event

随机事件

Probability · Undergraduate · Mathematics Resources editorial compilation (AI-assisted)

Other names / variants: 事件

Translation evidence: Literature usage

Meaning in context

A member AA of the sigma-algebra F\mathcal F in a probability space, so that P(A)P(A) is defined.

概率空间中属于指定事件σ代数的集合，因而其概率有定义。

Example

On a die space, {2,4,6}\{2,4,6\} is the event of an even result.

Usage and distinctions

An arbitrary subset need not be an event on an uncountable sample space.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

  1. Gregory F. Lawler — Notes on ProbabilitySection 1, Probability spaces, explanation of F · Checked 2026-10-14

Translation sources

  1. 李东风 — 应用随机过程（北京大学）§1.1.2 σ代数，定义1.1 · Checked 2026-10-14
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