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Social and Behavioral Sciences Commons™
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Full-Text Articles in Social and Behavioral Sciences
Long Memory And Long Run Variation, Peter C.B. Phillips
Long Memory And Long Run Variation, Peter C.B. Phillips
Cowles Foundation Discussion Papers
A commonly used defining property of long memory time series is the power law decay of the autocovariance function. Some alternative methods of deriving this property are considered working from the alternate definition in terms of a fractional pole in the spectrum at the origin. The methods considered involve the use of (i) Fourier transforms of generalized functions, (ii) asymptotic expansions of Fourier integrals with singularities, (iii) direct evaluation using hypergeometric function algebra, and (iv) conversion to a simple gamma integral. The paper is largely pedagogical but some novel methods and results involving complete asymptotic series representations are presented. The …
Optimal Bandwidth Choice For Interval Estimation In Gmm Regression, Yixiao Sun, Peter C.B. Phillips
Optimal Bandwidth Choice For Interval Estimation In Gmm Regression, Yixiao Sun, Peter C.B. Phillips
Cowles Foundation Discussion Papers
In time series regression with nonparametrically autocorrelated errors, it is now standard empirical practice to construct confidence intervals for regression coefficients on the basis of nonparametrically studentized t -statistics. The standard error used in the studentization is typically estimated by a kernel method that involves some smoothing process over the sample autocovariances. The underlying parameter ( M ) that controls this tuning process is a bandwidth or truncation lag and it plays a key role in the finite sample properties of tests and the actual coverage properties of the associated confidence intervals. The present paper develops a bandwidth choice rule …