New posts in random-variables

Integral boundaries of random variable when $|x|+|y| \leq 1$

probability integration probability-distributions definite-integrals random-variables

Is entropy of a binomial distribution an increasing function of $n$?

probability probability-distributions random-variables information-theory entropy

Generate random points on perimeter of ellipse

statistics random-variables transformation

Showing $\varphi(t)\neq 0$ when $\varphi$ is a characteristic function of an infinitely divisible distribution

probability-theory random-variables characteristic-functions

What is the difference between a random vector and a stochastic process?

probability statistics probability-theory stochastic-processes random-variables

What's the difference between a random variable and a measurable function?

measure-theory probability-theory random-variables

Independence and conditional expectation

probability-theory random-variables conditional-expectation independence

Is $X$ and $X-0$ the same random variable?

probability-theory random-variables

If X and Y are equal almost surely, then they have the same distribution, but the reverse direction is not correct

probability-theory measure-theory probability-distributions random-variables almost-everywhere

Markov inequality with bounded random variable

probability probability-theory inequality random-variables expected-value

Why use infimum in definition of Quantile function?

probability-theory probability-distributions random-variables

What exactly is a random variable?

random-variables terminology definition

Variance of the random sum of a Poisson?

probability random-variables poisson-distribution

independent, identically distributed (IID) random variables [closed]

probability probability-theory random-variables independence

Find the probability that a geometric random variable $X$ is an even number

probability random-variables

Can sum of two random variables be uniformly distributed

probability-theory probability-distributions random-variables uniform-distribution

Property of zero mean and unit variance random variable

probability random-variables expected-value moment-generating-functions

$\sigma$ algebra of collection of random variables

measure-theory random-variables

Transformation of Random Variable $Y = X^2$

probability random-variables density-function

Pdf of sum of independent rvs is the convolution of pdfs proof

probability random-variables conditional-probability independence bivariate-distributions