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Glossary: use 边缘分布 for "marginal distribution" in inventory_dynamics#200

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fix/glossary-marginal-distribution
Jul 23, 2026
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Glossary: use 边缘分布 for "marginal distribution" in inventory_dynamics#200
mmcky merged 1 commit into
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fix/glossary-marginal-distribution

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@mmcky mmcky commented Jul 23, 2026

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Fixes the terminology defect the AI review caught on #198, which merged before it was addressed and is currently on main.

The change

Four occurrences of 边际分布 → 边缘分布 in inventory_dynamics.md: the H2 heading, its heading-map value, and two body references.

The glossary is explicit and context-aware here — "Marginal distribution" maps to 边缘分布 with "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 is the probability sense throughout: $\psi_T$ is the distribution of $X_T$ at a fixed time $T$, and the later reference is to the sequence ${\psi_t}$ converging to a limiting distribution. 边缘分布 is the standard mathematical term for that; 边际 is "marginal" as in marginal cost.

The heading-map value is updated alongside the heading deliberately. Leaving them out of step would make the next sync mis-map the section.

The same defect exists in eight other lectures

Found while checking the scope, and deliberately not fixed here — each needs its own read, and bundling fifty-odd edits across nine unrelated lectures into one PR would make it unreviewable.

Lecture Occurrences
prob_matrix.md 25
finite_markov.md 15
ak_aiyagari.md 3
aiyagari.md 2
ar1_turningpts.md 1
lake_model.md 1
mle.md 1
multi_hyper.md 1

Sampled contexts are all the probability sense — "discrete marginal distribution", "sample marginal distribution", a Marginal Distributions heading, "the marginal distribution of $a_t$" — so all appear to be the same defect rather than deliberate usage. Worth confirming lecture by lecture before changing them.

The edition is currently inconsistent with itself: six other lectures already use 边缘分布 correctly. lecture-intro.zh-cn has one affected file too. Happy to follow up with a sweep if wanted.

Why this one is worth the paperwork

Beyond the term itself, this is the first genuine catch by reviewer verdict v2 in production, and it merged unactioned — which is a useful signal for the human-review program (QuantEcon/project-translation#15). The editor routing worked exactly as designed; what is missing is an owner, which is what Stage 2 routing adds. Recorded on QuantEcon/action-translation#147.

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.
Copilot AI review requested due to automatic review settings July 23, 2026 05:01
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Pull request overview

This PR corrects the Chinese terminology for “marginal distribution” in the probability/statistics sense within the inventory_dynamics lecture, changing it from 边际分布 (economics “marginal”) to the standard mathematical term 边缘分布. This aligns the section heading, the translation heading-map, and in-text references so future sync tooling maps the section correctly.

Changes:

  • Update the front-matter translation.headings entry for “Marginal distributions” to 边缘分布
  • Rename the corresponding H2 heading to 边缘分布
  • Update two body references to use 边缘分布 consistently

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@mmcky
mmcky merged commit cc67433 into main Jul 23, 2026
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@mmcky
mmcky deleted the fix/glossary-marginal-distribution branch July 23, 2026 05:28
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