New posts in Probability Theory

Proof of $\mathbb E[\exp( \lambda XY)]=\mathbb E[\exp( \lambda^2 X^2)/2]$, where $X,Y$ are independent standard normal random variables

Probabilistic inequality for an antisymmetric function

Waiting time for a pattern in coin tossing

Radon–Nikodym Derivative and Bayes' Theorem

Expected number of dice rolls before rolling "1,2,3,4,5,6"

Can every positive real number $\leqslant\frac{\pi^2}6$ be expressed in this form?

How to show that $\lim_{n\to\infty}\mathbb{P}\left(\bigg|\frac{1}{n}S_n-f(n)\bigg|>\varepsilon\right)=0$

Derivative and calculus over sets such as the rational numbers

Uniqueness of the limit on random variable

variance of maximum