From ecd1b27fb9dd02fc2be1394e38a9d71bfdef907b Mon Sep 17 00:00:00 2001
From: Firefly <45487685+Snoopy1866@users.noreply.github.com>
Date: Thu, 2 Apr 2026 10:36:43 +0800
Subject: [PATCH 1/3] Create theory.md

---
 docs/theory.md | 19 +++++++++++++++++++
 1 file changed, 19 insertions(+)
 create mode 100644 docs/theory.md

diff --git a/docs/theory.md b/docs/theory.md
new file mode 100644
index 00000000..d42874cd
--- /dev/null
+++ b/docs/theory.md
@@ -0,0 +1,19 @@
+## Theory
+
+### 大数定律
+
+当样本量 $n \Rightarrow \infty$ 时，样本比例 $\hat{p}$ 依概率收敛于总体比例 $p$，即
+
+$$
+\hat{p} \xrightarrow{P} p
+$$
+
+### 连续映射定理
+
+若 $g$ 是连续函数，且 $X_n \xrightarrow{P} X$，则 $g(X_n) \xrightarrow{P} g(X)$
+
+### 正态分布的性质
+
+1. 若 $X \sim N(\mu, \sigma^2)$，则 $P(X \le x) = \Phi(\frac{x-\mu}{\sigma})$
+2. 若 $X \sim N(\mu, \sigma^2)$，则 $P(X \ge x) = 1 - \Phi(\frac{x-\mu}{\sigma})$
+3. $\Phi(x) = 1 - \Phi(-x)$
\ No newline at end of file

From 10fc24ad3601a0dad4261f192c0dfaaf018b741c Mon Sep 17 00:00:00 2001
From: Firefly <45487685+Snoopy1866@users.noreply.github.com>
Date: Thu, 2 Apr 2026 16:01:45 +0800
Subject: [PATCH 2/3] add slutsky theory

---
 docs/theory.md | 18 ++++++++++++------
 zensical.toml  |  3 ++-
 2 files changed, 14 insertions(+), 7 deletions(-)

diff --git a/docs/theory.md b/docs/theory.md
index d42874cd..bdab02aa 100644
--- a/docs/theory.md
+++ b/docs/theory.md
@@ -1,6 +1,4 @@
-## Theory
-
-### 大数定律
+## 大数定律
 
 当样本量 $n \Rightarrow \infty$ 时，样本比例 $\hat{p}$ 依概率收敛于总体比例 $p$，即
 
@@ -8,12 +6,20 @@ $$
 \hat{p} \xrightarrow{P} p
 $$
 
-### 连续映射定理
+## 连续映射定理
 
 若 $g$ 是连续函数，且 $X_n \xrightarrow{P} X$，则 $g(X_n) \xrightarrow{P} g(X)$
 
-### 正态分布的性质
+## 正态分布的性质
 
 1. 若 $X \sim N(\mu, \sigma^2)$，则 $P(X \le x) = \Phi(\frac{x-\mu}{\sigma})$
 2. 若 $X \sim N(\mu, \sigma^2)$，则 $P(X \ge x) = 1 - \Phi(\frac{x-\mu}{\sigma})$
-3. $\Phi(x) = 1 - \Phi(-x)$
\ No newline at end of file
+3. $\Phi(x) = 1 - \Phi(-x)$
+
+## Slutsky 定理
+
+令 $X_n \xrightarrow{d} X$ 且 $Y_n \xrightarrow{P} c$，其中 $c$ 为常数，则：
+
+1. $X_n + Y_n \xrightarrow{d} X + c$
+2. $X_nY_n \xrightarrow{d} cX$
+3. $Y_n^{-1}X_n \xrightarrow{d} c^{-1}X$，其中 $c \neq 0$
\ No newline at end of file
diff --git a/zensical.toml b/zensical.toml
index 8bb3d6a9..020e5b5f 100644
--- a/zensical.toml
+++ b/zensical.toml
@@ -8,7 +8,8 @@ nav = [
         { "两独立样本率优效性设计" = "models/proportion/independent/superiority.md" },
         { "相关系数" = "models/correlation/inequality.md" }
     ] },
-    { "API Reference" = "api.md" }
+    { "API Reference" = "api.md" },
+    { "Theory Reference" = "theory.md" }
 ]
 site_name = "pystatpower"
 site_url = "https://pystatpower.readthedocs.io"

From 6e7c1cefabc37aab08e0d60a3a1f41044ef6a2e4 Mon Sep 17 00:00:00 2001
From: "pre-commit-ci[bot]"
 <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Date: Thu, 2 Apr 2026 08:02:46 +0000
Subject: [PATCH 3/3] chore: auto fixes from pre-commit hooks

for more information, see https://pre-commit.ci
---
 docs/theory.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/theory.md b/docs/theory.md
index bdab02aa..9c9b6683 100644
--- a/docs/theory.md
+++ b/docs/theory.md
@@ -22,4 +22,4 @@ $$
 
 1. $X_n + Y_n \xrightarrow{d} X + c$
 2. $X_nY_n \xrightarrow{d} cX$
-3. $Y_n^{-1}X_n \xrightarrow{d} c^{-1}X$，其中 $c \neq 0$
\ No newline at end of file
+3. $Y_n^{-1}X_n \xrightarrow{d} c^{-1}X$，其中 $c \neq 0$