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This document defines cumulants and explains their relationship to moments for both univariate and multivariate distributions. Cumulants are the coefficients in the Taylor expansion of the cumulant generating function, which is the natural logarithm of the moment generating function. For a univariate distribution, the first cumulant is the mean, the second is the variance, and higher cumulants measure higher-order moments. Cumulants simplify when distributions are transformed or combined, and characterize l

Author

Tanmaya Tapaswini Tripathy

Language

EN