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Activity Number: 514
Type: Contributed
Date/Time: Wednesday, August 1, 2012 : 10:30 AM to 12:20 PM
Sponsor: Business and Economic Statistics Section
Abstract - #305571
Title: Goodness-of-Fit Testing for Non-Causal Autoregressive Time Series with Stable Noise
Author(s): Yunwei Cui*+ and Thomas Fisher and Rongning Wu
Companies: University of Houston-Downtown and University of Missouri-Kansas City and Baruch College
Address: Department of Computer and Mathematical, Houston, TX, 77002, United States
Keywords: non-causal autoregressive ; stable noise
Abstract:

We study the goodness-of-fit test for non-causal autoregressive time series with non-Gaussian stable noise. To model time series exhibiting sharp spikes or occasional bursts of outlying observations, the exponent of the non-Gaussian stable variables is assumed to be less than two. Under such conditions, the innovation variables have no finite second moment. We proved that the sample autocorrelation functions of the trimmed residuals are asymptotically normal. Thus, an assortment of portmanteau statistics are available for model assessment.


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