STATISTICAL INFERENCE OF TYPE-I HYBRID CENSORED INVERSE LOMAX SAMPLES

Fatimah E. Almuhayfith, Afrah Al-Bossly

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)S339-S351
JournalThermal Science
Volume26
Issue numberSpecial Issue 1
DOIs
StatePublished - 2022

Keywords

  • Bayes estimation
  • Bayes prediction
  • Inverse lomax distribution
  • Maximum likelihood estimation
  • Type-i hybrid censoring scheme

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