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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 25, Fasc. 2,
pages 279 - 288
 

ON PC SOLUTIONS OF PARMA(p,q) MODELS

A. G. Miamee
S. Talebi

Abstract: This note is concerned with the existence of periodically correlated solutions for the PARMA(p,q) system
     1        2
xn = fnxn- 1 + fnxn-2 +...
                      + fpnxn -p + qn + h1nqn-1...+ hqnqn- q, n  (-  Z,
where qn  is a white noise and the varying coefficients  i
fn  and  i
hn  are periodic in n with period T. Conditions which ensure the existence of periodically correlated solutions for such systems are obtained.

2000 AMS Mathematics Subject Classification: 62M10, 60G10.

Key words and phrases: ARMA models, PARMA models, periodically correlated.

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