Simultaneous Testing For the Goodness of Fit to Two or More Samples
In this paper we have considered the problem to test for the simultaneous goodness of fit of an absolutely continuous distribution function to many samples. The proposed
test is seen to have many desirable properties.
Barlow, R. E., Bartholomew, D. J., Bremner, J. M. and Brunk, H. D. (1972): Statistical Inference under Order Restrictions. John Wiley & Sons, New York.
Doksum, K. (1974): Empirical probability plots and statistical inference for nonlinear models in the two sample case. Annals of Statistics, 2, 267–277. http://dx.doi.org/10.1214/aos/1176342662
Hochberg, Y. and Tamhane, A. C. (1987): Multiple Comparison Procedures. John Wiley & Sons, NewYork.
Kiefer, J. (1959): K-sample analogue of the Kolmogorov-Smirnov and Cramer von-Mises tests. Annals of Mathematical Statistics, 30, 420–427. http://dx.doi.org/10.1214/aoms/1177706261
Miller, R. G., Jr. (1981): Simultaneous Statistical Inference, 2nd ed., Springer-Verlag, NewYork.
Shaked, M. and Shanthikumar, J.G. (1994): Stochastic Orders and Their Applications, Academic Press, San Diego.
Copyright (c) 2012 Mathematical Journal of Interdisciplinary Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.
View Legal Code of the above mentioned license, https://creativecommons.org/licenses/by/4.0/legalcode
View Licence Deed here https://creativecommons.org/licenses/by/4.0/
|Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in|