On the Estimation of the Reliability Characteristics of a Weighted Generalized Positive Exponential Family of Distributions
Keywords:
Monte Carlo simulation, MLE, point estimation, UMVUE, weighted exponentialAbstract
A weighted generalization of positive exponential family of distributions is taken into consideration and its properties are studied. Considering two measures of reliability, namely and
, their Uniformly minimum variance unbiased (UMVU) estimators, Maximum Likelihood (ML) estimators and Method of Moment (MM) estimators are developed and the performance of the estimators are investigated using Monte Carlo Simulation. We investigate two empirical data sets to illustrate the proposed approach.
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