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On some aspects of intervened generalized Hermite distribution

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  • C. Kumar
  • D. Shibu

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

Suggested Citation

  • C. Kumar & D. Shibu, 2013. "On some aspects of intervened generalized Hermite distribution," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 9-19, June.
    • Handle: RePEc:spr:metron:v:71:y:2013:i:1:p:9-19
    DOI: 10.1007/s40300-013-0003-2
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    References listed on IDEAS

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    1. C. Satheesh Kumar & D. S. Shibu, 2011. "Modified intervened Poisson distribution," Statistica, Department of Statistics, University of Bologna, vol. 71(4), pages 489-499.
    2. Scollnik, David P.M., 1998. "On the Analysis of the Truncated Generalized Poisson Distribution Using a Bayesian Method," ASTIN Bulletin, Cambridge University Press, vol. 28(1), pages 135-152, May.
    3. Kumar, C. Satheesh, 2002. "Extended generalized Hypergeometric probability distributions," Statistics & Probability Letters, Elsevier, vol. 59(1), pages 1-7, August.
    4. Puig, Pedro, 2003. "Characterizing Additively Closed Discrete Models by a Property of Their Maximum Likelihood Estimators, With an Application to Generalized Hermite Distributions," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 687-692, January.
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