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A New Rayleigh Distribution: Properties and Estimation Based on Progressive Type-II Censored Data with an Application

Ali Algarni, Abdullah M. Almarashi*

Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

* Corresponding Authors: Abdullah M. Almarashi. Email: email,email

(This article belongs to the Special Issue: New Trends in Statistical Computing and Data Science)

Computer Modeling in Engineering & Sciences 2022, 130(1), 379-396. https://doi.org/10.32604/cmes.2022.017714

Abstract

In this paper, we propose a new extension of the traditional Rayleigh distribution called the modified Kies Rayleigh distribution. The new distribution contains one scale and one shape parameter and its hazard rate function can be increasing and bathtub-shaped. Some mathematical properties of the new distribution are derived including quantiles and moments. The parameters of modified Kies Rayleigh distribution are estimated based on progressively Type-II censored data. For this purpose, we consider two estimation methods, namely maximum likelihood and maximum product of spacing estimation methods. To compare the efficiency of the proposed estimators, a simulation study is carried out. To show the applicability of the new model as well as the estimation methods, one real data for failure times of software is analyzed. Based on the empirical parts, we can conclude that the proposed model can be considered as a good model in the field of life testing and reliability analysis compared with other competing models.

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APA Style
Algarni, A., Almarashi, A.M. (2022). A new rayleigh distribution: properties and estimation based on progressive type-ii censored data with an application. Computer Modeling in Engineering & Sciences, 130(1), 379-396. https://doi.org/10.32604/cmes.2022.017714
Vancouver Style
Algarni A, Almarashi AM. A new rayleigh distribution: properties and estimation based on progressive type-ii censored data with an application. Comput Model Eng Sci. 2022;130(1):379-396 https://doi.org/10.32604/cmes.2022.017714
IEEE Style
A. Algarni and A.M. Almarashi, "A New Rayleigh Distribution: Properties and Estimation Based on Progressive Type-II Censored Data with an Application," Comput. Model. Eng. Sci., vol. 130, no. 1, pp. 379-396. 2022. https://doi.org/10.32604/cmes.2022.017714



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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