Some stochastic comparisons of lower records and lower record spacings

IF 0.7 3区工程技术 Q4 ENGINEERING, INDUSTRIAL

Probability in the Engineering and Informational Sciences Pub Date : 2022-01-26 DOI:10.1017/S026996482100053X

N. Balakrishnan, A. Castaño-Martínez, M. A. Sordo

引用次数: 0

Abstract

We obtain here sufficient conditions for increasing concave order and location independent more riskier order of lower record values based on stochastic comparisons of minimum order statistics. We further discuss stochastic orderings of lower record spacings. In particular, we show that increasing convex order of adjacent spacings between minimum order statistics is a sufficient condition for increasing convex order of adjacent spacings of their lower records.

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低记录和低记录间隔的一些随机比较

本文基于最小阶统计量的随机比较，得到了低记录值下凹阶递增和位置无关的高风险阶递增的充分条件。我们进一步讨论了下记录间隔的随机排序。特别地，我们证明了增加最小阶统计量之间相邻间距的凸阶是增加其下记录相邻间距的凸阶的充分条件。

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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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.