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3 mo treasury yield borrowing costs Dow industrials NY Times 18 Sept 2008 front page.

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Presentation on theme: "3 mo treasury yield borrowing costs Dow industrials NY Times 18 Sept 2008 front page."— Presentation transcript:

1 3 mo treasury yield borrowing costs Dow industrials NY Times 18 Sept 2008 front page

2 Stat 153 - 16 Sept 2008 D. R. Brillinger Chapter 3 mean function variance function autocovariance

3 Strictly stationary Normal/gaussian - all joint distributions jointly normal Wide sense stationary vs. second-order

4 Properties of autocovariance

5 Useful models Purely random Building block

6 Random walk not stationary

7 *

8 Moving average, MA(q) From * stationary

9

10 Backward shift operator Linear process. Need convergence condition

11 autoregressive process, AR(p) first-order, AR(1) Markov Linear process For convergence/stationarity *

12 a.c.f. From * p.a.c.f.

13 In general case, Very useful for prediction

14 ARMA(p,q)

15 ARIMA(p,d,q).

16

17 Yule-Walker equations for AR(p). Correlate, with X t-k, each side of For AR(1)


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