New posts in random-variables

How to explain why the probability of a continuous random variable at a specific value is 0?

probability random-variables

Is $\pi^k$ any closer to its nearest integer than expected?

random-variables approximation pi hypothesis-testing

Are elements of a sample i.i.d. realizations of the same random variable or realizations of different i.i.d. random variables?

probability probability-theory statistics random-variables

Condition such that $ \sum_{n \geq 1} a_n^2 X_n^2 = \infty$ for iid Gaussian $X_n$

sequences-and-series random-variables gaussian chi-squared

Expected maximum of sub-Gaussian

probability probability-theory random-variables gauss-sums

What does orthogonal random variables mean?

random-variables orthonormal

Proof of $E(X)=a$ when $a$ is a point of symmetry

probability statistics random-variables

Hard problem to show almost sure boundedness

probability-theory statistics random-variables asymptotics statistical-inference

Determining the CDF of an absolutely continuous random vector, given its density.

probability probability-theory solution-verification random-variables cumulative-distribution-functions

Weak convergence of random variables

probability-theory random-variables weak-convergence

Examples of pairewise independent but not independent continuous random variables

probability-theory random-variables examples-counterexamples independence

Chebyshev's inequality to find minimum

probability probability-distributions random-variables expected-value variance

Proof of Hoeffding's Covariance Identity

probability probability-theory random-variables covariance

Defining joint distribution of two uniform variables where one is bounded by the other

probability-distributions random-variables problem-solving uniform-distribution marginal-distribution

Creating random variables whose pairwise differences are uniformly distributed

probability probability-theory random-variables uniform-distribution

Almost sure convergence and lim sup

probability-theory measure-theory convergence-divergence random-variables limsup-and-liminf

Sum of $\{n\sqrt{2}\}$

summation random-variables asymptotics irrational-numbers fractional-part

Bernstein inequality

probability inequality random-variables independence

Difference between two independent binomial random variables with equal success probability

probability statistics random-variables

Density of a linear transformation of an inverse gaussian variable

random-variables linear-transformations density-function