RELIABILITY FOR BETA MODELS
RELIABILITY FOR BETA MODELS
复制标题
测试版模型的可靠性
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
N. M. Yanev
中科院分区：
文献类型：
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作者：
S. Nadarajah;N. M. Yanev
在应力-强度模型领域，当X1和X2是属于同一单变量分布族的独立随机变量时，关于可靠性R = Pr（X2 < X1）的估计已经做了大量的工作。R = Pr（X_2 <X_1）的代数形式已为大多数著名的分布（包括正态分布、均匀分布、指数分布、伽玛分布、威布尔分布和帕累托分布）计算出来。然而，仍然有许多其他分布的R的形式是未知的.我们已经确定了至少30个分布，而R没有已知的形式。在本文中，我们考虑了其中的一些分布，并推导出相应的形式的可靠性R。计算涉及到各种特殊函数的使用。
In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X2 < X1) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr(X2 < X1) has been worked out for the majority of the well-known distributions in- cluding Normal, uniform, exponential, gamma, weibull and pareto. How- ever, there are still many other distributions for which the form of R is not known. We have identified at least some 30 distributions with no known form for R. In this paper we consider some of these distributions and derive the corresponding forms for the reliability R. The calculations involve the use of various special functions.