Maximum Likelihood Estimation in a Mininum-Type Model with Exponential and Weibull Failure Modes
指数与威布尔失效模式下最小值模型的最大似然估计
The existence and some properties of maximum likelihood estimators (MLE's) are studied for a minimum-type distribution function corresponding to a minimum of two independent random variables having exponential and Weibull distributions. It is shown that if all three parameters are unknown, then there is a path in the parameter space along which the likelihood function (LF) tends to infinity. It is also proved that if the Weibull shape parameter is known, then the LF is…