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Article #3604

serial correlation

#3604
From: PMTB00A
Date: Fri, 03 Jan 1992 16:44
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The whole problem that you are having is that you have ignored the
underlying analytical structure. In particular if the disturbances u(t)
exhibit first order autocorrelation then we represent them by

                u(t) = p*u(t-1) + e(t)
where e(t) is serially independent. The variance of u(t) is an infinite
geometric series in var(e(t)). From this we obtain, the result that

                var(e(t)) = (1-p)*var(u(t))
Thus, your problem is solved with clear presentation.
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Date:         Fri, 3 Jan 1992 11:44:00 CDT
Sender:       "STATISTICAL CONSULTING" <STAT-L@MCGILL1.BITNET>
From:         PMTB00A@PANAM.BITNET
Subject:      serial correlation