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On a multivariate generalized occupancy model

Published online by Cambridge University Press:  14 July 2016

N. L. Johnson  and
Samuel Kotz
N. L. Johnson*
Affiliation:
University of North Carolina at Chapel Hill
Samuel Kotz*
Affiliation:
Temple University, Philadelphia
*
* This research was sponsored by U. S. Army Research Office-Durham, under Grant Number DAH-C04–74-C-0030.
** This research was sponsored by U. S. Air Force Office of Scientific Research, under Grants Number 74–2701 and Number 75–2837.
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Abstract

A generalized occupancy distribution obtained by Uppuluri and Carpenter (1971) is derived by elementary methods, and extended to a multivariate situation.

Keywords

OCCUPANCY DISTRIBUTIONMULTIVARIATE DISTRIBUTION

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 392 - 399
Copyright
Copyright © Applied Probability Trust 1976 

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References

David, F. N. and Barton, D. E. (1962) Combinatorial Chance. Hafner, New York.Google Scholar
Feller, W. (1968) An Introduction to Probability Theory and its Applications. Vol. 1. Wiley, New York.Google Scholar
Harkness, W. L. (1970) The classical occupancy problem revisited. In Random Counts in Physical Sciences , ed. Patil, G. R. Penn. State Statistical Series, 108–126.Google Scholar
Johnson, N. L., Kotz, S. and Srinivasan, R. (1974) Extended occupancy probability distribution critical points. Mimeo Series No. 934, Institute of Statistics, University of North Carolina.Google Scholar
Uppuluri, V. R. R. and Carpenter, J. A. (1971) A generalization of the classical occupancy problem. J. Math. Anal. Appl. 34, 316–324.Google Scholar