+<!-- <div class="equation" align="center" data-raw-text="\operatorname{Var}\left( X \right) = \frac{r(1-p)}{p^{2}}" data-equation="eq:negative_binomial_variance">
     <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/variance/docs/img/equation_negative_binomial_variance.svg" alt="Variance for a negative binomial distribution.">
     <br>
 </div> -->