Title
Approximation-assisted point estimation
Abstract
We investigate three alternatives for combining a deterministic approximation with a stochastic simulation estimator: (1) binary choice, (2) linear combination, and (3) Bayesian analysis. Making a binary choice, based on compatibility of the simulation estimator with the approximation, provides at best a 20% improvement in simulation efficiency. More effective is taking a linear combination of the approximation and the simulation estimator using weights estimated from the simulation data, which provides at best a 50% improvement in simulation efficiency. The Bayesian analysis yields a linear combination with weights that are a function of the simulation data and the prior distribution on the approximation error; the efficiency depends upon the quality of the prior distribution.
Year
DOI
Venue
1997
10.1016/S0167-6377(96)00053-3
Oper. Res. Lett.
Keywords
Field
DocType
linear combination,binary choice,stochastic simulation estimator,bayesian analysis,simulation,simulation efficiency,prior distribution,approximation-assisted point estimation,biased estimation,monte carlo,approximation error,simulation data,simulation estimator,deterministic approximation,control variates,point estimation,stochastic simulation
Stochastic simulation,Point estimation,Linear combination,Mathematical optimization,Monte Carlo method,Control variates,Prior probability,Mathematics,Approximation error,Estimator
Journal
Volume
Issue
ISSN
20
3
Operations Research Letters
Citations 
PageRank 
References 
8
3.16
2
Authors
4
Name
Order
Citations
PageRank
Barry L. Nelson11876257.62
Bruce W. Schmeiser2564134.32
Michael R. Taaffe36417.75
Jin Wang4104.73