# Questions tagged [marginal-distribution]

The marginal distribution refers to the probability distribution of a subset of variables contained in a joint distribution.

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### Law of total probability for random variables with Y < X

Could someone explain to me why the following equation holds? It is related to the law of total probability , but I don't get it. I'm confused because it's two random variables on the right side and ...
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### Marginal likelihood: Why is it difficult to compute in this case?

I have been reading up a bit on generative models particularly trying to understand the math behind VAE. While looking at a talk online, the speaker mentions the following definition of marginal ...
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### Question re: Marginal pmf for Joint Discrete Variables (Textbook Exercise)

Given a discrete joint distribution with pdf $f(x, y) = p^y (1 - p)^2$ for $p \in (0, 1)$ and $x, y \in \mathbb{N}, x \leq y$ (here I include 0 in the natural numbers), find the marginal ...
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### Combining marginal bivariate probability distributions into a single multivariate one

Consider a set of 3 correlated random variables $X$, $Y$ and $Z$. I have calculated bivariate marginal distributions over any pairs of these random variables. That is, I know probability density ...
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