Bootstrap confidence intervals for ratios of expectations

Author:

Choquet Denis1,L'Ecuyer Pierre1,Léger Christian1

Affiliation:

1. Univ. de Montréal, Montréal, Canada

Abstract

We are concerned with computing a confidence interval for the ratio E [ Y ]/ E [ X , where ( X,Y ) is a pair of random variables. This ratio estimation problem arises in, for instance, regenerative simulation. As an alternative to confidence intervals based on asymptotic normality, we study and compare different variants of the bootstrap for one-sided and two-sided intervals. We point out situations where these techniques provide confidence intervals with coverage much closer to the nominal value than do the classical methods.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Science Applications,Modeling and Simulation

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