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

Anderson-Darling statistic, Cramér-von mises, Left and right censoring, Kolmogorov-Smirnov statistics, Modified maximum likelihood estimation.

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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

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

AMA

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

Chicago

Sert, Sümeyra, and Coşkun Kuş. 2025. “Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring”. Cumhuriyet Science Journal 46 (1): 179-84. https://doi.org/10.17776/csj.1460135.

EndNote

Sert S, Kuş C (March 1, 2025) Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring. Cumhuriyet Science Journal 46 1 179–184.

IEEE

[1]S. Sert and C. Kuş, “Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring”, CSJ, vol. 46, no. 1, pp. 179–184, Mar. 2025, doi: 10.17776/csj.1460135.

ISNAD

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

JAMA

1.Sert S, Kuş C. Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring. CSJ. 2025;46:179–184.

MLA

Sert, Sümeyra, and Coşkun Kuş. “Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring”. Cumhuriyet Science Journal, vol. 46, no. 1, Mar. 2025, pp. 179-84, doi:10.17776/csj.1460135.

Vancouver

1.Sümeyra Sert, Coşkun Kuş. Point Estimation for the Inverse Rayleigh Distribution under Type-II Left and Right Censoring. CSJ. 2025 Mar. 1;46(1):179-84. doi:10.17776/csj.1460135

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