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Let W be a sum of Bernoulli random variables and Uλ a Poisson random variable having the same mean λ =EW. Using the Stein-Chen method and suitable couplings, general upper bounds for the variational distance between W and Uλ are given. These bounds are applied to problems of occupancy, using sampling with and without replacement and Pólya sampling, of capture-recapture, of spacings and of matching and ménage.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Deposited On:||13 Apr 2010 14:32|
|Last Modified:||23 Nov 2012 15:18|
|Publisher:||Applied Probability Trust|
|Free access at:||Related URL. An embargo period may apply.|
|Related URLs:||http://user.math.uzh.ch/barbour/pub/Barbour/BHolst.pdf (Author)|
|WoS Citation Count:||22|
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