布鲁斯-罗伯逊-斯蒂尔不等式

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Journal of Applied Probability Pub Date : 2023-03-13 DOI:10.1017/jpr.2022.122

L. Rogers

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引用次数: 0

摘要

BRS不等式限定了一个给定行李箱中可装的随机大小物品的期望数量。值得注意的是，随机大小不需要独立性假设，这指向了一个简单的解释;这个不等式是$ $ × $ $不等式的积分形式，正如本注所证明的那样。

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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The Bruss–Robertson–Steele inequality

Abstract The Bruss–Robertson–Steele (BRS) inequality bounds the expected number of items of random size which can be packed into a given suitcase. Remarkably, no independence assumptions are needed on the random sizes, which points to a simple explanation; the inequality is the integrated form of an $\omega$ -by- $\omega$ inequality, as this note proves.

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来源期刊

Journal of Applied Probability 数学-统计学与概率论

CiteScore

1.50

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Applied Probability is the oldest journal devoted to the publication of research in the field of applied probability. It is an international journal published by the Applied Probability Trust, and it serves as a companion publication to the Advances in Applied Probability. Its wide audience includes leading researchers across the entire spectrum of applied probability, including biosciences applications, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.