Estimation of Reliability of a Two Exponential Component Series System
Estimation of Reliability of a Two Exponential Component Series System
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DOI：
10.1080/00401706.1970.10488735
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发表时间：
1970-11
期刊：
影响因子：
2.5
通讯作者：
S. Varde
中科院分区：
文献类型：
--
作者：
S. Varde
本文利用截尾样本，从一个具有两个不相同组件的系统中导出了可靠性的最大似然和最小方差的无偏估计。假设各组分分别具有参数为（α1, θ1）和（α2, θ2）的双参数指数寿命分布。得到了所有四种可能情况下的估计，即α1 = α2, θ1 = θ2；α1 = α2, θ1≠θ2；α1≠α2, θ1 = θ2；（α1≠α2, θ1≠θ2）给出了一个数值例子来说明这些估计。
This paper derives maximum likelihood and minimum variance unbiased estimates of reliability that can be expected from a system with two non-identical components in series, using censored samples. The components are assumed to possess a twoparameter exponential life distribution with parameters (α1, θ1) and (α2, θ2) respectively. The estimates are obtained in all the four possible cases, namely, α1 = α2, θ1 = θ2; α1 = α2, θ1 ≠ θ2; α1 ≠ α2, θ1 = θ2; and (α1 ≠ α2, θ1 ≠ θ2. A numerical example is given to illustrate the estimates.