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

Author:

Sultan Khalaf S.1ORCID,AL-Shamari Nashmiah R.2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

2. Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference41 articles.

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4. L-Moments: Analysis and estimation of distributions using linear combinations of order statistics;Hosking;J. R. Stat. Soc. Ser. B Methodol.,1990

5. Moments or L moments? An example comparing two measures of distributional shape;Hosking;Am. Stat.,1992

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