Time series

Discussion in 'CS2' started by Laura, Mar 20, 2022.

  1. Laura

    Laura Very Active Member

    Hi all,

    Had a question I wanted to clarify as follows:-
    If Y_t =at + sum (i=1 to t) e_i
    Then why would Y_(t-s) =as + sum (i=1 to t-s) e_i

    I'm not sure why the term is "as" instead of "a(t-s)"

    Thanks!
     
  2. Andrew Martin

    Andrew Martin ActEd Tutor Staff Member

    Hi Laura

    I think I agree with with you here as you've written it. Where are you seeing this in the course?

    Thanks

    Andy
     
  3. Laura

    Laura Very Active Member

    Hi Andy,
    It's from Q6ii CT6 2010 Apr in the expansion of the cov(y_t, y_(t-s)).
    I'm not sure why the term is "as" instead of "a(t-s)" in this case.

    Thanks!
     
  4. Andrew Martin

    Andrew Martin ActEd Tutor Staff Member

    Hi Laura

    Appears to be a typo in the Examiners' report here. What you had is correct. The final answer is still \( (t-s) \sigma^2 \)

    Hope this helps!

    Andy
     
  5. Laura

    Laura Very Active Member

    Thanks for your help Andy!
     

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