approximate the quantiles of a probability distribution based on its cumulants. It is named after E. A. Cornish and R. A. Fisher, who first described...

is π / 6 ≈ 1.2825. {\displaystyle \pi /{\sqrt {6}}\approx 1.2825.} The cumulants, for n > 1, are given by κ n = ( n − 1 ) ! ζ ( n ) . {\displaystyle \kappa...

noted that samples with identical and independent variates with a third cumulant had sample means that obeyed Pearson's relationship for large sample sizes...

power series define the cumulants, but because this is a quadratic polynomial in ⁠ t {\displaystyle t} ⁠, only the first two cumulants are nonzero, namely...

When λ is a positive integer, the modes are λ and λ − 1. All of the cumulants of the Poisson distribution are equal to the expected value λ. The n th...

A. (1937). "Moments and Cumulants in the Specification of Distributions". Revue de l'Institut International de Statistique. 5 (4): 307–320. doi:10.2307/1400905...