Neas-Seminars

TS Module 6: Stationary autoregressive processes HW


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By NEAS - 12/4/2009 6:11:14 AM

TS Module 6: Stationary autoregressive processes HW

 

(The attached PDF file has better formatting.)

 

Homework assignment: AR(2) process

 

An AR(2) process has ö1 = 0.2 or –0.2 and ö2 = ranging

 


           from 0.2 to 0.7 in steps of 0.1.

           from –0.2 to –0.9 in steps of –0.1.


 

 

Complete the table below, showing ñ1 and ñ2, the autocorrelations of lags 1 and 2. Use an Excel spreadsheet (or other software) and form the table by coding the cell formulas. Print the Excel spreadsheet and send it in as your homework assignment.

 

ö1

ö2

ñ1

ñ2

ö1

ö2

ñ1

ñ2

0.2

0.2

 

 

-0.2

0.2

 

 

0.2

0.3

 

 

-0.2

0.3

 

 

0.2

0.4

 

 

-0.2

0.4

 

 

0.2

0.5

 

 

-0.2

0.5

 

 

0.2

0.6

 

 

-0.2

0.6

 

 

0.2

0.7

 

 

-0.2

0.7

 

 

0.2

-0.2

 

 

-0.2

-0.2

 

 

0.2

-0.3

 

 

-0.2

-0.3

 

 

0.2

-0.4

 

 

-0.2

-0.4

 

 

0.2

-0.5

 

 

-0.2

-0.5

 

 

0.2

-0.6

 

 

-0.2

-0.6

 

 

0.2

-0.7

 

 

-0.2

-0.7

 

 

0.2

-0.8

 

 

-0.2

-0.8

 

 

0.2

-0.9

 

 

-0.2

-0.9

 

 

 

By yurky87 - 6/17/2012 9:57:35 AM

                              nhanewinckel,

I agree with the solutions that you posted.

For Phi1 = .2, Phi2 = .4 (third row) I got rho1 = .33333 and rho2 = .46666667
For Phi1 = -.2, Phi2 = -.8 (second last row), I got rho1 = -.1111111 and rho2 = -.77777778