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arXiv · 1510.00843

The Bruss-Robertson Inequality: Elaborations, Extensions, and Applications

J. Michael Steele
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Abstract

The Bruss-Robertson inequality gives a bound on the maximal number of elements of a random sample whose sum is less than a specified value, and the extension of that inequality which is given here neither requires the independence of the summands nor requires the equality of their marginal distributions. A review is also given of the applications of the Bruss-Robertson inequality, especially the applications to problems of combinatorial optimization such as the sequential knapsack problem and the sequential monotone subsequence selection problem.

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J. Michael Steele. 2015-10-03. The Bruss-Robertson Inequality: Elaborations, Extensions, and Applications. https://arxiv.org/abs/1510.00843

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