Estimation and information in stationary time series
Open Access
- 1 August 1953
- journal article
- Published by International Press of Boston in Arkiv för Matematik
- Vol. 2 (5), 423-434
- https://doi.org/10.1007/bf02590998
Abstract
Summary:Gaussian semiparametric or local Whittle estimation of the memory parameter in standard long memory processes was proposed by Robinson [18]. This technique shows several advantages over the popular log- periodogram regression introduced by Geweke and Porter–Hudak [7]. In particular under milder assumptions than those needed in the log periodogram regression it is asymptotically more efficient. We analyse the asymptotic behaviour of the Gaussian semiparametric estimate of the memory parameter in seasonal or cyclical long memory processes allowing for asymmetric spectral divergences or zeros. Consistency and asymptotic normality are obtainedKeywords
This publication has 3 references indexed in Scilit:
- Extrapolation, Interpolation, and Smoothing of Stationary Time SeriesPublished by MIT Press ,1949
- Most Powerful Tests of Composite Hypotheses. I. Normal DistributionsThe Annals of Mathematical Statistics, 1948
- Tests of statistical hypotheses concerning several parameters when the number of observations is largeTransactions of the American Mathematical Society, 1943