Record data from Kies distribution and related statistical inferences

• Authors: Nesreen M. Al-Olaimat , Husam A. Bayoud , Mohammad Z. Raqab

Abstracts

EN

The Kies probability model was proposed as an alternative to the extendedWeibull 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.

Keywords

EN

Bayesian estimates; Kies distribution; maximum likelihood estimation; records

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2021
• Volume: 22
• Issue: 4
• Pages: 153-170

Contributors

author

Nesreen M. Al-Olaimat

• Department of Mathematics, The University of Jordan, Amman 11942, Jordan

• https://orcid.org/0000000328623739

author

Husam A. Bayoud

• College of Sciences and Humanities, Fahad Bin Sultan University, Tabuk, Saudi Arabia

• https://orcid.org/0000000200667206

author

Mohammad Z. Raqab

• Department of Mathematics, The University of Jordan, Amman 11942, Jordan

• https://orcid.org/0000000230471466

Identifiers

DOI

10.21307/stattrans-2021-043

Biblioteka Nauki

1917056