对数凹函数不等式及其在故障率研究中的应用

IF 0.7 3区工程技术 Q4 ENGINEERING, INDUSTRIAL

Probability in the Engineering and Informational Sciences Pub Date : 2024-04-23 DOI:10.1017/s0269964824000056

Mahdi Alimohammadi, N. Balakrishnan, T. Simon

引用次数: 0

摘要

我们在此建立了实对数凹函数的积分不等式，可将其视为平均单调似然特性。然后，我们将应用该不等式来检验故障率的单调性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An inequality for log-concave functions and its use in the study of failure rates

We establish here an integral inequality for real log-concave functions, which can be viewed as an average monotone likelihood property. This inequality is then applied to examine the monotonicity of failure rates.

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来源期刊

Probability in the Engineering and Informational Sciences 数学-工程：工业

CiteScore

2.20

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： The primary focus of the journal is on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, mathematical finance and probabilistic networks and graphs. Papers on analytic properties and related disciplines are also considered, as well as more general papers on applied and computational probability, if appropriate. Readers include academics working in statistics, operations research, computer science, engineering, management science and physical sciences as well as industrial practitioners engaged in telecommunications, computer science, financial engineering, operations research and management science.