Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring

Sümeyra Sert; Coşkun Kuş

doi:10.17776/csj.1460135

EN

Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring

Abstract

The Inverse Rayleigh distribution is frequently utilized in reliability and survival analysis. This study focuses on deriving modified maximum likelihood estimators for the scale parameter of the Inverse Rayleigh distribution under Type-II left and right censoring. The efficacy of the proposed estimators is assessed through comparison with Anderson-Darling, Kolmogorov-Smirnov, and Cramér-von Mises type estimators via Monte Carlo simulations across various censoring schemes and parameter configurations. Additionally, a numerical example is presented to illustrate the proposed methodology. The simulation study demonstrates that the proposed estimators outperform the others. Additionally, given their explicit nature, the proposed estimators can serve as initial values for obtaining the maximum likelihood estimator.

Keywords

References

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Details

Primary Language

English

Subjects

Statistical Analysis , Statistical Theory

Journal Section

Research Article

Authors

Sümeyra Sert ^*
0000-0002-4647-1583
Türkiye

Coşkun Kuş
0000-0002-7176-0176
Türkiye

Publication Date

March 25, 2025

Submission Date

March 27, 2024

Acceptance Date

February 4, 2025

Published in Issue

Year 2025 Volume: 46 Number: 1

DOI

https://doi.org/10.17776/csj.1460135

IZ

https://izlik.org/JA95HA45JX

Cite

RIS / Bibtex

APA

Sert, S., & Kuş, C. (2025). Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring. Cumhuriyet Science Journal, 46(1), 179-184. https://doi.org/10.17776/csj.1460135

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Parametric estimation of PCI C * pm under doubly type II censored sampling scheme with application to electronics industry data

Journal of Statistical Computation and Simulation

https://doi.org/10.1080/00949655.2026.2615817

Öz

Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Statistical inference and applications of the generalized inverted Xgamma exponential distribution using doubly type-II censored data

Parametric estimation of PCI C * pm under doubly type II censored sampling scheme with application to electronics industry data