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Barely-stationary \(\mathrm{AR}(1)\) sequences near random walk

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Publication:2132026
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DOI10.1007/s42952-021-00124-6zbMath1484.62113OpenAlexW3162570446MaRDI QIDQ2132026

Tae Yoon Kim, Sun Young Hwang

Publication date: 27 April 2022

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42952-021-00124-6


zbMATH Keywords

varying coefficientbarely-stationary \(\mathrm{AR}(1)\)two-sided test for random walk


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10)




Cites Work

  • Unnamed Item
  • Limit theory for moderate deviations from a unit root
  • Asymptotic inference for nearly nonstationary AR(1) processes
  • Asymptotic optimal inference for a class of nonlinear time series models
  • Least squares estimation for critical random coefficient first-order autoregressive processes
  • The Parameter Inference for Nearly Nonstationary Time Series
  • Weak convergence to fractional brownian motion and to the rosenblatt process
  • Slow-explosive AR(1) processes converging to random walk
  • Non-ergodic martingale estimating functions and related asymptotics
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