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Differencing as an approximate de-trending device

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Publication:1117657
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DOI10.1016/0304-4149(89)90091-4zbMath0667.62069OpenAlexW2066969184MaRDI QIDQ1117657

Jeffrey D. Hart

Publication date: 1989

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(89)90091-4


zbMATH Keywords

time seriesspectrumkernel regressionFourier coefficientsperiodogramcovariance estimationstrictly stationary processconsistent estimatorsTapering


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Inference from stochastic processes and spectral analysis (62M15)


Related Items (4)

Seasonality analysis of time series in partial linear models ⋮ Estimating fractional cointegration in the presence of polynomial trends ⋮ Detecting objects hidden in the subsoil by a mathematical method. ⋮ Model combination in neural-based forecasting



Cites Work

  • The maximum of the periodogram
  • A functional limit theorem for tapered empirical spectral functions
  • SPECTRAL ANALYSIS WITH TAPERED DATA
  • Residual variance and residual pattern in nonlinear regression
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