Definition: Marginal probability distribution
Index:
The Book of Statistical Proofs ▷
General Theorems ▷
Probability theory ▷
Probability distributions ▷
Marginal distribution
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Metadata: ID: D57 | shortcut: dist-marg | author: JoramSoch | date: 2020-05-17, 21:02.
Definition: Let $X$ and $Y$ be random variables with sets of possible outcomes $\mathcal{X}$ and $\mathcal{Y}$. Then, the marginal distribution of $X$ is a probability distribution that specifies the probability of the event that $X = x$ irrespective of the value of $Y$ for each possible value $x \in \mathcal{X}$. The marginal distribution can be obtained from the joint distribution of $X$ and $Y$ using the law of marginal probability.
- Wikipedia (2020): "Marginal distribution"; in: Wikipedia, the free encyclopedia, retrieved on 2020-05-17; URL: https://en.wikipedia.org/wiki/Marginal_distribution.
Metadata: ID: D57 | shortcut: dist-marg | author: JoramSoch | date: 2020-05-17, 21:02.