sample space

样本空间

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

Translation evidence: Literature usage

Meaning in context

The set Ω\Omega of possible outcomes in a specified probability model.

给定概率模型中所有可能结果组成的集合。

Example

Two binary observations have sample space {0,1}2\{0,1\}^2.

Usage and distinctions

Outcomes are points; events are measurable sets of outcomes.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

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

Translation sources

  1. 李东风 — 应用随机过程（北京大学）§1.1.1 样本空间，基本概念 · Checked 2026-10-14
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