References
- Anderson , K. , Sobel , M. and Uppuluri , R.R. 1982 . Quota fulfillment times . Can. J. Statist. , 10 : 73 – 88 .
- Arratia , R. , Goldstein , L. and Gordon , L. 1989 . Two moments suffice for Poisson approximations: The Chen-Stein method . Ann. Probab. , 17 : 9 – 25 .
- Azar , Y. , Broder , A.Z. , Karlin , A.R. and Upfal , E. Balanced allocations. In Proceedings of the 26th ACM Symposium on Theory of Computing (STOC), Montreal, Canada, 1994.
- Azzalini , A. 1985 . A class of distributions including the normal ones . Scand. J. Statist. , 12 : 171 – 178 .
- Barbour , A.D. , Holst , L. and Janson , S. 1992 . Poisson Approximation Oxford : Clarendon Press .
- Boutsikas , M.V. and Koutras , M.V. 2002 . On the number of overflown urns and excess balls in an allocation model with limited urn capacity . J. Statist. Plann. Inference , 104 : 259 – 286 . [CROSSREF]
- Casella , G. and Berger , R. 2002 . Statistical Inference , 2nd Ed. Pacific Grove, CA : Duxbury .
- David , F.N. and Barton , D.E. 1962 . Combinatorial Chance New York : Hafner Publishing Co .
- Diaconis , P. and Graham , R.L. 1981 . The analysis of sequential experiments with feedback to subjects . Ann. Statist. , 9 : 3 – 23 .
- Diekman , R. and Preis , R. 1999 . “ Load balancing strategies for distributed memory machines, Chapter 7 ” . In Parallel and Distributed Processing for Computational Mechanics: Systems and Tools Edited by: Topping , B.H.V. Edinburgh, UK : Saxe-Coburg Publications .
- Feller , W. 1968 . An Introduction to Probability Theory and Its Applications Vol. I , New York : Wiley .
- Freeman , P.R. 1979 . Exact distribution of the largest multinomial frequency . Appl. Statist. , 28 : 333 – 336 .
- Gumbel , E.J. 1958 . Statistics of Extremes New York : Columbia University Press .
- Holst , L. 1986 . On birthday, collectors', occupancy and other classical urn problems . Internat. Statist. Rev. , 54 : 15 – 27 .
- Ivanov , A.V. and Ivchenko , G.I. 1978 . On some boundary functionals for Markov walks . Math. Notes , 23 : 315 – 326 .
- Joag-Dev , K. and Proshan , F. 1983 . Negative association of random variables, with applications . Ann. Statist. , 11 : 286 – 295 .
- Johnson , N.L. and Kotz , S. 1977 . Urn Models and Their Applications. An Approach to Modern Discrete Probability Theory New York : Wiley .
- Johnson , N.L. and Young , D.H. 1960 . Some applications of two approximations to the multinomial distribution . Biometrika , 47 : 463 – 469 .
- Kolchin , V.F. , Sevast'yanov , B.A. and Chistyakov , V.P. 1978 . Random Allocations Washington, DC : Whinston Sons .
- Leadbetter , M.R. , Lindgren , G. and Rootzen , H. 1983 . Extremes and Related Properties of Random Sequences and Processes New York : Springer .
- Levin , B. 1981 . A representation for multinomial distribution function . Ann. Statist. , 9 : 1123 – 1126 .
- Rosenberger , W.F. and Lachin , J.M. 2002 . Randomization in Clinical Trials: Theory and Practice New York : Wiley .
- Rukhin , A.L. 2003 . Covariance identity for multinomial trials . Statist. Probab. Lett. , 63 : 107 – 112 . [CROSSREF]
- Rukhin , A.L. 2004 . Gamma-distribution order statistics, maximal multinomial frequency and randomization designs . J. Statist. Plann. , Inference (to appear)
- Siegmund , D. 1985 . Sequential Analysis: Tests and Confidence Intervals New York : Springer .
- Sobel , M. , Uppuluri , R.R. and Frankowski , K. 1985 . Tables in Mathematical Statistics Vol. 9 , Providence, RI : American Mathematical Society .
- Uppuluri , R.R. and Blot , J. 1970 . “ A probability distribution arising in a riff-shuffle ” . In Random Counts in Scientific Work Edited by: Patil , G.P. University Park : Pennsylvania State University Press .
- Young , D.H. 1961 . Quota fulfillment using unrestricted random sampling . Biometrika , 48 : 333 – 342 .
- Yusas , I.S. 1972 . On the distribution of the maximum frequency of a multinomial distribution . Theor. Probab. Appl. , 17 : 712 – 717 .
- Blackwell , D and Hodges , J.L., Jr . 1957 . Design for the control of selection bias . Ann. Math. Statist. , 28 : 449 – 460 .
- Mallows , C.L. 1968 . An inequality involving multinomial probabilities . Biometrika , 55 : 422 – 424 .
- Recommended by P. Chen