Statistical Inference of a Competing Risks Model with Modified Weibull Distributions
نویسندگان
چکیده
Abstract Statistical inferences of the parameters included in a competing risks model are presented. It is assumed here that the causes of failures may occur at times that follow modified Weibull distributions. The case of Weibull distributions can be derived as special case of the problem studied in this paper. The maximum likelihood procedure is used to get the point estimations and asymptotic confidence intervals of the parameters. Two hypothesis are tested. The first is when the causes of failure follow exponential distributions against modified Weibull. The second is when the causes of failure follow Weibull distributions against modified Weibull. We used a set of real data to explain the theoretical results obtained.
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