E-Bayesian estimations for the cumulative hazard rate and mean residual life based on exponential distribution and record data

摘要

Estimation of lifetime parameters such as reliability and hazard rate is necessary in many systems. Each method of estimation suffers from its own problems such as complexity of computations, high risk and etc. Toward this end, this study employed a new method, E-Bayesian, for estimating the parameters based on exponential distribution and record data. Furthermore, the asymptotic behaviours of E-Bayesian estimations and relations among them have been investigated. Finally, a comparison among the E-Bayesian estimations and older methods are made, using a real data and the Monte Carlo simulation. The computations show that the new method is more efficient than previous methods and is also easy to operate.