Inaccuracy and information measures based on cumulative residual entropy are quite useful and have attracted considerable attention in many fields including reliability theory. Using a point process martingale approach and a compensator version of Kumar and Taneja's generalized inaccuracy measure of two nonnegative continuous random variables, we define here an inaccuracy measure between two coherent systems when the lifetimes of their common components are observed. We then extend the results to the situation when the components in the systems are subject to failure according to a double stochastic Poisson process.

中文翻译：

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分量级相干系统和非齐次泊松过程下的累积残差测量

基于累积残差熵的不准确性和信息度量非常有用，并在包括可靠性理论在内的许多领域引起了相当大的关注。使用点过程鞅方法和 Kumar 和 Taneja 的两个非负连续随机变量的广义不准确度量的补偿器版本，我们在这里定义了两个相干系统之间的不准确度量，当它们的共同组件的寿命被观察时。然后，我们将结果扩展到系统中的组件根据双随机泊松过程发生故障的情况。