The M-Bayesian Credible Limits of The Reliability And Its Applications

摘要

This article introduces a new method, named MBayesian credible limit method, to estimate reliability derived from Binomial distribution, in the case zero-failure data. Firstly, the definition of one-sided and two-sided M-Bayesian credible limits are provided, moreover, formulas of one-sided and two-sided M-Bayesian credible limits are provided. Secondly, properties of one-sided and two-sided MBayesian credible limits are discussed, will see that the M-Bayesian credible limit method is superior to the corresponding classical confidence limit method. Finally, the new estimation method is applied to a numerical example. Through the example the efficiency and easiness of operation of this method are commended.