Reliability estimation and parameter estimation for inverse Weibull distribution under different loss functions
Joint Authors
Source
Issue
Vol. 49, Issue 1 (31 Jan. 2022), pp.1-24, 24 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2022-01-31
Country of Publication
Kuwait
No. of Pages
24
Main Subjects
Abstract EN
In this paper, the classical and Bayesian estimators of the unknown parameters and reliability function of the inverse Weibull distribution are considered.
The maximum likelihood estimators (MLEs) and modified maximum likelihood estimators (MMLEs) are used in the classical parameter estimation.
Bayesian estimators of the parameters are obtained by using symmetric and asymmetric loss functions under non-prior and prior distributions.
Bayesian computation are derived by using Lindley approximation and Markov chain Monte Carlo (MCMC) methods.
The asymptotic confidence intervals are constructed based on the maximum likelihood estimators.
The Bayes credible intervals of the parameters are obtained by using MCMC method.
Furthermore, the performances of these estimation methods are compared with respect to their biases and mean square errors through a simulation study.
It is seen that the Bayes estimators perform better than the classical estimators.
Finally, two real life examples are given for illustrative purposes.
American Psychological Association (APA)
Yılmaz, Asuman& Kara, Mahmut. 2022. Reliability estimation and parameter estimation for inverse Weibull distribution under different loss functions. Kuwait Journal of Science،Vol. 49, no. 1, pp.1-24.
https://search.emarefa.net/detail/BIM-1500114
Modern Language Association (MLA)
Yılmaz, Asuman& Kara, Mahmut. Reliability estimation and parameter estimation for inverse Weibull distribution under different loss functions. Kuwait Journal of Science Vol. 49, no. 1 (Jan. 2022), pp.1-24.
https://search.emarefa.net/detail/BIM-1500114
American Medical Association (AMA)
Yılmaz, Asuman& Kara, Mahmut. Reliability estimation and parameter estimation for inverse Weibull distribution under different loss functions. Kuwait Journal of Science. 2022. Vol. 49, no. 1, pp.1-24.
https://search.emarefa.net/detail/BIM-1500114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 21-24
Record ID
BIM-1500114