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3 mo treasury yield borrowing costs Dow industrials NY Times 18 Sept 2008 front page
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Stat 153 - 16 Sept 2008 D. R. Brillinger Chapter 3 mean function variance function autocovariance
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Strictly stationary Normal/gaussian - all joint distributions jointly normal Wide sense stationary vs. second-order
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Properties of autocovariance
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Useful models Purely random Building block
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Random walk not stationary
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*
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Moving average, MA(q) From * stationary
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Backward shift operator Linear process. Need convergence condition
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autoregressive process, AR(p) first-order, AR(1) Markov Linear process For convergence/stationarity *
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a.c.f. From * p.a.c.f.
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In general case, Very useful for prediction
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ARMA(p,q)
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ARIMA(p,d,q).
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Yule-Walker equations for AR(p). Correlate, with X t-k, each side of For AR(1)
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