On a generalization of the logistic distribution

Abstract

Expressions for the moment generating functions, cumulants and coefficients of kurtosis of a generalization of the logistic distribution are derived and used to show that any symmetric version of this distribution can be closely and simply approximated by a Student t distribution. Related approximation of the distribution of the logistic sample median is discussed. © 1980 Kluwer Academic Publishers.

Publication Title

Annals of the Institute of Statistical Mathematics

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