Abstract

In reliability and life testing, when the exponentially distributed components are put in series, it is generally assumed that the lifetimes of the components are independently distributed, which leads to some errors when in fact they are not independent. In this paper, we study the relative errors incurred in different reliability measures due to such assumptions when actually they follow some bivariate exponential distributions. The behavior of the relative errors are demonstrated through a real life data.

中文翻译：

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指数级数系统中偏离独立性引起的误差

摘要

在可靠性和寿命测试中，当将指数分布的元件串联起来时，一般假设元件的寿命是独立分布的，实际上它们并不是独立的，这会导致一些错误。在本文中，我们研究了在实际遵循一些双变量指数分布时，由于这些假设而导致的不同可靠性测量中产生的相对误差。相对误差的行为通过真实的生活数据来证明。