Densities for random balanced sampling

Journal of Multivariate Analysis

Volumn 98, Issue 2, 2007, Pages 350-369

  Bubenik, Peter ^a   Holbrook, John ^b  

^a CLEVELAND STATE UNIVERSITY   (United States)

^b UNIVERSITY OF GUELPH   (Canada)

Author keywords

Antithetic variates; Densities on polytopes; Fractal geometry; Monte Carlo; Multivariate distributions; Sampling methodology

Indexed keywords

EID: 33750515068     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2006.01.007     Document Type: Article

References (14)

1. N. Arvidsen, T. Johnsson, Variance reduction through negative correlation, a simulation study, J. Statist. Comput. Simulation (1982) 119-127.
2. R.V. Craiu, X.-L. Meng, Antithetic coupling for perfect sampling, Bayesian Methods with Applications to Science, Policy, and Official Statistics-Selected Papers from ISBA 2000.
3. Craiu R.V., and Meng X.-L. Chance and fractals. Chance 14 (2001) 47-52
4. Craiu R.V., and Meng X.-L. Multiprocess parallel antithetic coupling for backward and forward Markov chain Monte Carlo. Ann. Statist. 33 2 (2005) 661-697
5. K. Gerow, An algorithm for random balance sampling, Master's Thesis, University of Guelph, 1984.
6. K. Gerow, Model-unbiased, unbiased-in-general estimation of a regression function, Ph.D. Thesis, Cornell University, 1993.
7. K. Gerow, J. Holbrook, Construction of random balanced samples, Working Paper, 1990.
8. Gerow K., and Holbrook J. Statistical sampling and fractal distributions. Math. Intelligencer 18 2 (1996) 12-22
9. Gerow K., and McCulloch C.E. Simultaneously model-unbiased, design-unbiased estimation. Biometrics 56 3 (2000) 873-878
10. Hall P. Antithetic resampling for the bootstrap. Biometrika 76 4 (1989) 713-724
11. Hammersley J.M., and Morton K.W. A new Monte Carlo technique: antithetic variates. Proc. Cambridge Philos. Soc. 52 (1956) 449-475
12. Hoel P. Introduction to Mathematical Statistics (1954), Wiley, New York
13. R. Ramlochan, Iterated function systems and fractal sampling, Master's Thesis, University of Guelph, 1990.
14. Royall R., and Cumberland W. An empirical study of the ratio estimator and estimators of its variance. Discussion paper in J. Amer. Statist. Soc. 76 373 (1981) 66-88