Statistical analysis of Rayleigh competing risks model based on partially step stress Type-II censoring samples

Volume 12, Issue 4, pp 230--238 http://dx.doi.org/10.22436/jnsa.012.04.04

Publication Date: December 05, 2018 Submission Date: August 29, 2018 Revision Date: October 05, 2018 Accteptance Date: October 15, 2018

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Authors

Abdullah M. Almarashi - Statistic Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia. Ali Algarni - Statistic Department, Faculty of Science, King Abdulaziz University, Jaddeh, Saudi Arabia. G. A. Abd-Elmougod - Mathematics department, Faculty of Science, Taif University, Taif, Saudi Arabia. Sayed Abdel-Khalek - Mathematics department, Faculty of Science, Sohag University, Sohag, Egypt.

Abstract

This paper, discusses the problem of partially step-stress ALTs (accelerated life tests) form Rayleigh competing risks model. Type-II censored scheme is used in obtaining the observed censoring data. The method of MLE (maximum likelihood estimation) of the model parameters for point and approximate confidence intervals are considered. Also, bootstrap confidence intervals of model parameters are discussed. Simulation study is adopted to assess and compare our proposed method. Finally, some comment to illustrate the behavior of numerical results.

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Keywords

• Competing risk model
• accelerate life test
• Rayleigh distribution
• maximum likelihood estimations
• bootstrap confidence intervals

MSC

•  60E05
•  62E10
•  62N05

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