On some aspects of intervened generalized Hermite distribution

摘要

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.