Asymptotic properties of least squares estimator in local to unity processes with fractional Gaussian noises

This paper derives asymptotic properties of the least squares estimator of the autoregressive parameter in local to unity processes with errors being fractional Gaussian noises with the Hurst parameter H. It is shown that the estimator is consistent when H ∈ (0, 1). Moreover, the rate of convergence...

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Bibliographic Details
Main Authors: WANG, Xiaohu, XIAO, Weilin, Jun YU
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2020
Subjects:
Online Access:https://ink.library.smu.edu.sg/soe_research/2458
https://ink.library.smu.edu.sg/context/soe_research/article/3457/viewcontent/FOU08_.pdf
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Institution: Singapore Management University
Language: English