On the number of successes in dependent trials
DSpace at IIT Bombay
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Title |
On the number of successes in dependent trials
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Creator |
VELLAISAMY, P
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Subject |
poisson
dependent bernoulli trials poisson's binomial distribution generalized binomial distributions poisson approximations |
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Description |
A new approach to the study of the distributions of sums of n Bernoulli variables by conditional distributions is considered. This leads to a characterization of binomial distribution, and provides a simple approach to the study of generalized binomial distributions. We show that the binomial distribution and Poisson's binomial distribution can be derived as the distribution of sum of dependent Bernoulli random variables. Finally the problem of Poisson approximation to the generalized binomial distribution is investigated.
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Publisher |
MARCEL DEKKER INC
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Date |
2011-08-18T11:23:09Z
2011-12-26T12:55:43Z 2011-12-27T05:42:10Z 2011-08-18T11:23:09Z 2011-12-26T12:55:43Z 2011-12-27T05:42:10Z 1996 |
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Type |
Article
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Identifier |
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 25(8), 1745-1756
0361-0926 http://dspace.library.iitb.ac.in/xmlui/handle/10054/9997 http://hdl.handle.net/10054/9997 |
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Language |
en
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