@inproceedings{e57c597293ec4ae5a86328ec2649ff27,
title = "Confidence intervals for quantiles with standardized time series",
abstract = "Schruben (1983) developed standardized time series (STS) methods to construct confidence intervals (CIs) for the steady-state mean of a stationary process. STS techniques cancel out the variance constant in the asymptotic distribution of the centered and scaled estimator, thereby eliminating the need to consistently estimate the asymptotic variance to obtain a CI. This is desirable since estimating the asymptotic variance in steady-state simulations presents nontrivial challenges. Difficulties also arise in estimating the asymptotic variance of a quantile estimator. We show that STS methods can be used to build CIs for a quantile for the case of crude Monte Carlo (i.e., no variance reduction) with independent and identically distributed outputs. We present numerical results comparing CIs for quantiles using STS to other procedures.",
author = "Calvin, \{James M.\} and Nakayama, \{Marvin K.\}",
year = "2013",
doi = "10.1109/WSC.2013.6721454",
language = "English (US)",
isbn = "9781479939503",
series = "Proceedings of the 2013 Winter Simulation Conference - Simulation: Making Decisions in a Complex World, WSC 2013",
publisher = "IEEE Computer Society",
pages = "601--612",
booktitle = "Proceedings of the 2013 Winter Simulation Conference - Simulation",
address = "United States",
note = "43rd Winter Simulation Conference , WSC 2013 ; Conference date: 08-12-2013 Through 11-12-2013",
}