Asymptotics for the partial autocorrelation function of a stationary process
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Publication:1591320
DOI10.1007/BF02788986zbMath0971.60039OpenAlexW1975379694MaRDI QIDQ1591320
Publication date: 19 March 2001
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02788986
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Stationary stochastic processes (60G10)
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Cites Work
- On the theory of discrete KMO-Langevin equations with reflection positivity. I
- The Alder-Wainwright effect for stationary processes with reflection positivity
- Time series: theory and methods.
- The Alder-Wainwright effect for stationary processes with reflection positivity. II
- Trace formulas for a class of Toeplitz-like operators
- Prediction d'un processus stationnaire du second ordre de covariance connue sur un intervalle fini
- A problem in trigonometric approximation theory
- Abel-Tauber theorems for Fourier-Stieltjes coefficients
- Regularly varying correlation functions and KMO-Langevin equations
- On Abel-Tauber theorems for Fourier cosine transforms
- Weighted trigonometrical approximation on \(R^ 1\) with application to the germ field of a stationary Gaussian noise
- Fractional differencing
- AN INTRODUCTION TO LONG-MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING
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