Simultaneous Testing For the Goodness of Fit to Two or More Samples

Authors

  • Narinder Kumar Department of Statistics, Panjab University, Chandigarh
  • Gobind P. Mehta Department of Statistics, Panjab University, Chandigarh

DOI:

https://doi.org/10.15415/mjis.2012.11001

Keywords:

Shift function, distribution free procedure, nonparametric hypothesis

Abstract

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.

Downloads

Download data is not yet available.

References

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.

Downloads

Published

2012-07-02

How to Cite

Narinder Kumar, and Gobind P. Mehta. 2012. “Simultaneous Testing For the Goodness of Fit to Two or More Samples”. Mathematical Journal of Interdisciplinary Sciences 1 (1):17-22. https://doi.org/10.15415/mjis.2012.11001.

Issue

Vol. 1 No. 1 (2012)

Section

Articles

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/

Creative Commons License 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
Crossref
Scopus
Google Scholar
Europe PMC