Journal Published Online: 09 December 2019
Volume 48, Issue 1

A New Class with Decreasing Failure Rate Based on Countable Mixture and Its Application to Censored Data

CODEN: JTEVAB

Abstract

A three-parameter generalized Poisson Lomax distribution, which contains two-parameter Lomax distribution as a special case, has to be obtained by a countable mixture with Poisson distribution. The mathematical attributes, as behavior of density and failure rate functions, compounding, moments, moment generating functions, and mean residual life, of this model and the strength-stress reliability function R=P(X>Y) are studied. Additionally, the maximum likelihood estimation of the new model parameters is derived. Lastly, the practical performance of the new model is demonstrated using censored and complete data sets with simulation study.

Author Information

Mohammed, B. I.
Department of Mathematics, Faculty of Science, Jeddah University, Jeddah, Saudi Arabia Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
Abu-Youssef, S. E.
Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
Sief, M. G.
Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt
Pages: 16
Price: $25.00
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Stock #: JTE20190376
ISSN: 0090-3973
DOI: 10.1520/JTE20190376