概率论与数理统计 (Spring 2025)/An exercise on induced distribution: Revision history

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15 April 2025

  • curprev 12:0212:02, 15 April 2025 Etone talk contribs 2,230 bytes +2 No edit summary
  • curprev 12:0112:01, 15 April 2025 Etone talk contribs 2,228 bytes +2,228 Created page with "考虑如下问题：单位圆中独立均匀分布的两点<math>A</math>和<math>B</math>，令线段<math>AB</math>中点为<math>C</math>。问<math>C</math>的概率密度是什么？ 对此，我们做出如下猜测：单位圆中任意点<math>c</math>的概率密度应该正比于如下区域的面积——该区域中所有点及其关于<math>c</math>的对称点均在单位圆中，即<math>c</math>的概率密度正比于如下点集的面积 :<math>\begin{..."
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