Analysis of Progressive First-Failure-Censoring for Non-normal Model Using Competing Risks Data
American Journal of Theoretical and Applied Statistics
Volume 4, Issue 6, November 2015, Pages: 610-618
Received: Sep. 8, 2015; Accepted: Oct. 7, 2015; Published: Dec. 14, 2015
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Authors
A. A. Modhesh, Department of Mathematics, Faculty of Science, Taiz University, Taiz, Yemen
G. A. Abd-Elmougod, Department of Mathematics, Faculty of Science, Taif University, KSA
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Abstract
Competing risks data usually arises in studies in which the death or failure of an individual or an item may be classified into one of T≥2 mutually exclusive causes. In this paper, we will study the competing risks model when the data is progressively first-failure-censored. Based on this type of censoring, we derive the maximum likelihood estimators (MLE's) for the unknown parameters. Approximate confidence intervals and two bootstrap confidence intervals are also proposed. The results in the cases of first-failure censoring, progressive Type II censoring, Type II censoring and complete sample are special cases. A real data set has been analyzed for illustrative purposes. Different methods have been compared using Monte Carlo simulations.
Keywords
Burr XII Distribution, Progressive First-Failure-Censoring, Competing Risks, Maximum Likelihood Method, Bootstrap
To cite this article
A. A. Modhesh, G. A. Abd-Elmougod, Analysis of Progressive First-Failure-Censoring for Non-normal Model Using Competing Risks Data, American Journal of Theoretical and Applied Statistics. Vol. 4, No. 6, 2015, pp. 610-618. doi: 10.11648/j.ajtas.20150406.33
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