Some Axioms and Identities of L-Moments from Logistic Distribution with Generalizations

Abstract

In this paper, we derive the L-moments for some distributions, such as logistic, generalized logistic, doubly truncated logistic, and doubly truncated generalized logistic distributions. We also establish some new axioms and identities, including recurrence relations satisfied by the L-moment from the underlying derivations. In addition, we establish some new general recurrence relations satisfied by the L-moment from any distribution.

Keywords

• order statistics
• L-moments
• logistic distribution
• generalized logistic distribution