Geodesic
Statistical analysis of Rayleigh competing risks model based on partially step stress Type-II censoring samples
Almarashi, Abdullah M.1 ; Algarni, Ali 2 ; Abd-Elmougod, G. A. 3 ; Abdel-Khalek, Sayed 4
1 Statistic Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
2 Statistic Department, Faculty of Science, King Abdulaziz University, Jaddeh, Saudi Arabia
3 Mathematics department, Faculty of Science, Taif University, Taif, Saudi Arabia
4 Mathematics department, Faculty of Science, Sohag University, Sohag, Egypt
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 230-238.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.012.04.04
Classification : 60E05, 62E10, 62N05
Keywords: Competing risk model, accelerate life test, Rayleigh distribution, maximum likelihood estimations, bootstrap confidence intervals

Almarashi, Abdullah M. 1 ; Algarni, Ali  2 ; Abd-Elmougod, G. A.  3 ; Abdel-Khalek, Sayed  4

1 Statistic Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
2 Statistic Department, Faculty of Science, King Abdulaziz University, Jaddeh, Saudi Arabia
3 Mathematics department, Faculty of Science, Taif University, Taif, Saudi Arabia
4 Mathematics department, Faculty of Science, Sohag University, Sohag, Egypt 
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     title = {Statistical analysis of {Rayleigh} competing risks model based on partially step stress {Type-II} censoring samples},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {230-238},
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Almarashi, Abdullah M.; Algarni, Ali ; Abd-Elmougod, G. A. ; Abdel-Khalek, Sayed . Statistical analysis of Rayleigh competing risks model based on partially step stress Type-II censoring samples. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 230-238. doi : 10.22436/jnsa.012.04.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.04.04/

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