多参数伯努利工厂

IF 1.4 2区数学 Q2 STATISTICS & PROBABILITY

Annals of Applied Probability Pub Date : 2023-10-01 DOI:10.1214/22-aap1913

Renato Paes Leme, Jon Schneider

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引用次数: 2

摘要

我们考虑带有许多未知偏差的硬币的计算问题。我们可以访问n个偏差未知的硬币的样本p1，…，pn，并要求对给定函数f:[0,1]n→[0,1]从偏差为f(p1，…，pn)的硬币进行抽样。我们给出了函数f的一个完整的表征，使得这是可能的。因此，我们展示了如何将各种组合抽样过程(最值得注意的是k-子集的经典Sampford抽样)扩展到超立方体的边界。

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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Multiparameter Bernoulli factories

We consider the problem of computing with many coins of unknown bias. We are given access to samples of n coins with unknown biases p1,…,pn and are asked to sample from a coin with bias f(p1,…,pn) for a given function f:[0,1]n→[0,1]. We give a complete characterization of the functions f for which this is possible. As a consequence, we show how to extend various combinatorial sampling procedures (most notably, the classic Sampford sampling for k-subsets) to the boundary of the hypercube.

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来源期刊

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

CiteScore

2.70

自引率

5.60%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The Annals of Applied Probability aims to publish research of the highest quality reflecting the varied facets of contemporary Applied Probability. Primary emphasis is placed on importance and originality.