(a) Distinguish a stochastic from a deterministic trend in time-series data. (b) Consider the following time-series process: Y = Yt-1+ €t, with e ~ N (0, o²) and t = 0, · . · , T i. Why is this process called a random walk?

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QUESTION 5
(a) Distinguish a stochastic from a deterministic trend in time-series data.
(b) Consider the following time-series process:
Y; = Y;-1 + €t, with ɛ ~ N(0, o²) and t = 0, -.. ,T
%3D
i. Why is this process called a random walk?
ii. Show that this process has time-dependent variance.
Transcribed Image Text:QUESTION 5 (a) Distinguish a stochastic from a deterministic trend in time-series data. (b) Consider the following time-series process: Y; = Y;-1 + €t, with ɛ ~ N(0, o²) and t = 0, -.. ,T %3D i. Why is this process called a random walk? ii. Show that this process has time-dependent variance.
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