2. Show that the AR(3) process Y, = B, + B,Y,-1 + B,Y,-2 + B3Y-3 +ɛ, can be written as AY, = B, + pY,-1 +8,AY-1 +8,AY_2 + ɛ, %3D where p = B + B, + ß, –1. Find expressions for & and &, in terms of the ß’s.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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2.
Show that the AR(3) process
Y, = Bo + B,Y,-1 + B,Y,-2 + B3Y,-3 + &,
%3D
can be written as
AY, = Bo+ pY,-1 + 8,AY-1 + 8,AY,-2 + ɛ,
where p= B + B, + ßz –1. Find expressions for 8, and 8, in terms of the B's.
Transcribed Image Text:2. Show that the AR(3) process Y, = Bo + B,Y,-1 + B,Y,-2 + B3Y,-3 + &, %3D can be written as AY, = Bo+ pY,-1 + 8,AY-1 + 8,AY,-2 + ɛ, where p= B + B, + ßz –1. Find expressions for 8, and 8, in terms of the B's.
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