A time series process of the form y, = a +y₁_1 + V₁₂ V₁ ~ N(0, ²) can be rearranged as y, -₁-1 = Ay₁ = a + v₁. This shows that y, is integrated of order one, since its first difference is stationary. Show that a time series of the form y, = 2y-1-y-2+a+v, is integrated of order two.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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12.3 A time series process of the form y₁ = a +y₁-1 + V₁, V, ~ N(0, ²) can be
rearranged as y, -Y₁-1 = Ay₁ = a + v,. This shows that y, is integrated of order
one, since its first difference is stationary. Show that a time series of the form y,
2y-1-y-2 + a + v, is integrated of order two.
=
Transcribed Image Text:12.3 A time series process of the form y₁ = a +y₁-1 + V₁, V, ~ N(0, ²) can be rearranged as y, -Y₁-1 = Ay₁ = a + v,. This shows that y, is integrated of order one, since its first difference is stationary. Show that a time series of the form y, 2y-1-y-2 + a + v, is integrated of order two. =
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