New test for the multivariate two-sample problem based on the concept of minimum energy

Journal of Statistical Computation and Simulation

Volumn 75, Issue 2, 2005, Pages 109-119

  Aslan, B ^a   Zech, G ^a  

^a UNIVERSITY OF SIEGEN   (Germany)

Author keywords

Goodness of fit; Multidimensional; Nonparametric; Two sample test

Indexed keywords

EID: 27844449448     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650410001661440     Document Type: Article

References (21)

1. Pesarin, F., 2001, Multivariate Permutation Tests with Applications in Biostatics (Chichester: Wiley).
2. Duran, B.S., 1976, A survey of nonparametric tests for scale. Communications in Statistics: Theory and Methods, 5, 1287-1312.
3. Conover, W.J., Johnson, M.E. and Johnson, M.M., 1981, A comparative study of tests of homogeneity of variances, with applications to the outer continental shelf bidding data. Technometrics, 23, 351-361.
4. Buening, H., 1991, Robuste und Adaptive Tests (Berlin: De Gruyter).
5. Read, T.R.C. and Cressie, N.A.C., 1988, Goodness-of-Fit Statistics for Discrete Multivariate Data (New York: Springer-Verlag).
6. Scott, D.W., 1992, Multivariate Density Estimation: Theory, Practice and Visualisation (New York: Wiley).
7. Wald, A. and Wolfowitz, J., 1940, On a test whether two samples are from the same population. Annals of Mathematics and Statistics, 11, 147-162.
8. Henze, N., 1988, A multivariate two-sample test based on the number of nearest neighbor type coincidences. Annals of Statistics, 16, 772-783.
9. Bowman, A. and Foster, P., 1993, Adaptive smoothing and density-based tests of multivariate normality. Journal of the American Statistical Association, 88, 529-537.
10. Buening, H., 1999, Power comparison of several two-sample tests for general alternatives. Allgemeines Statistisches Archiv., 83, 190-210.
11. Wilcox, R.R., 1997, Introduction to Robust Estimation and Hypothesis Testing. (San Diego: Academic Press).
12. Lepage, Y.A., 1971, A combination of Wilcoxon's and Ansari-Bradley's statistics. Biometrica, 58, 213-217.
13. Friedman, J.H. and Rafsky, L.C., 1979, Multivariate generalizations of the Wolfowitz and Smirnov two-sample tests. Annals of Statistics, 1, 697-717.
14. Efron, B. and Tibshirani, R., 1993, An Introduction to the Bootstrap (New York: Chapman and Hall).
15. Buening, H., 2001, Kolmogorov-Smirnov- and Cramèr-von Mises type two-sample tests with various weight functions. Communications in Statistics: Simulation and Computation, 30, 847-865.
16. Henze, N. and Penrose, M.D., 1998, On the multivariate runs test. Annals of Statistics, 27, 290-298.
17. Devroye, L., 1986, Non-Uniform Random Variate Generation (New York: Springer-Verlag).
18. Ahrens, J.H. and Dieter, U., 1977, Pseudo-Random Numbers (New York: Wiley).
19. Bahr, R., 1996, A new test for the multi-dimensional two-sample problem under general alternative (German). PhD thesis, University of Hannover.
20. Schilling, M.F., 1986, Multivariate two-sample tests based on nearest neighbors. Journal of the American Statistical Association, 81, 799-806.
21. Gel'fand, I.M. and Shelov, G.E., 1964, Generalized Functions: Properties and Operations, Vol. 1 (New York: Academic Press).