An instance-based algorithm for deciding the bias of a coin

被引：0

作者：

Schultz Xavier da Silveira, Luis Fernando ^{[1
]}

Smid, Michiel ^{[2
]}

机构：

[1] Univ Ottawa, Sch Elect Engn & Comp Sci, Ottawa, ON, Canada

[2] Carleton Univ, Sch Comp Sci, Ottawa, ON, Canada

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2023年 / 15卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Bias coin; Chernoff-Hoeffding bound;

D O I：

10.1142/S1793830922500975

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let q is an element of (0, 1) and delta is an element of (0, 1) be real numbers, and let C be a coin that comes up heads with an unknown probability p, such that p not equal q. We present an algorithm that, on input C, q, and delta, decides, with probability at least 1 - delta, whether p < q or p > q. The expected number of coin flips made by this algorithm is O(loglog(1/epsilon) + log 91/delta)/epsilon(2)), where epsilon = |p - q|.

引用

页数：10

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