Parameter and Reliability Estimation for the Rayleigh Distribution under Improved Adaptive Type-II Progressive Censoring Scheme with Binomial Removals

Hanefi Gezer; İlhan Usta

doi:10.17776/csj.1728252

Parameter and Reliability Estimation for the Rayleigh Distribution under Improved Adaptive Type-II Progressive Censoring Scheme with Binomial Removals

Abstract

In lifetime and reliability analyses, the Rayleigh distribution is extensively employed to model components or systems characterized by an increasing failure rate. On the other hand, in recent years, the improved adaptive Type-II progressive censoring scheme (IAT-II PCS) has gained considerable attention for its ability to ensure that the testing process concludes within a predetermined time. However, in many real-world applications, the number of units removed at each failure time cannot be predetermined precisely, which renders randomly determined removals a more realistic modeling assumption. Motivated by these considerations, this study focuses on estimating the scale parameter and reliability characteristics of the Rayleigh distribution under the IAT-II PCS with random removals. For this purpose, the maximum likelihood (ML) estimators are used alongside the Bayesian estimators derived under the squared error loss function. An extensive Monte Carlo simulation study is carried out to assess the performance of these estimators. Furthermore, a real data application is included to demonstrate the practical relevance of the proposed approaches. The results indicate that Bayesian estimators based on informative prior achieve better performance in terms of mean square error under the IAT-II PCS with binomial random removals

Keywords

References

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Details

Primary Language

English

Subjects

Computational Statistics

Journal Section

Research Article

Authors

Hanefi Gezer ^*
0000-0002-8187-0299
Türkiye

İlhan Usta
0000-0001-5576-2027
Türkiye

Publication Date

February 27, 2026

Submission Date

June 26, 2025

Acceptance Date

December 4, 2025

Published in Issue

Year 2026 Volume: 47 Number: 1

DOI

https://doi.org/10.17776/csj.1728252

IZ

https://izlik.org/JA38ZJ95EF

Cite

RIS / Bibtex

APA

Gezer, H., & Usta, İ. (2026). Parameter and Reliability Estimation for the Rayleigh Distribution under Improved Adaptive Type-II Progressive Censoring Scheme with Binomial Removals. Cumhuriyet Science Journal, 47(1), 182-193. https://doi.org/10.17776/csj.1728252