Statistical analysis of Rayleigh competing risks model based on partially step stress Type-II censoring samples
Abdullah M. Almarashi
- Statistic Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
- 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.
- Mathematics department, Faculty of Science, Sohag University, Sohag, Egypt.
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
- Competing risk model
- accelerate life test
- Rayleigh distribution
- maximum likelihood estimations
- bootstrap confidence intervals
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