Bayesian Estimation and Hierarchical Bayesian Estimation of Zero-failure Data
Han Ming
Abstract
Han Ming
Abstract
The zero_failure data research is a new field in the recent years, but it is required urgently in practical projects, so the work has more theory and practical values. In this paper, for zero_failure data (t i,n i) at moment t i , if the prior distribution of the failure probability p i=p{Tt i} is quasi_exponential distribution, the author gives the p i Bayesian estimation and hierarchical Bayesian estimation and the reliability under zero_failure date condition is also obtained.
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The zero_failure data research is a new field in the recent years, but it is required urgently in practical projects, so the work has more theory and practical values. In this paper, for zero_failure data (t i,n i) at moment t i , if the prior distribution of the failure probability p i=p{Tt i} is quasi_exponential distribution, the author gives the p i Bayesian estimation and hierarchical Bayesian estimation and the reliability under zero_failure date condition is also obtained.
Key concepts: Bayes estimator, Zero (linguistics), Mathematics, Bayesian probability, Estimation, Moment (physics), Statistics, Reliability (semiconductor)