AR(1) Autoregressive Process: Mean, Autocovariances, ACF

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  • Опубликовано: 24 дек 2024

Комментарии • 9

  • @Alex-sy4gg
    @Alex-sy4gg 5 месяцев назад +1

    could u explain how u got the first term at 4:13?

    • @Econ1405
      @Econ1405  4 месяца назад

      Could you write which part of the equation is not clear?

  • @Afrikansalt-lyricsworld
    @Afrikansalt-lyricsworld 7 месяцев назад +2

    Where did c disappear to in minute 2.17?

    • @Econ1405
      @Econ1405  7 месяцев назад

      at minute 1:34 I substitute the c with c= mu(1-phi)

  • @diogolamounier
    @diogolamounier 3 месяца назад +1

    Why var(y_t-1) equals var(y_t)? Why 2ϕ(y_t-1 - μ)e_t equals zero?

    • @Econ1405
      @Econ1405  3 месяца назад +1

      1) Since the process is stationary, the variance is the same in each period. 2) Since e_t is white noise it cannot be correlated to past values such as y_t-1

  • @user-xe1lx1pg9q
    @user-xe1lx1pg9q Год назад +1

    What if we have c=0 ?

    • @Econ1405
      @Econ1405  Год назад +1

      The expected value will be 0 as 0/(1-phi)=0

    • @Econ1405
      @Econ1405  Год назад

      The other moments will be the same.