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Modelling and coherent forecasting of zero-inflated time series count data

Raju Maiti, Atanu Biswas, Apratim Guha and Huat Ong Seng

No WP2013-05-02, IIMA Working Papers from Indian Institute of Management Ahmedabad, Research and Publication Department

Abstract: In this article, a new kind of stationary zero-inflated Pegram's operator based integer-valued time series process of order p with Poisson marginal or ZIPPAR(p) is constructed for modelling a count time series consisting a large number of zeros compared to standard Poisson time series processes. Estimates of the model parameters are studied using three methods, namely Yule-Walker, conditional least squares and maximum likelihood estimation. Also h-step ahead coherent forecasting distributions of the proposed process for p = 1; 2 are derived. Real data set is used to examine and illustrate the proposed model with some simulation studies.

Date: 2013-05-02
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