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A Stochastic Process {Xt: T = 1,2,…

Question 3

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A stochastic process {xt: t = 1,2,….} with a finite second moment [E(xt2) < A stochastic process {x<sub>t</sub>: t = 1,2,….} with a finite second moment [E(x<sub>t</sub><sup>2</sup>)  <   ] is covariance stationary if: A) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. B) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on h. C) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. D) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on 'h'. ] is covariance stationary if:


A) E(xt) is variable, Var(xt) is variable, and for any t, h A stochastic process {x<sub>t</sub>: t = 1,2,….} with a finite second moment [E(x<sub>t</sub><sup>2</sup>)  <   ] is covariance stationary if: A) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. B) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on h. C) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. D) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on 'h'. 1, Cov(xt, xt+h) depends only on 'h' and not on 't'.
B) E(xt) is variable, Var(xt) is variable, and for any t, h A stochastic process {x<sub>t</sub>: t = 1,2,….} with a finite second moment [E(x<sub>t</sub><sup>2</sup>)  <   ] is covariance stationary if: A) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. B) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on h. C) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. D) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on 'h'. 1, Cov(xt, xt+h) depends only on 't' and not on h.
C) E(xt) is constant, Var(xt) is constant, and for any t, h A stochastic process {x<sub>t</sub>: t = 1,2,….} with a finite second moment [E(x<sub>t</sub><sup>2</sup>)  <   ] is covariance stationary if: A) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. B) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on h. C) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. D) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on 'h'. 1, Cov(xt, xt+h) depends only on 'h' and not on 't'.
D) E(xt) is constant, Var(xt) is constant, and for any t, h A stochastic process {x<sub>t</sub>: t = 1,2,….} with a finite second moment [E(x<sub>t</sub><sup>2</sup>)  <   ] is covariance stationary if: A) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. B) E(x<sub>t</sub>)  is variable, Var(x<sub>t</sub>)  is variable, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on h. C) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 'h' and not on 't'. D) E(x<sub>t</sub>)  is constant, Var(x<sub>t</sub>)  is constant, and for any t, h   1, Cov(x<sub>t</sub>, x<sub>t+h</sub>)  depends only on 't' and not on 'h'. 1, Cov(xt, xt+h) depends only on 't' and not on 'h'.

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