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Some uses of lagrange’s formula in the distribution theory with reference to queuing problems

 

作者: R.P. Gupta,   G.C. Jain,  

 

期刊: Mathematische Operationsforschung und Statistik  (Taylor Available online 1973)
卷期: Volume 4, issue 1  

页码: 69-73

 

ISSN:0047-6277

 

年代: 1973

 

DOI:10.1080/02331887308801109

 

出版商: Akademie-Verlag

 

数据来源: Taylor

 

摘要:

LAGRANGE's formula has been used to derive certain expression which occur frequently in the theory of queues. The method is perhaps the simplest one to prove that these expressions are probability distributions. In particular the generalized forms of POISSON and negative binomail distributions are obtained. Expressions for certain summaation series have also been derived. The use of the formula enables us to relax some conditions on the parameters of these distributions.

 

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