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On some properties and applications of intervened cluster negative binomial distribution

Abstract In this paper, we consider an intervened version of the cluster negative binomial distribution and investigate some of its statistical properties. The parameters of the distribution are estimated by the method of maximum likelihood and by the method of pgf based minimum Hellinger type divergence. Also generalised likelihood ratio test procedure is applied for examining the significance of the intervention parameter. Certain real life data applications are provided for illustrating the usefulness of the model and a brief simulation study is carried out for assessing the performances of the estimators obtained through both the methods of estimation.