Record data from Kies distribution and related statistical inferences

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

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VOLUME 22 , ISSUE 4 (December 2021) > List of articles

Record data from Kies distribution and related statistical inferences

Nesreen M. Al-Olaimat * / Husam A. Bayoud * / Mohammad Z. Raqab *

Keywords : Bayesian estimates, Kies distribution, maximum likelihood estimation, records

Citation Information : Statistics in Transition New Series. Volume 22, Issue 4, Pages 153-170, DOI: https://doi.org/10.21307/stattrans-2021-043

License : (CC BY-NC-ND 4.0)

Received Date : 07-December-2020 / Accepted: 30-April-2021 / Published Online: 08-December-2021

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ABSTRACT

The Kies probability model was proposed as an alternative to the extended Weibull models as it provides a more efficient fit to some real-life data sets in comparison to the aforementioned models. The paper proposes classical and Bayesian inferences for the Kies distribution based on records. Maximum likelihood estimates are studied jointly with asymptotic and bootstrap confidence intervals. Moreover, Bayes estimates, along with credible intervals are discussed assuming squared and LINEX loss functions. The proposed estimation methods have been investigated and compared via simulation studies. A real data set has been analysed for illustrative purposes.

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