Research on Control-variate Estimators of Variance Reduction

Variance Reduction(VR) is an important way to raise simulation estimation efficiency,and Control Variate(CV) estimators are widely used for variance reduction.Based on much works in developing and analyzing CV estimators,some further researches are given.Control variate estimation is studied where the control mean itself is unbiased estimated,and take both prior and auxiliary simulation replications into consideration.Analyzing control variate estimator is focus on where the control variance is known,and given a compound estimator depending on simulation replications and covariances.Then the efficiency combining control variate variances and replication costs are consided.