Asymptotic Properties of OLS Estimates in Autoregressions with Bounded or Slowly Growing Deterministic Trends

DOI10.1080/03610920500476549zbMath1101.62076OpenAlexW2037655010MaRDI QIDQ5201508

Kairat T. Mynbaev

Publication date: 19 April 2006

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://mpra.ub.uni-muenchen.de/18448/1/MPRA_paper_18448.pdf

zbMATH Keywords

autoregressiondeterministic trendOLS estimator asymptotics

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10)

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Cites Work

• Unnamed Item
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• Asymptotic distributions of regression and autoregression coefficients with martingale difference disturbances
• Trend stationarity in the \(I(2)\) cointegration model.
• Dependent central limit theorems and invariance principles
• S‐Estimation in the Linear Regression Model with Long‐memory Error Terms Under Trend
• Inference in Linear Time Series Models with some Unit Roots
• Seasonal Moving‐average Unit Root Tests in the Presence of a Linear Trend
• Nonlinear Econometric Models with Deterministically Trending Variables
• On the $L_p$-Convergence for $n^{-1/p} S_n, 0 < p < 2^1$
• \(L_p\)-approximable sequences of vectors and limit distribution of quadratic forms of random variables