Weibull Model Allowing Nearly Instantaneous Failures
2007
A generalized Weibull model that allows instantaneous or early failures is modified so that the model can be
expressed as a mixture of the uniform distribution and the Weibull distribution. Properties
of the resulting distribution are derived; in particular, the probability density function,
survival function, and the hazard rate function are obtained. Some selected plots of these
functions are also presented. An R script was written to fit the model parameters. An
application of the modified model is illustrated.
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