hat Xt = 1+ Z + 0(ZŁ-1+ Zt-2+ • · · +) %3D hite noise with mean zero and variance one. ationary for all values of 0 ? Justify your answer. = Xt – Xt-1. Is Y; stationary ? Justify it.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose that
X = 1+ Z + 0(ZŁ-1+ Zł-2+ ·+)
..
't-
where Z, is white noise with mean zero and variance one.
(i) Is X stationary for all values of 0 ? Justify your answer.
(ii) Let Y; = Xt – Xt-1. Is Y; stationary ? Justify it.
Transcribed Image Text:Suppose that X = 1+ Z + 0(ZŁ-1+ Zł-2+ ·+) .. 't- where Z, is white noise with mean zero and variance one. (i) Is X stationary for all values of 0 ? Justify your answer. (ii) Let Y; = Xt – Xt-1. Is Y; stationary ? Justify it.
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