List questions from random-variables | MathQa

$f(t)-$a characteristic function. Prove that $|f(t)|$ does not have to be a characteristic function based on the example:

Published on 12 Jan 2025 - 8:25

Find the density function of a random variable

Published on 12 Jan 2025 - 8:37

Conditional joint information of two random variables $X,Y$ given $Z$

Published on 12 Jan 2025 - 19:13

Why the case of independence of random variables is more important than any other specific type of dependence?

Published on 12 Jan 2025 - 8:25

limsup and liminf of sequence of random variables and Borel Cantelli

Published on 12 Jan 2025 - 8:38

For $r′ < r,$ show that $|X|^{r′} ≤ 1 + |X|^r $ and conclude that if $E|X|^r < \infty$, then $E|X|^{r′} < E|X|^r$ for all $0< r′ < r.$

Published on 12 Jan 2025 - 8:38

Calculate distribution of function of random variable using total probability formula

Published on 12 Jan 2025 - 8:38

Show that two random variables are independent.

Published on 12 Jan 2025 - 8:38

Indicator function, problem

Published on 12 Jan 2025 - 17:57

Variance of a non-linear function of a random variable

Published on 12 Jan 2025 - 8:38