Questions tagged [marginal-distribution]

I have a 6-dimensional data which I fitted with a 6-dimensional Gaussian mixture model and I would like to obtain the marginal distribution of all 1-dimensional events. However, I find it difficult to perform integration over the irrelevant…

I am trying to find the marginal pdf of a uniform distribution on a unit disk. Let $f_{XY}=\frac{1}{\pi}$, where $X^2+Y^2\leq1$ Here's my attempt: $$f_X(x)=\int^{\sqrt{1-x^2}}_{-\sqrt{1-x^2}}\frac{1}{\pi}dy = \frac{1}{2\sqrt{1-x^2}}$$ But i'm not…

I have been given a joint probability distribution function and asked to find the marginal probability distributions. $$f(x,y)=\begin{cases} λ^2e^{-λy}&0\le x\le y\\ 0&\text{otherwise} \end{cases}$$ how do i compute the marginal distribution of x if…

Find the marginal probability density function of x. I found the marginal of y but cannot understand how to find the marginal of x. Can someone explain how do we approach this problem?