A sufficient condition on the Lindeberg-Feller central limit theorem. Given random variates X_1, X_2, ..., let 〈X_i 〉 = 0, the variance σ_i^2 of X_i be finite, and variance of the distribution consisting of a sum of X_is S_n congruent X_1 + X_2 + ... + X_n be s_n^2 congruent sum_(i = 1)^n σ_i^2.

central limit theorem | Feller-Lévy condition