左截尾双参数指数分布的可靠性评估(Ⅰ)

Reliability Assessment of Left Truncated Two-Parameter Exponential Distribution(Ⅰ)

对左截尾双参数指数分布,给出了其分布参数(位置参数μ,尺度参数θ)、可靠性测度(失效率λ,平均失效前时间(MTTF)M,可靠寿命tR,可靠度R(t) )的UMVUE、Bayes估计与经典精确限和Bayes精确可信限,还给出了MTTF高精度的经典近似限。最后用数值例说明了这些方法。

In this paper, the UMVUE,the Bayesian estimation and the exact classical limits, and the exact Bayesian credible limits of the distribution parameters(location parameter μ,scale parameter θ) and the reliability measures(failure rate λ,mean time to failure M ,reliability life t R ,reliability R(t) ),and the high precision approximate classical limits of MTTF M of the left truncated two parameter exponential distribution are presented. And these methods are illustrated.