Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions

İlhan Usta

Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions

Abstract

In this study, based on progressive type-II censored data, Bayes estimators of the unknown parameter of the Topp-Leone distribution are derived by using informative and non-informative, priors under square error (symmetric), and linex, general entropy, and precautionary (asymmetric) loss functions. The Bayes estimators cannot be obtained in closed-forms, for this reason, Lindley’s approximation method is used to compute the approximate estimates. The asymptotic confidence and the highest posterior density credible intervals for the unknown parameter are obtained. The performances of the proposed Bayes estimators are compared with the corresponding maximum likelihood estimator for different sample sizes in terms of average estimate and mean squared error through an extensive simulation study. Finally, a real data set is provided to illustrate the results.

Keywords

References

The article references can be accessed from the .pdf file.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

İlhan Usta ^* This is me
0000-0001-5576-2027
Türkiye

Publication Date

March 25, 2022

Submission Date

December 31, 2020

Acceptance Date

May 9, 2021

Published in Issue

Year 2022 Volume: 40 Number: 1

IZ

https://izlik.org/JA38SU85ZT

Cite

RIS / Bibtex

APA

Usta, İ. (2022). Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions. Sigma Journal of Engineering and Natural Sciences, 40(1), 9-26. https://izlik.org/JA38SU85ZT

AMA

1.Usta İ. Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions. SIGMA. 2022;40(1):9-26. https://izlik.org/JA38SU85ZT

Chicago

Usta, İlhan. 2022. “Bayesian Estimation for Topp-Leone Distribution Using Progressively Censored Data and Asymmetric Loss Functions”. Sigma Journal of Engineering and Natural Sciences 40 (1): 9-26. https://izlik.org/JA38SU85ZT.

EndNote

Usta İ (March 1, 2022) Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions. Sigma Journal of Engineering and Natural Sciences 40 1 9–26.

IEEE

[1]İ. Usta, “Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions”, SIGMA, vol. 40, no. 1, pp. 9–26, Mar. 2022, [Online]. Available: https://izlik.org/JA38SU85ZT

ISNAD

Usta, İlhan. “Bayesian Estimation for Topp-Leone Distribution Using Progressively Censored Data and Asymmetric Loss Functions”. Sigma Journal of Engineering and Natural Sciences 40/1 (March 1, 2022): 9-26. https://izlik.org/JA38SU85ZT.

JAMA

1.Usta İ. Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions. SIGMA. 2022;40:9–26.

MLA

Usta, İlhan. “Bayesian Estimation for Topp-Leone Distribution Using Progressively Censored Data and Asymmetric Loss Functions”. Sigma Journal of Engineering and Natural Sciences, vol. 40, no. 1, Mar. 2022, pp. 9-26, https://izlik.org/JA38SU85ZT.

Vancouver

1.İlhan Usta. Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions. SIGMA [Internet]. 2022 Mar. 1;40(1):9-26. Available from: https://izlik.org/JA38SU85ZT