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A Batching Approach to Quantile Estimation in Regenerative Simulations

Andrew F. Seila

Management Science · 1982 · Volume 28 · Issue 5

DOI: 10.1287/mnsc.28.5.573

Abstract

This paper presents a new method, called the batch quantile method, for estimating quantiles in regenerative simulations. The quantile estimator is consistent and asymptotically normal, and the method can be easily implemented and does not require prior knowledge of the range of values the data will assume. Empirical studies show adequate coverage of confidence intervals when batches of 50 cycles or more are used.

Keywords

quantile estimation, discrete event simulation, regenerative stochastic processes

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