A poisson approximation in an urn model with indistinguishable balls
In: Journal of Statistical Planning and Inference, Jg. 26 (1990-09-01), S. 93-101
Online
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Zugriff:
Let n indistinguishable balls be distributed in m urns such that all (m+n−1m−1) distributions are equally probable, and consider the number Mk of urns containing k balls each (k≥0). If m→∞ and n m→0 or ∞, the distribution of Mk can be approximated by a suitable Poisson distribution; we obtain estimates of the errors in such an approximation to the probability function and to the distribution function of Mk for large but finite m. A similar result is obtained for the model where no urn is allowed to be empty. The method used is elementary.
Titel: |
A poisson approximation in an urn model with indistinguishable balls
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Autor/in / Beteiligte Person: | Menon, V.V. ; Indira, N.K. |
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Zeitschrift: | Journal of Statistical Planning and Inference, Jg. 26 (1990-09-01), S. 93-101 |
Veröffentlichung: | Elsevier BV, 1990 |
Medientyp: | unknown |
ISSN: | 0378-3758 (print) |
DOI: | 10.1016/0378-3758(90)90098-f |
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