Let {Yt} be an AR(2) process of the special form Yt = φ2Yt − 2 + et. Use first principles to find the range of values of φ2 for which the process is stationary.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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  1. Let {Yt} be an AR(2) process of the special form Yt = φ2Yt − 2 + et. Use first principles

to find the range of values of φ2 for which the process is stationary.

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