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Glossary: 边际分布 → 边缘分布 for "marginal distribution" (#200)
The AI review on #198 flagged this and the PR merged before it was fixed, so the term is currently on main. The glossary is explicit and context-aware: "Marginal distribution" maps to 边缘分布 tagged `"context": "probability"`, while every economics sense correctly keeps 边际 — 边际产量, 边际消费倾向, 边际收入, 边际效用. This lecture uses the probability sense throughout: ψ_T is the distribution of X_T at a fixed time T, and the later reference is to the sequence {ψ_t} converging to a limiting distribution. 边缘分布 is the standard mathematical term for that; 边际 is "marginal" as in marginal cost. Four occurrences: the H2 heading, its heading-map value, and two body references. The heading-map value is updated alongside the heading deliberately — leaving them out of step would make the next sync mis-map the section.
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lectures/inventory_dynamics.md

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headings:
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Overview: 概述
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Sample paths: 样本路径
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Marginal distributions: 边际分布
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Marginal distributions: 边缘分布
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Exercises: 练习
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plt.show()
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```
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## 边际分布
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## 边缘分布
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现在让我们来看看某一固定时间点 $T$ 时 $X_T$ 的边际分布 $\psi_T$。
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现在让我们来看看某一固定时间点 $T$ 时 $X_T$ 的边缘分布 $\psi_T$。
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我们将通过在给定初始条件 $X_0$ 的情况下,生成多个 $X_T$ 的样本来实现。
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(作为背景知识,有关平稳性的讨论,请参见 {doc}`我们关于AR(1)过程的讲座 <intro:ar1_processes>`——基本概念是相同的。)
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特别是,边际分布序列$\{\psi_t\}$正在收敛到一个唯一的极限分布,且该分布不依赖于初始条件。
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特别是,边缘分布序列$\{\psi_t\}$正在收敛到一个唯一的极限分布,且该分布不依赖于初始条件。
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虽然我们不会在此证明这一点,但我们可以通过模拟来研究这一性质。
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