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Poisson and compound Poisson approximations for random sums of random variables

DSpace at IIT Bombay

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Title Poisson and compound Poisson approximations for random sums of random variables
 
Creator VELLAISAMY, P
CHAUDHURI, B
 
Subject convergence
trials
random sums
poisson and compound poisson approximations
cluster binomial and multinomial distributions
 
Description We derive upper bounds for the total variation distance, d, between the distributions of two random sums of non-negative integer-valued random variables. The main results are then applied to some important random sums, including cluster binomial and cluster multinomial distributions, to obtain bounds on approximating them to suitable Poisson or compound Poisson distributions. These bounds are generally better than the known results on Poisson and compound Poisson approximations. We also obtain a lower bound for d and illustrate it with an example.
 
Publisher APPLIED PROBABILITY TRUST
 
Date 2011-07-18T10:01:16Z
2011-12-26T12:50:32Z
2011-12-27T05:35:50Z
2011-07-18T10:01:16Z
2011-12-26T12:50:32Z
2011-12-27T05:35:50Z
1996
 
Type Article
 
Identifier JOURNAL OF APPLIED PROBABILITY, 33(1), 127-137
0021-9002
http://dx.doi.org/10.2307/3215270
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4869
http://hdl.handle.net/10054/4869
 
Language en