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On a Multiple Integral Useful in Order Statistics Distribution Theory

Published online by Cambridge University Press:  20 November 2018

D. G. Kabe
D. G. Kabe*
Affiliation:
St. Mary's University, Halifax, Nova Scotia
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Summary

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A known multiple integral from the difference calculus is used to derive certain distributions of ordered statistics from the truncated exponential, rectangular, and ordered random intervals populations.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 3 , September 1970 , pp. 311 - 315
Copyright
Copyright © Canadian Mathematical Society 1970

References

1. Barlow, R. E., Gupta, S. S. and Panchapakesan, S., On the distribution of the maximum and minimum of ratios of order statistics,Ann. Math. Statist. 40 (1964), 918-934.Google Scholar
2. Holla, M. S., Reliability estimation of the truncated exponential model, Technometrics 9 (1967), 332-336.Google Scholar
3. Kabe, D. G., Dirichlet's transformation and distributions of linear functions of ordered gamma variates, Ann. Inst. Statist. Math. 18 (1966), 367-374.Google Scholar
4. Kabe, D. G., Some distribution problems of order statistics from exponential and power function distributions, Canad. Math. Bull. 11 (1968), 263-274.Google Scholar
5. Karlin, Samuel, A First Course in stochastic processes, Academic Press, New York, 1966.Google Scholar
6. Milne-Thomson, L. M.,The calculus of finite differences, Macmillan, London, England, 1951.Google Scholar
7. Prabhu, N. W., Stochastic processes, Macmillan, New York, 1965.Google Scholar
8. Wilks, S. S., Mathematical statistics, John Wiley, New York, 1962.Google Scholar