The Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses

Author:

Eghwerido Joseph Thomas1,Agu Ikechukwu Friday2

Affiliation:

1. Department of Statistics, Federal University of Petroleum Resources , Effurun , Delta State , Nigeria

2. Department of Statistics, University of Calabar , Calabar , Cross River State , NIGERIA

Abstract

ABSTRACT The generalization of the family of distributions that could provide a simple, and efficient algorithm for parameter estimation and study of the behavior of datasets from various fields has received significant interest. Such a model has enormous advantages, such as its flexible nature, and the regression form can easily be derived. In the literature, various generalized families of distributions have been introduced. Despite the merits of these distributions, they still have some limitations due to many parameters in the model. Thus, the estimation of parameters often becomes cumbersome. Therefore, this study introduced the alpha power Muth or Teissier-G family of continuous distributions with well-defined parameters, and obtained the joint progressive type-II censoring scheme and their reliability measures. Furthermore, we obtained the global and local influences of the APTG model. We used real-life and simulated data to evaluate the numerical applications of the introduced model. The results show that the alpha power Muth or Teissier-G family of distributions gave the best fits to both datasets than some existing models.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A weighted Gompertz-G family of distributions for reliability and lifetime data analysis;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-11-15

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