# Quantitative convergence for the law of large numbers

Suppose we have $X_i$ positive random variables iid, with all moments finite.

Do we know how fast $(X_1 + X_2 + \cdots + X_n)/n$ will go to $E(X_1)$ a.s or in $L^2$ ? Any reference about the convergence rate in the law of large numbers (even not optimal) of such random variables is very welcome.