THERMAL SCIENCE

International Scientific Journal

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Fatimah E. Almuhayfith

,

Afrah Al-Bossly

STATISTICAL INFERENCE OF TYPE-I HYBRID CENSORED INVERSE LOMAX SAMPLES

ABSTRACT
In this article, we adopted the classical and Bayesian approach to develop the problem of estimation and prediction of the inverse Lomax distribution under Type-I hybrid censored scheme. Firstly, we presented maximum likelihood estimators and Bayes estimators of the unknown parameters under consideration of squared error loss equation. In Bayesian approach, we used Markov chain Monte-Carlo method by applied importance sampling technique. Asymptotic confidence intervals and Bayes credible intervals are constructed. The estimators are tested by building sim­ulation study. Secondly, For given Type-I hybrid censoring sample Bayesian prediction of future order statistics are formulated (two-sample case). Finally, the numerical computations are adopted on a real data set for illustrating purpose.
KEYWORDS
inverse Lomax distribution, Type-I hybrid censoring scheme, Maximum likelihood estimation, Bayes estimation, Bayes prediction
PAPER SUBMITTED: 2022-10-01
PAPER REVISED: 2022-11-10
PAPER ACCEPTED: 2022-11-18
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI22S1339A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 1, PAGES [339 - 351]
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Statistical inference of type-I hybrid censored inverse Lomax samples

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence