References
- Baranchik , A. J. 1973 . A family of minimax estimators of the mean of multivariate normal distribution . Ann. Math. Statist , 41 : 642 – 645 .
- Bauer , K. W. 1987 . Control Variate Selection for Multiresponse Simulation , Department of Industrial Engineering, Purdue University . Ph.D. Dissertation
- Chen , J. and Hwang , J. T. 1989 . Improved set estimators for the coefficient of a linear model when the error distribution is spherically symmetric with unknown variances . Canadian J. of Statist , 16 : 293 – 299 .
- De , O. A. M. , Nova , P. and Wilson , J. R. 1989 . Estimation of multi-response simulation metamodels using control variates . Management Sci , 35 : 1316 – 1333 .
- Fishman , G. S. 1989 . Monte Carlo, Control Variates, and Stochastic Ordering . SIAM J. Sci. Statist. Comput , 10 : 187 – 204 .
- Gleser , L. J. 1987 . Improved estimators of mean responses in simulation when control variates with unknown covariance matrix are used , Mimeo, West Lafayette : Department of Statistics, Purdue University . Series Number 87-34
- Hwang , J. T. and Casella , G. 1982 . Minimax confidence sets for the mean vector of a multivariate normal distribution . Ann. Statist , 10 : 868 – 881 .
- Hwang , J. T. and Casella , G. 1984 . Improved set estimators for a multivariate normal mean . Statist. Decisions , 1 : 3 – 16 .
- Hwang , J. T. and Chen , J. 1986 . Improved confidence sets for the coefficients of a linear model with spherically symmetric errors . Ann. Statist , 11 : 444 – 460 .
- Kleijen , J. P. C. 1975 . Statistical Techniques in simulation, Part 1 and 2 , New York : Marcel Dekker .
- Lavenberg , S. S. , Moeller , T. L. and Welch , P. D. 1982 . Statistical results on control variables with applications to queuing network simulation . Operations Research , 30 : 182 – 202 .
- Lavenberg , S. S. and Welch , P. D. 1981 . A perspective on the use of control variates to increase the efficiency of Monte Carlo simulation . Management Sci , 27 : 332 – 335 .
- Nelson , B. L. 1987 . A perspective on variance reduction in dynamic simulation experiment . Comm. Statist , B16 : 385 – 426 .
- Rubinstein , R. and Marcus , R. 1985 . Efficiency of multivariate control variates in Monte Carlo simulation . Operations Researches , 33 : 661 – 667 .
- Sclove , S. L. , Morris , C. and Radhakrishnan , R. 1972 . Non-optimality of preliminary test estimators for the mean of a multivariate normal distribution . Ann. Math. Statist , 43 : 1481 – 1490 .
- Stein , C. 1960 . “ Multiple regression ” . In In Contributions to Probability and Statistics. Essays in Honor of Harold Hotelling , Edited by: Olkin , I. , Ghurye , S. G. , Hoeffding , W. , Madow , W. G. and Mann , H. B. Stanford, California : Stanford University Press .
- Takada , Y. 1979 . A family of minimax estimators in some multiple regression problems . Ann. Statist. , 7 : 1144 – 1147 .
- Tan , M. 1990 . Shrinkage, GMANOVA, Control Variates and their Applications , West Lafayette : Department of Statistics, Purdue University . PhD. Thesis
- Tan , M. and Gleser , L. J. 1992 . Minimax estimators for location vectors in elliptical distributions with unknown scale parameter and its application to variance reduction in simulation . Annals of the Institute of Statistical Mathematics , 44 : 537 – 550 .
- Wilson , J. R. 1984 . Variance reduction techniques for digital simulation . Mathematics and Management Sci , l : 227 – 312 .
- Wilson , J. R. and Pritsker , A. A. B. 1984 . Variance reduction in queuing simulation using generalized concomitant variables . Journal of Statistical Simulation and Computation , 19 : 129 – 153 .