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

Abstract Details

Activity Number: 31
Type: Contributed
Date/Time: Sunday, August 1, 2010 : 2:00 PM to 3:50 PM
Sponsor: Business and Economic Statistics Section
Abstract - #308333
Title: A Vector Autoregressive Approximation for an Infinite-Order Autoregressive Long Memory Process
Author(s): Chafik Bouhaddioui*+
Companies: United Arab Emirates University
Address: College of Business and Economics, Al Ain, , United Arab Emirates
Keywords: Vector Autoregressive Approximation ; Order Selection ; Long Memory Process ; Asymptotic Efficiency
Abstract:

In this paper we propose an approximation of an infinite-order autoregressive process with a long memory condition with a finite-order vector autoregressive process. Under some regular conditions on the order, which increases to infinity with the sample size at some rate, we show the consistency of the estimated autoregressive parameters. An asymptotic approximation to the mean square prediction error based on this autoregressive model fitting approach is obtained. An extension of a result on the predictive optimality of AIC to long memory process is discussed.


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