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M. K. Patil and D. T. Shirke, “Testing Parameter of the Power Series Distribution of a Zero-Inflated Power Series Model,” Statistical Methodology, Vol. 4, No. 4, 2007, pp. 393-406. doi:10.1016/j.stamet.2006.12.001

has been cited by the following article:

• TITLE: Bivariate Zero-Inflated Power Series Distribution

  AUTHORS: Patil Maruti Krishna, Shirke Digambar Tukaram

  KEYWORDS: Bivariate Zero-Inflated Power Series Distribution, Bivariate Zero-Inflated Poisson Distribution, K-Variate Zero-Inflated Power Series Distribution

  JOURNAL NAME: Applied Mathematics, Vol.2 No.7, July 6, 2011

  ABSTRACT: Many researchers have discussed zero-inflated univariate distributions. These univariate models are not suitable, for modeling events that involve different types of counts or defects. To model several types of defects, multivariate Poisson model is one of the appropriate model. This can further be modified to incorporate inflation at zero and we can have multivariate zero-inflated Poisson distribution. In the present article, we introduce a new Bivariate Zero Inflated Power Series Distribution and discuss inference related to the parameters involved in the model. We also discuss the inference related to Bivariate Zero Inflated Poisson Distribution. The model has been applied to a real life data. Extension to k-variate zero inflated power series distribution is also discussed.