Chitkara University Publications

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

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.

Author(s):

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

DOI: 

Keywords: 

Shift function, distribution free procedure, nonparametric hypothesis

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.

 

 

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