《Probability and Mathematical Statistics》读者视角问题清单

检查时间：2026-06-04

检查范围：content/courses/en/probability-and-statistics 下的课程入口、章节索引和主要 MDX 课文。以下问题从读者学习体验出发整理，优先级越高，越可能直接导致读者中断阅读、误解知识或不信任课程。

P0：会直接阻断学习的问题

24 个正文页接近空骨架，读者点进去没有可学习内容

受影响文件：

• content/courses/en/probability-and-statistics/hypothesis-testing/basic-concepts.mdx
• content/courses/en/probability-and-statistics/hypothesis-testing/exercises.mdx
• content/courses/en/probability-and-statistics/hypothesis-testing/single-normal-population.mdx
• content/courses/en/probability-and-statistics/hypothesis-testing/two-normal-populations.mdx
• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/central-limit-theorem.mdx
• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/chebyshev-inequality.mdx
• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/exercises.mdx
• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/law-of-large-numbers.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/common-distributions-expectation.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/covariance-correlation.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/exercises.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/mathematical-expectation-applications.mdx
• 另有 12 个同类文件未列出。

这些页面基本只剩 frontmatter、标题、组件或极少量说明，无法承接课程路径。读者会以为内容未完成，尤其当它们出现在章节中部时，会直接中断学习。

建议：补齐正文、例题、阶段小结和必要图示；若短期无法补齐，先从导航中隐藏或标注为未完成。

P1：结构和学习路径问题

6 个章节索引页缺少导读

受影响文件：

• content/courses/en/probability-and-statistics/hypothesis-testing/index.mdx
• content/courses/en/probability-and-statistics/index.mdx
• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/index.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/index.mdx
• content/courses/en/probability-and-statistics/parameter-estimation/index.mdx
• content/courses/en/probability-and-statistics/random-events-and-probability/index.mdx

这些索引页通常只有标题或封面组件，没有说明本章要解决什么问题、子章节顺序、前置知识或读完后的能力目标。读者进入章节入口时会缺少方向。

建议：每个章节索引至少补“本章问题、学习目标、建议阅读顺序、可跳过/需预备的内容”。如果只是导航占位，建议暂时隐藏。

课程首页缺少读者路径说明

受影响文件：

• content/courses/en/probability-and-statistics/index.mdx

首页正文信息量偏少，读者很难判断课程适合谁、需要哪些基础、应该按什么路线学习，以及学完能解决什么问题。

建议：补充适合读者、前置知识、章节地图、推荐路径和最终学习产出。

5 个练习页缺少答案或反馈

受影响文件：

• content/courses/en/probability-and-statistics/hypothesis-testing/exercises.mdx
• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/exercises.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/exercises.mdx
• content/courses/en/probability-and-statistics/parameter-estimation/exercises.mdx
• content/courses/en/probability-and-statistics/random-events-and-probability/exercises.mdx

课程包含练习或自测，但缺少答案、提示、常见错误或判断标准。自学读者做完后无法确认是否理解正确。

建议：为每个练习补参考答案折叠区；复杂题至少提供提示、关键步骤和最终结果。

8 个同级页面共享相同 order

受影响文件：

• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/central-limit-theorem.mdx
• content/courses/en/probability-and-statistics/large-numbers-and-central-limit-theorem/index.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/index.mdx
• content/courses/en/probability-and-statistics/numerical-characteristics-of-random-variables/mathematical-expectation.mdx
• content/courses/en/probability-and-statistics/parameter-estimation/exercises.mdx
• content/courses/en/probability-and-statistics/parameter-estimation/index.mdx
• content/courses/en/probability-and-statistics/random-events-and-probability/index.mdx
• content/courses/en/probability-and-statistics/random-events-and-probability/sample-space-events.mdx

同一目录下多个页面使用相同 order，导航可能依赖文件名或构建器默认顺序，导致读者看到的章节顺序不稳定。

建议：同级页面使用唯一递增 order；若需要章节级排序和文章级排序，拆分字段或明确排序策略。

P2：阅读体验问题

图像和可视化资源偏少

检查到本课程共有 30 个 MDX 页面，但图片/本地图示引用约 0 处。对当前主题来说，读者需要通过图示理解结构、空间关系、流程或公式含义；只靠文字会增加学习负担。

建议：优先给核心概念页补图，例如课程首页、章节索引、最容易误解的推导/流程页。每张图应配短说明，不要只放装饰图。

建议修复顺序

1. 补齐或隐藏空骨架正文页。
2. 补课程首页和章节索引导读。
3. 统一同级页面 order。
4. 给练习补答案或提示。
5. 补关键图示和文字兜底。