Reducing multidimensional two-sample data to one-dimensional interpoint comparisons

Annals of Statistics

Volumn 24, Issue 3, 1996, Pages 1069-1074

  Maa, Jen Fue ^a   Pearl, Dennis K ^b   Bartoszyński, Robert ^b  

^a Corning Hazelton Inc ^*  (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

Characterization of distributional equality; Distances; Multivariate

Indexed keywords

EID: 0030522371     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032526956     Document Type: Article

References (8)

1. ATKINSON, E. N., BROWN, B. W. and THOMPSON, J. R. (1989). Parallel algorithms for fixed seed simulation based parameter estimation. In Computer Science and Statistics: Proceedings of the 21st Symposium on the Interface 259-261.
2. DAVID, H. T. (1958). A three-sample Kolmogorov-Smirnov test. Ann. Math. Statist. 29 842-851.
3. FRIEDMAN, J. H. and RAFSKY, L. C. (1979). Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests. Ann. Statist. 7 697-717.
4. HENZE, N. (1988). A multivariate two-sample test based on the number of nearest neighbor type coincidences. Ann. Statist. 16 772-783.
5. MAA, J. (1993). Simulation-based parameter estimation for multivariate distributions. Ph.D. dissertation, Dept. Statistics, Ohio State Univ.
6. PEARL, D. K., BARTOSZYŃSKI, R. and HORN, D. J. (1989). A stochastic model for simulation of interactions between phytophagous spider mites and their phytoseiid predators. Exp. Appl. Acarol. 7 143-151.
7. SCHILLING, M. F. (1986). Multivariate two-sample tests based on nearest neighbors. J. Amer. Statist. Assoc. 81 779-806.
8. WHEEDEN, R. L. and ZYGMUND, A. (1977). Measure and Integral: An Introduction to Real Analysis. Dekker, New York.