Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-26T12:31:12.106Z Has data issue: false hasContentIssue false

Dispersive ordering is the same as tail-ordering

Published online by Cambridge University Press:  01 July 2016

J. V. Deshpande*
Affiliation:
Panjab University
S. C. Kochar*
Affiliation:
Panjab University
*
Postal address: Department of Statistics, Panjab University, Chandigarh, India.
Postal address: Department of Statistics, Panjab University, Chandigarh, India.
Rights & Permissions [Opens in a new window]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Letters to the Editor
Copyright
Copyright © Applied Probability Trust 1983 

References

Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
Deshpande, Jay Ant V. and Kochar, Subhash C. (1982) Some competitors of Wilcoxon-Mann-Whitney test for the location alternative. J. Indian Statist. Assoc. 19, 918.Google Scholar
Deshpande, Jay Ant V. and Mehta, Gobind P. (1982) Inequality for the infimum of PCS for heavy tailed distributions. J. Indian Statist. Assoc. 19, 1925.Google Scholar
Doksum, K. (1969) Star-shaped transformations and the power of rank tests. Ann. Math. Statist. 40, 11671176.CrossRefGoogle Scholar
Fraser, D. A. S. (1957) Nonparametric Methods in Statistics. Wiley, New York.Google Scholar
Kochar, Subhash C. (1978) Distribution-free Comparison of Two Probability Distributions with Reference to their Hazard Rates. , Panjab University, India.Google Scholar
Lewis, T. and Thompson, J. W. (1981) Dispersive distributions and the connection between dispersivity and strong unimodality. J. Appl. Prob. 18, 7690.CrossRefGoogle Scholar
Saunders, I. W. and Moran, P. A. P. (1978) On the quantiles of the gamma and F distributions. J. Appl. Prob. 15, 426432.CrossRefGoogle Scholar
Shared, M. (1982) Dispersive ordering of distributions. J. Appl. Prob. 19, 310320.Google Scholar
Yanagimoto, T. and Sibuya, M. (1976) Isotonic tests for spread and tail. Ann. Inst. Statist. Math. 28 A, 329342.CrossRefGoogle Scholar
Yanagimoto, T. and Sibuya, M. (1980) Comparison of tails of distributions in models for estimating safe doses. Ann. Inst. Statist. Math. 32 A, 325340.CrossRefGoogle Scholar