A new extension of inverse length biased exponential model with statistical inference under joint censored samples and application

Mahmoud M. Abdelwahab; Ibrahim Elbatal; Mohammed Elgarhy; Anis Ben Ghorbal; H.E. Semary; Ehab M. Almetwally

Alexandria Engineering Journal (Jul 2024)

A new extension of inverse length biased exponential model with statistical inference under joint censored samples and application

Mahmoud M. Abdelwahab,
Ibrahim Elbatal,
Mohammed Elgarhy,
Anis Ben Ghorbal,
H.E. Semary,
Ehab M. Almetwally

Affiliations

Mahmoud M. Abdelwahab: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia; Department of Basic, Sciences Higher Institute of Administrative Sciences, Osim, Cairo 12961, Egypt
Ibrahim Elbatal: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Mohammed Elgarhy: Department of Basic Sciences, Higher Institute of Administrative Sciences, Belbeis, AlSharkia, Egypt; Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62521, Egypt
Anis Ben Ghorbal: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
H.E. Semary: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia; Statistics and Insurance Department, Faculty of Commerce, Zagazig University, Zagazig 44519, Egypt
Ehab M. Almetwally: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia; Faculty of Business Administration, Delta University for Science and Technology, Gamasa 11152, Egypt; Corresponding author.

Journal volume & issue: Vol. 99
pp. 377 – 393

Abstract

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In this paper, we introduce a new two-parameter lifetime distribution based on the type II Topp-Leone-G family and the inverse length biased exponential distribution which is called the type II Topp-Leone inverse length biased exponential (TIITL-ILBE) distribution. Various statistical properties of the proposed distribution, including the ordinary moments, moment generating function, incomplete moments, conditional moments, vitality and mean residual life functions, moments of the residual and reversed residual lifetime functions and Rényi entropy are derived. The method of maximum likelihood for estimation and some simulation results for the model parameters of the TIITL-ILBE distribution under complete samples is investigated. Also, The methods of maximum likelihood and Bayesian for estimation and some simulation results for the model parameters of the TIITL-ILBE distribution under joint censored samples is investigated. The real life data set results utilizing that the proposed distribution exhibits greater flexibility and evaluated empirically under complete and joint censored data.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/alexandria-engineering-journal/

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