# Questions tagged [density-function]

For questions on using, finding, or otherwise relating to probability density functions (PDFs)

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### Distributions over a unit square

Problem definition Consider the following bivariate random variable \begin{equation*} \overline{z}\triangleq \frac{1}{4} \sum_{j=1}^4 z_j \end{equation*} where $z_1, \dots, z_4$ are uniformly ...
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### Why is absolute convergence required?

Definitions try to precisely formalize intuitive ideas. For example, the concept of mathematical expectation attempts to rigorously formalize the idea of quantifying the average outcome of a random ...
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### Probability density function of three independent random variables

I will try to describe the question first and how i solve the problem. Here we have three independent random variable $X,Y,Z$ and $S_3=X+Y+Z$, the probability density function of three variable are ...
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### How to find the probability density function of a random variable that is related to another random variable?

I found a similar question already answered here: Find CDF of random variable which depends on other variable Our goal is to find $f_Y$ (the PDF) which is the derivative of $F_Y$ (the CDF). $X$ is a ...
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