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Activity Number: 221
Type: Topic Contributed
Date/Time: Tuesday, August 5, 2008 : 8:30 AM to 10:20 AM
Sponsor: Business and Economics Statistics Section
Abstract - #301856
Title: Time Series Analysis for PARMA Sequences of Less Than Full Rank
Author(s): Harry Hurd*+
Companies: The University of North Carolina at Chapel Hill
Address: Dept of Medical Statistics, Chapel Hill, NC, 27599,
Keywords: PARMA ; Periodically Correlated ; Nonstationary ; Time Series
Abstract:

In this paper we consider several aspects of time series analysis for periodic ARMA (PARMA) sequences when the observed sequence is of deficient (innovation) rank. We will begin by discussing the rank of PC sequences and of PARMA sequences in particular, where we address conditions on parameters that produce rank deficiency. Finally, we describe some of the considerations of time series analysis of rank deficient PARMA sequences. Specifically, we address the detection of rank deficiency in the time series and the estimation of parameters by likelihood methods.


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Revised September, 2008