On some aspects of intervened generalized Hermite distribution

C.satheesh Kumar () and D. Shibu ()

METRON, 2013, vol. 71, issue 1, 9-19

Abstract: Summary The intervened Poisson distribution (IPD) of Shanmugam (Biometrics 41:1025–1029, 1985 ) has been found suitable for some rare event situations where some intervention arises. The main drawback of IPD is that it is under-dispersed and appropriate for single intervention situation. Through this paper, we introduce a general class of distributions, which includes IPD as its special case, suitable for situations of under-dispersed, over-dispersed and multiple intervention cases. Several properties of this new class of intervened distribution are investigated and illustrated its usefulness with the help of real life data sets. Copyright Sapienza Università di Roma 2013

Keywords: Factorial moments; Intervened Poisson distribution; Intervened generalized Poisson distribution; Maximum likelihood estimation; Probability generating function (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s40300-013-0003-2

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