Revisiting the classical occupancy problem

American Statistician

Volumn 63, Issue 4, 2009, Pages 356-360

  Williamson, Patricia Pepple ^a   Mays, Darcy P ^b   Asmerom, Ghidewon Abay ^b   Yang, Yingying ^b  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b VIRGINIA COMMONWEALTH UNIVERSITY   (United States)

Author keywords

Counting rules; Pascal's triangle; Probability distribution; Random variable; Stirling numbers of the second kind

Indexed keywords

EID: 70449858413     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/tast.2009.08104     Document Type: Article

References (10)

1. Blyth, C. R., and Curme, G. L. (1960), "Estimation of a Parameter in the Classical Occupancy Problem," Biometrika, 47, 180-185.
2. Bogart, K. P. (1983), Introductory Combinatorics, Boston: Pittman.
3. Efron, B. (1982), The Jackknife, the Bootstrap, and Other Resampling Plans, Philadelphia, PA: SIAM.
4. Feller, W. (1957), Probability Theory and Its Applications (2nd ed.), New York: Wiley.
5. Hanley, J. A. (1992), "Jumping to Coincidences: Defying Odds in the Realm of the Preposterous," The American Statistician, 46, 197-202.
6. Holst, L. (1986), "On Birthday, Collectors', Occupancy and Other Classical Urn Problems," International Statistical Review, 54, 15-27.
7. Kemp, A. W., and Kemp, C. D. (2004), "Factorial Moment Characterizations for Certain Binomial-Type Distributions," Communications in Statistics-Theory and Methods, 33, 3059-3068.
8. Leemis, L. M., and McQueston, J. T. (2008), "Univariate Distribution Relationships," The American Statistician, 62, 45-53.
9. Park, C. J. (1972), "A Note on the Classical Occupancy Problem," Annals of Mathematical Statistics, 43, 1698-1701.
10. Samuel-Cahn, E. (1974), "Asymptotic Distributions for Occupancy and Waiting Time Problems With Positive Probability of Falling Through the Cells," The Annals of Probability, 2, 515-521.