Jln the conditions on the bandwidth parameter ln

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Unformatted text preview: ure that, as the sample size grows, the window width goes to zero, but includes an infinite number of terms. The conditions on the spectral window function Wn ensure that ^ the expectation of f () converges to f () and its variance converges to zero. 8 Consistency of nonparametric spectral estimation ^ E f () = |j|Ln Wn (j)E I(^(n) - j/n) Wn (j)f () = f (). ^ Var f () = |j|Ln j,k Wn (j)Wn (k)Cov I(^(n) - j/n), I(^(n) - k/n) 2 Wn (j)Var I(^(n) - j/n) 2 Wn (j) 0. j f 2 () j 9 Introduction to Time Series Analysis. Lecture 21. 1. Re...
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