Title
Reflected variance estimators for simulation
Abstract
We study reflected standardized time series (STS) estimators for the asymptotic variance parameter of a stationary stochastic process. These estimators are based on the concept of data re-use and allow us to obtain more information about the process with no additional sampling effort. Reflected STS estimators are computed from “reflections” of the original sample path. We show that it is possible to construct linear combinations of reflected estimators with smaller variance than the variance of each constituent estimator, often at no cost in bias. We provide Monte Carlo examples to show that the estimators perform as well in practice as advertised by the theory.
Year
DOI
Venue
2010
10.1109/WSC.2010.5679063
Winter Simulation Conference
Keywords
Field
DocType
stochastic processes,original sample path,reflected variance estimators,parameter estimation,reflected sts estimator,reflected variance estimator,monte carlo example,simulation,data re-use,monte carlo methods,linear combination,constituent estimator,stationary stochastic process,standardized time series estimators,asymptotic variance parameter,smaller variance,time series,additional sampling effort,monte carlo examples,modeling,monte carlo,time series analysis,random variables,stochastic process,limiting,convergence,asymptotic variance
Extremum estimator,Monte Carlo method,Random variable,Stochastic process,Bootstrapping (statistics),Estimation theory,Statistics,Delta method,Mathematics,Estimator
Conference
Volume
Issue
ISSN
47
11
0891-7736
ISBN
Citations 
PageRank 
978-1-4244-9866-6
2
0.40
References 
Authors
15
3
Name
Order
Citations
PageRank
Melike Meterelliyoz1112.32
Christos Alexopoulos242677.68
David Goldsman3904159.71