Bayesian and Non-Bayesian Estimation for The Parameter of Inverted Topp-Leone Distribution Based on Progressive Type I Censoring

  • Hiba Z. Muhammed
  • Essam Muhammed Faculty of graduate studies for Statistical Research, Cairo University, Egypt
DOI: https://doi.org/10.19139/soic-2310-5070-1768
Keywords: Inverted Topp-Leone Distribution, Bayesian Estimation, Highest Posterior Density Interval, Bootstrap Confidence Interval, Progressive Type I Censoring

Abstract

In this paper, Bayesian and non-Bayesian estimations of the shape parameter of the Inverted Topp-Leone distribution are studied under a progressive Type I censoring scheme. The maximum likelihood estimator (MLE) and Bayes estimator (BE) of the unknown parameter under the squared error loss (SEL) function are obtained. Three types of confidence intervals are discussed for the unknown parameter. A simulation study is performed to compare the performances of the proposed methods, and two numerical examples have been analyzed for illustrative purposes. 
Published
2024-06-04
How to Cite
Muhammed, H. Z., & Muhammed, E. (2024). Bayesian and Non-Bayesian Estimation for The Parameter of Inverted Topp-Leone Distribution Based on Progressive Type I Censoring. Statistics, Optimization & Information Computing, 12(4), 1184-1209. https://doi.org/10.19139/soic-2310-5070-1768
Issue
Vol 12 No 4 (2024)
Section
Research Articles
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