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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