UMVU Estimator of Reliability Function and Its Inverse Function Based on Exponential Distribution
Yan Jun Wu · Journal of Yantai University · 2006
In the reliability theory,reliability function and its inverse function are usually unknown and need to be estimated by using sample.For the population of exponential distribution,existence problem of uniformly minimum variance unbiased estimators of the reliability function and its inverse function are investigated.The uniformly minimum variance unbiased estimators of the reliability function and its inverse function for the exponential distribution are obtained by the theories of sufficient statistic and complete statistic.Furthermore,consistency of the estimators is discussed,and the uniformly minimum variance unbiased estimators of the reliability function and its inverse function are proved to be strong consistent.