IJPAM: Volume 77, No. 5 (2012)

ERROR ESTIMATION OF EMPTY URNS MODEL
BY STEIN-CHEN METHOD
FOR POISSON APPROXIMATION

Chinnawat Tangkanchanawong$^1$, Angkana Boonyued$^2$
$^{1,2}$Centre of Excellence in Mathematics, CHE
Sri Ayuttaya Rd., Bangkok 10400, THAILAND
$^{1,2}$Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen, 40002, THAILAND


Abstract. In this paper, we give an error estimation of the number of empty urns with arbitrary probability by Poisson approximation, into which throwing balls independently, via Stein-Chen coupling method.

Received: November 21, 2011

AMS Subject Classification: 60G07

Key Words and Phrases: Urn model, Poisson approximation, occupancy urn model, Stein's method, Stein-Chen coupling method

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 5