Compound Poisson Approximation to Convolutions of Compound Negative Binomial Variables
DSpace at IIT Bombay
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Title |
Compound Poisson Approximation to Convolutions of Compound Negative Binomial Variables
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Creator |
UPADHYE, N
VELLAISAMY, P |
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Subject |
Compound negative binomial distribution
Compound Poisson distribution Total variation distance Compound Poisson approximation Kerstan's method Method of exponents ASYMPTOTIC EXPANSIONS SUMS |
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Description |
In this paper, the problem of compound Poisson approximation to the convolution of compound negative binomial distributions, under total variation distance, is considered. First, we obtain an error bound using the method of exponents and it is compared with existing ones. It is known that Kerstan's method is more powerful in compound approximation problems. We employ Kerstan's method to obtain better estimates, using higher-order approximations. These bounds are of higher-order accuracy and improve upon some of the known results in the literature. Finally, an interesting application to risk theory is discussed.
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Publisher |
SPRINGER
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Date |
2014-12-28T14:40:51Z
2014-12-28T14:40:51Z 2014 |
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Type |
Article
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Identifier |
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 16(4)951-968
1387-5841 1573-7713 http://dx.doi.org/10.1007/s11009-013-9352-9 http://dspace.library.iitb.ac.in/jspui/handle/100/16778 |
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Language |
English
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