THERMAL SCIENCE

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Hai-Jing Ma

,

Zai-Zai Yan

DISCRETE WEIBULL-RAYLEIGH DISTRIBUTION PROPERTIES AND PARAMETER ESTIMATIONS

ABSTRACT
In this paper, a new distribution is introduced based on a continuous Weibull-Rayleigh distribution, that is a new three-parameter lifetime model called as the discrete Weibull-Rayleigh distribution. It is a distribution allowing for a bathtub-shaped hazard rate function. Its mathematical properties are discussed, and the estimation of model parameters is compared by the maximum likelihood and the least square methods. An actual data set of thermal aging is fitted to the new model, which shows the superiority of the proposed distribution.
KEYWORDS
Weibull-Rayleigh distribution, Maximum likelihood estimation, discrete Weibull-Rayleigh distribution bathtub-shaped failure rate, the least square estimation
PAPER SUBMITTED: 2020-09-01
PAPER REVISED: 2021-09-01
PAPER ACCEPTED: 2021-09-01
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203627M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2627 - 2636]
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Discrete Weibull-Rayleigh distribution properties and parameter estimations

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence