# Questions tagged [marginal-distribution]

Marginal probability distributions arise from joint probability measures on product spaces. The marginal distributions are the push-forward measures induced by the coordinate projections.

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### Conditional probability for 3 random variables failing

I'm sure I'm doing a wrong assumption here but I can't see it and was hoping someone would point it out. Suppose three continuous random variables $x_t, x_{t-1}$ and $x_0$. We can write the ...
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### Can you have a multi-variable Marginal Distribution?

The SHAP algorithm is a commonly used method in Machine Learning to explain black-box models. I'm working on producing my own version of the SHAP algorithm to help my understanding of the method. But ...
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### What does a bar "|" between Expectation subscripts mean?

I've seen this notation in the SHAP paper, which extends Shapley values to Machine Learning models to give a form of local explanation. In the paper, on page 5, the author uses the following notation: ...
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### Proving Lemmas in Gaussian Distribution

I am struggling to prove the following lemmas: How would you suggest me to solve it?
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### If $X\sim G(a,b_{1})$ and $Y\sim G(a,b_{2})$, then what will be the density function for U=min(X,X+Y)?

Let $X$ and $Y$ two independent random variables for gamma distributions with common shape parameter $a$ and different rate parameter $b_{1}$ and $b_{2}.$ If $U=\min(X,X+Y),$ then what will be the ...
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