Hsu–Robbins–Erdős theorem (source code)

= Hsu–Robbins–Erdős theorem
{wiki=Hsu–Robbins–Erdős_theorem}

The Hsu–Robbins–Erdős theorem is a result in probability theory that deals with the almost sure convergence of sums of random variables. Specifically, it is concerned with sums of independent random variables that have finite means but possibly infinite variances.