Skip to main content
Log in

A note on the asymptotic normality of the distribution of the number of empty cells in occupancy problems

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. David, F. N. and Barton, D. E. (1962).Combinatorial Chance, Charles Griffin and Company, Ltd., London.

    Google Scholar 

  2. Carathéodory, C. (1970). Über den Variabilitätbereich der Koeffizieten von Potenzreihen, die gegebene Werte nicht annehmen,Math. Ann.,64, 95–115.

    Article  Google Scholar 

  3. Carathéodory, C. (1911). Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen,Rend. Circ. Mat. Palermo,32, 193–217.

    Article  MATH  Google Scholar 

  4. Bruijn, N. G. (1966), An asymptotic problem,Notitie nr.30,Technical University,Eindhoven, Netherlands, (mimeographed).

    Google Scholar 

  5. Okamoto, M. (1952). On a non-parametric test,Osaka Math. Jnl.,4, 77–85.

    MATH  MathSciNet  Google Scholar 

  6. 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.

    Google Scholar 

  7. Riesz, F. (1911). Sur certaines systèmes singuliers d'équations intégrales,Ann. Sci. Ecole Norm. Sup.,28, 33–62.

    MATH  MathSciNet  Google Scholar 

  8. 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.

    Article  MATH  Google Scholar 

  9. Weiss, I. (1958). Limiting distributions in some occupancy problems,Ann. Math. Statist.,29, 878–884.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02479248

Keywords

Navigation