References
David, F. N. and Barton, D. E. (1962).Combinatorial Chance, Charles Griffin and Company, Ltd., London.
Carathéodory, C. (1970). Über den Variabilitätbereich der Koeffizieten von Potenzreihen, die gegebene Werte nicht annehmen,Math. Ann.,64, 95–115.
Carathéodory, C. (1911). Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen,Rend. Circ. Mat. Palermo,32, 193–217.
Bruijn, N. G. (1966), An asymptotic problem,Notitie nr.30,Technical University,Eindhoven, Netherlands, (mimeographed).
Okamoto, M. (1952). On a non-parametric test,Osaka Math. Jnl.,4, 77–85.
Rényi, A. (1960). Three new proofs and a generalization of a theorem of Irving Weiss,Magyar Tud. Akad. Mat. Kutató Int. Kozl. A.7, 203–214.
Riesz, F. (1911). Sur certaines systèmes singuliers d'équations intégrales,Ann. Sci. Ecole Norm. Sup.,28, 33–62.
Sevast'yanov, B. A. and Chistyakov, V. P. (1964). Asymptotic normality in the classical ball problem,Theory of probability and its applications,9, 198–211.
Weiss, I. (1958). Limiting distributions in some occupancy problems,Ann. Math. Statist.,29, 878–884.
Author information
Authors and Affiliations
Additional information
Sponsored by the Mathematics Research Center, United States Army, Madison, Wisconsin, under Contract No.: DA-31-124-ARO-D-462.
About this article
Cite this article
Harris, B., Park, C.J. A note on the asymptotic normality of the distribution of the number of empty cells in occupancy problems. Ann Inst Stat Math 23, 507–513 (1971). https://doi.org/10.1007/BF02479248
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02479248