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A Bivariate Zero-Inflated Poisson Model with Skew-Normal Random Effect
Mozhgan Dehghani , Mohammad Reza Zadkarami , Mohammad Reza Akhoond
Abstract:   (1005 Views)

In the last decade, Poisson regression has been used for modeling count response variables. Poisson regression is not a suitable choice when count data bears superfluity of zero numbers. In this article, two models zero-inflated Poisson regression and bivariate zero-inflated Poisson regression with random effect are used to modeling count responses with a superfluity of zero numbers. Usually, distribution of the random effect is considered normal, but we intend to employ more flexible skew-normal distribution for the distribution of the random effect. Finally, the purpose model is applied to data which as obtained from the Shahid Chamran University of Ahvaz concerning the number of failed courses and fail grade point average semesters. we used a simulation method to verify parameter estimations. 

Keywords: Zero-Infalted Poisson, Random Effect, Skew-Normal, Bivariate Skew-Normal.
Full-Text [PDF 5758 kb]   (145 Downloads)    
Type of Study: Applied | Subject: Statistical Inference
Received: 2016/05/4 | Accepted: 2016/12/31
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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