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On Estimation of Hazard Rate and Reversed Hazard Rate based on Transformations

机译:基于变换的危险率与逆向危险率估计

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Reliability concepts and measures are heavily used in the modern world to investigate characteristics of lifetime data. Hazard rate, mean residual life, reversed hazard rate and expected inactivity time are four highly regarded tools that are used in the process. They have been studied in depth over the years. This paper proposes a simple approach that makes use of relationships that exist between them to estimate these functions. The method involves fixed-design local polynomial estimators of reliability functions and their derivatives. Numerical examples show that this simple method provide good estimates for two popular parametric models in reliability.
机译:可靠性概念和度量在现代世界中大量使用,以研究寿命数据的特征。危害率,平均剩余寿命,逆向危害率和预期的不活动时间是该过程中使用的四个备受推崇的工具。这些年来已经对它们进行了深入的研究。本文提出了一种简单的方法,该方法利用它们之间存在的关系来估计这些功能。该方法涉及可靠性函数及其导数的固定设计局部多项式估计。数值算例表明,该简单方法可为两个流行的参数模型提供良好的可靠性估计。

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