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Dissertations and Theses Collection (Open Access)

Long memory

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Essays On Long Memory Time Series And Panel Models, Shuyao Ke Jun 2022

Essays On Long Memory Time Series And Panel Models, Shuyao Ke

Dissertations and Theses Collection (Open Access)

This dissertation studies different long memory models. The first chapter considers a time series regression model where both the regressors and error term are locally stationary long memory processes with time-varying memory parameters, and the regression coefficients are also allowed to be time-varying. We consider a frequency-domain least squares estimator with kernelized discrete Fourier transform and derive its pointwise asymptotic normality and uniform consistency. A specification test on the constancy of coefficients is provided. The second chapter studies a linear regression panel data model with interactive fixed effects where the regressors, factors and idiosyncratic error terms are all stationary but …


Three Essays On Nonstationary Time Series Econometrics, Yiu Lim Lui Apr 2020

Three Essays On Nonstationary Time Series Econometrics, Yiu Lim Lui

Dissertations and Theses Collection (Open Access)

This dissertation comprises three papers that separately study different nonstationary time series models.

The first paper, titled as "The Grid Bootstrap for Continuous Time Models", is a joint work with Professor Jun Yu and Professor Weilin Xiao. It considers the grid bootstrap for constructing confidence intervals for the persistence parameter in a class of continuous-time models driven by a Lévy process. Its asymptotic validity is discussed under the assumption that the sampling interval (h) shrinks to zero, the time span (N) goes to infinity or both. Its improvement over the in-fill asymptotic theory is achieved by expanding the coefficient-based statistic …