Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions

Esin Köksal Babacan

Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions

Abstract

In this paper, the Bayesian estimators for the Inverse Weibull Distribution (IWD) scale param-eter are derived when the shape parameter of distribution is known. The Bayesian estimators for the parameter are obtained by using the Gamma prior under the different types of loss functions such as square error loss function (Self), Entropy loss function (Elf), Precautionary loss function (Plf), Linear exponential loss function (Linexlf) and nonlinear exponential loss function (Nlinexlf). A classical maximum likelihood estimator (mle) for the parameter is also derived. To compare the efficiency of the parameter estimation methods, a simulation study is carried out. The comparison is based on mean square error.

Keywords

References

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Details

Primary Language

English

Subjects

Biochemistry and Cell Biology (Other)

Journal Section

Research Article

Authors

Esin Köksal Babacan
0000-0002-9649-5276
Türkiye

Publication Date

August 1, 2024

Submission Date

November 29, 2022

Acceptance Date

June 26, 2023

Published in Issue

Year 2024 Volume: 42 Number: 4

IZ

https://izlik.org/JA93KJ68UA

Cite

RIS / Bibtex

APA

Köksal Babacan, E. (2024). Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions. Sigma Journal of Engineering and Natural Sciences, 42(4), 1108-1115. https://izlik.org/JA93KJ68UA

AMA

1.Köksal Babacan E. Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions. SIGMA. 2024;42(4):1108-1115. https://izlik.org/JA93KJ68UA

Chicago

Köksal Babacan, Esin. 2024. “Bayesian Estimation of Inverse Weibull Distribution Scale Parameter under the Different Loss Functions”. Sigma Journal of Engineering and Natural Sciences 42 (4): 1108-15. https://izlik.org/JA93KJ68UA.

EndNote

Köksal Babacan E (August 1, 2024) Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions. Sigma Journal of Engineering and Natural Sciences 42 4 1108–1115.

IEEE

[1]E. Köksal Babacan, “Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions”, SIGMA, vol. 42, no. 4, pp. 1108–1115, Aug. 2024, [Online]. Available: https://izlik.org/JA93KJ68UA

ISNAD

Köksal Babacan, Esin. “Bayesian Estimation of Inverse Weibull Distribution Scale Parameter under the Different Loss Functions”. Sigma Journal of Engineering and Natural Sciences 42/4 (August 1, 2024): 1108-1115. https://izlik.org/JA93KJ68UA.

JAMA

1.Köksal Babacan E. Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions. SIGMA. 2024;42:1108–1115.

MLA

Köksal Babacan, Esin. “Bayesian Estimation of Inverse Weibull Distribution Scale Parameter under the Different Loss Functions”. Sigma Journal of Engineering and Natural Sciences, vol. 42, no. 4, Aug. 2024, pp. 1108-15, https://izlik.org/JA93KJ68UA.

Vancouver

1.Esin Köksal Babacan. Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions. SIGMA [Internet]. 2024 Aug. 1;42(4):1108-15. Available from: https://izlik.org/JA93KJ68UA