A NOTE ON LEHMAN TYPE-2 TOP-LEONE TYPE-2 FRÉCHET DISTRIBUTION AND APPLICATION TO CANCER REMISSION TIMES DATA

Authors

  • Prof. Amina Grace Williams School of Engineering and Built Environment, University of Greater Manchester, Manchester, England, United Kingdom

DOI:

https://doi.org/10.5281/zenodo.17208423

Keywords:

moments, moment generating function, non-monotone, incomplete moments

Abstract

In this article we develop a new four-parameters model called the Lehman type II Top-Leone Fréchet (LT-2TLT-2F) distribution which exhibits non-monotone hazard rate. Many models such as Lehman type II Fréchet (LTIIF), Type II Top-Leone Fréchet (TIITLF), Generalized Exponentiated Fréchet (GEF), and Fréchet (F) are sub models. Some of its properties including moment, reliability, moment generating function, Incomplete moments, and hazard rate are investigated. The method of maximum likelihood is proposed to estimate the model parameters. Moreover, we give the advantage of the LT-2TLT-2F distribution by an application using two real datasets

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Published

2025-10-01

Issue

Vol. 13 No. 1 (2025)

Section

Articles