Title
Replicated batch means for steady-state simulations with initial transients
Abstract
We provide asymptotic expressions for the expected value and variance of the replicated batch means variance estimator when the stochastic process being simulated has an additive initial transient. These expressions explicitly show how the initial transient and the autocorrelation in the data affect the performance of the estimator. We apply our results to study how many replications will minimize the asymptotic bias of the variance estimator for a simple example.
Year
DOI
Venue
2007
10.1109/WSC.2007.4419617
Winter Simulation Conference
Keywords
Field
DocType
steady-state simulation,initial transient,stochastic process,expected value,replicated batch,asymptotic bias,simple example,asymptotic expression,variance estimator,autocorrelation,stochastic processes,estimation theory,steady state
Applied mathematics,Mathematical optimization,Expression (mathematics),Simulation,Computer science,Stochastic process,Expected value,Estimation theory,Steady state,Estimator,Autocorrelation,Consistent estimator
Conference
ISBN
Citations 
PageRank 
1-4244-1306-0
1
0.40
References 
Authors
5
4
Name
Order
Citations
PageRank
Christos Alexopoulos142677.68
Sigrún Andradóttir254855.09
Nilay Tanik Argon3404.22
David Goldsman4904159.71