N-distance tests for a composite hypothesis of goodness of fit

Lithuanian Mathematical Journal

Volumn 50, Issue 1, 2010, Pages 13-33

  Bakshaev, A ^a  

^a VILNIUS UNIVERSITY   (Lithuania)

Author keywords

Exponentiality tests; Goodness of fit; N distances; Normality

Indexed keywords

EID: 77950023068     PISSN: 03631672     EISSN: 15738825     Source Type: Journal    
DOI: 10.1007/s10986-010-9068-2     Document Type: Article

References (16)

1. A. Bakshaev, Nonparametric tests based on N-distances, Lith. Math. J., 48(4): 368-379, 2008.
2. A. Bakshaev, Goodness of fit and homogeneity tests on the basis of N-distances, J. Stat. Plan. Inference, 139(11): 3750-3758, 2009 (Proc. of the 8th Tartu Conference on Multivariate Statistics, Tartu, Estonia, 2007, Estimation and Testing Problems).
3. J. Durbin, Weak convergence of the simple distribution function when parameters are estimated, Ann. Math. Stat., 1(2): 279-290, 1973.
4. H. Henze and L. Baringhaus, A consistent test for multivariate normality based on the empirical characteristic function, Metrika, 35: 339-348, 1998.
5. M. Kac, J. Kiefer, and J. Wolfowitz, On tests of normality and other tests of goodness of fit based on distance methods, Ann. Math. Stat., 26(2): 189-211, 1955.
6. E. V. Khmaladze, On omega-square tests for parametric hypotheses, Theory Probab. Appl., 22(3): 627-629, 1977.
7. L. B. Klebanov, N-Distances and Their Applications, Karolinum, Prague, 2005.
8. G. V. Martynov, Omega-Square Criteria, Nauka, Moscow, 1978 (in Russian).
9. M. Presedo-Quindimil, W. Stute, and W. Gonzáles-Manteiga, Bootstrap based goodness-of-fit-tests, Metrika, 40: 243-256, 1993.
10. L. B. Pulley and T. W. Epps, A test for normality based on the empirical characteristic function, Biometrika, 70: 723- 726, 1983.
11. G. J. Szekely and M. L. Rizzo, A new test for multivariate normality, J. Multivariate Anal., 93: 58-80, 2005.
12. G. Szucs, Parametric bootstrap tests for continuous and discrete distributions, Metrika, 67: 63-81, 2008.
13. N. Towghi, Multidimensional extension of L. C. Young's inequality, J. Inequal. Pure Appl. Math., 3(2), 2002, http://jipam.vu.edu.au.
14. S. Zaks, Theory of Statistical Inference, John Wiley and Sons, New York, 1971.
15. A. A. Zinger, L. B. Klebanov, and A. V. Kakosyan, Characterization of distributions by mean values of statistics in connection with some probability metrics, in Stability Problems for Stochastic Models, VNIISI, Moscow, 1989, pp. 47-55 (in Russian).
16. B. Zirkler and N. Henze, A class of invariant and consistent tests for multivariate normality, J. Multivariate Anal., 19: 3595-3617, 1990.