指数分布无失效数据的统计分析

Statistical Analysis About Zero-failure Date of Exponential Distribution

本文讨论了指数分布的无失效数据(t_i,n_i),利用指数分布的凸性和其特性一无记忆性,给出了可靠度的多层Bayes估计,进而得到参数θ的加权最小二乘估计.

Using the convex and the memoryless property of exponential distribution, the paper gives the hierarchical Bayesian estimation of the reliability of zero-failure data（ti, ni） of exponential distribution, so that the weighted least squares estimation of parameter θ is obtained.