Log-concave and concave distributions in reliability
Log-concave and concave distributions in reliability
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DOI：
10.1002/(sici)1520-6750(199906)46:4
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发表时间：
1999-06
影响因子：
2.3
通讯作者：
D. Sengupta;A. K. Nanda
中科院分区：
文献类型：
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作者：
D. Sengupta;A. K. Nanda
寿命分布的非参数类通常在某种意义上基于衰老模式。寿命分布的常见参数族也具有单调老化的特征。本文考虑对数凹分布类和凹分布子类。这项工作的动机是，大多数常见的参数模型的寿命分布（包括威布尔分布，伽玛分布，对数正态分布，帕累托分布，Gompertz分布）是对数凹的，而剩余寿命的维护和旧的单位往往有一个凹分布。凹分布和对数凹分布的类不具有单调老化的特征。然而，这两个类被证明有几个有趣的和有用的属性。我们检查关闭这些类下的一些可靠性操作，并提供尖锐的可靠性界限nonmaintained和维护的单位属于这些类的寿命分布。© 1999 John Wiley & Sons，Inc.海军研究后勤46：419-433，1999年
Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. In this paper we consider the class of log-concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric models of life distributions (including Weibull, Gamma, log-normal, Pareto, and Gompertz distributions) are log-concave, while the remaining life of maintained and old units tend to have a concave distribution. The classes of concave and log-concave distributions do not feature monotone aging. Nevertheless, these two classes are shown to have several interesting and useful properties. We examine the closure of these classes under a number of reliability operations, and provide sharp reliability bounds for nonmaintained and maintained units having life distribution belonging to these classes. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 419–433, 1999