On Bivariate Signatures for Systems with Independent Modules
On Bivariate Signatures for Systems with Independent Modules
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DOI：
10.1007/978-1-4614-6892-9_7
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Gaofeng Da;Taizhong Hu
中科院分区：
文献类型：
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作者：
Gaofeng Da;Taizhong Hu
格茨巴赫等人。 (Journal of Applied Probability, 49, 416–429, 2012) 提出了三态系统的二元签名概念。在本文中，我们首先给出了组件寿命阶次统计意义上的双变量签名的等效定义，并建立了三态系统对偶的双变量签名计算公式。提出了一种基于双变量尾部签名的组合意义来计算双变量签名的有用方法。通过这种方法，我们推导出计算某些由独立模块组成的系统的双变量签名的公式。还提供了一些例子来说明我们的主要结果。
Gertsbakh et al. (Journal of Applied Probability, 49, 416–429, 2012) proposed the concept of bivariate signature for a 3-state system. In this paper, we first give an equivalent definition for the bivariate signature in the sense of order statistics of component lifetimes and establish the formula for computing the bivariate signature of the dual of a 3-state system. A useful method for computing the bivariate signature based on the combinatorial meaning of the bivariate tail signature is presented. By this method, we derive formulas for computing the bivariate signatures of some systems consisting of independent modules. Some examples are also presented to illustrate our main results.