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Activity Number: 510
Type: Topic Contributed
Date/Time: Wednesday, August 5, 2009 : 2:00 PM to 3:50 PM
Sponsor: Business and Economic Statistics Section
Abstract - #304427
Title: A Bayesian Approach to Seasonal Long Memory
Author(s): Scott Holan*+ and Tucker S. McElroy
Companies: University of Missouri-Columbia and U.S. Census Bureau
Address: 146 Middlebush Hall, Columbia , MO, 65211-6100,
Keywords: Bayesian hierarchical model ; reversible jump MCMC ; seasonal long-memory
Abstract:

We develop a Bayesian procedure for analyzing time series that exhibit seasonal long memory. Specifically, we consider the Generalized Exponential Model (GEXP) to estimate the trend and/or seasonal long memory parameters of a stationary Gaussian time series. Estimation of the GEXP proceeds using a Bayesian hierarchical model. Further, we provide a brief description of a reversible jump Markov chain Monte Carlo algorithm for variable dimension estimation. Simulations and analysis of real time series data demonstrate the effectiveness of our approach.


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