This paper shows the reliability of the symmetrical columns with eccentric loading about one and two axes due to the maximum intensity stress and minimum intensity stress. In this paper, a new lifetime distribution is introduced which is obtained by compounding exponential and gamma distributions (named as Lindley distribution). Hazard rates, mean time to failure and estimation of single parameter Lindley distribution by maximum likelihood estimator have been discussed. It is observed that when the load and the area of the cross section increase, failure of the column also increases at two intensity stresses. It is observed from the results that reliability decreases when scale parameter increases.

中文翻译：

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Lindley分布的具有偏心荷载的对称柱的可靠度分析

本文显示了由于最大强度应力和最小强度应力而引起的绕一轴和两轴偏心载荷的对称圆柱的可靠性。在本文中，引入了一种新的寿命分布，该寿命分布是通过将指数分布和伽马分布（称为Lindley分布）混合而获得的。讨论了危险率，平均故障时间和最大似然估计器对单参数Lindley分布的估计。可以观察到，当载荷和横截面积增加时，在两个强度应力下，柱的破坏也会增加。从结果可以看出，当比例参数增加时，可靠性降低。