Rates of Poisson convergence for some coverage and urn problems using coupling

1 March 1988

journal article
research article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 25 (04) , 717-724
https://doi.org/10.1017/s0021900200041504

Abstract

Bounds on the rate of convergence measured by the variation distance are obtained for the number of large spacings and for two occupancy problems connected with multinomial and Pólya sampling. The bounds are derived by imbedding techniques together with the elementary coupling inequality.

Keywords

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