This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 101
Type: Invited
Date/Time: Monday, August 2, 2010 : 8:30 AM to 10:20 AM
Sponsor: SSC
Abstract - #305934
Title: A General Numerical Method for Probability Mass Functions in Count Data Time Series
Author(s): Rong Zhu*+ and Harry Joe
Companies: McMaster University and The University of British Columbia
Address: Department of Mathematics and Statistics, Hamilton, ON, L8S 4K1, Canada
Keywords: negative binomial time series ; binomial thinning ; expectation thinning ; generalized discrete self-decomposability ; compounding operation ; inversion of characteristic function
Abstract:

Count data time series models based on expectation thinning operators do not have explicit forms of conditional and innovation probability mass functions (pmf's) except for a few cases related to the Poisson margin. In order to do simulations, likelihood inference, graphical diagnostics and prediction, we adopt a numerical method to compute relevant pmf's by the inversion of characteristic functions. We illustrate the numerical methods and compare the various negative binomial time series models for a real data example.

This is a joint work with Professor Harry Joe in the Department of Statistics at UBC.


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