scholarly journals Model Selection and Estimation of Long-Memory Time-Series Models

2008 ◽  
Author(s):  
Katelijne A. E. Carbonez
Keyword(s):  
Time Series ◽  
Model Selection ◽  
Long Memory ◽  
Time Series Models ◽  
Memory Time

scholarly journals Confidence Regions for Parameters in Stationary Time Series Models With Gaussian Noise

2022 ◽  
Vol 9 ◽  
Author(s):  
Xiuzhen Zhang ◽  
Riquan Zhang ◽  
Zhiping Lu
Keyword(s):  
Time Series ◽  
Empirical Likelihood ◽  
Long Memory ◽  
Score Function ◽  
Real Data ◽  
Confidence Regions ◽  
Stationary Time Series ◽  
Time Series Models ◽  
Finite Sample ◽  
Memory Time

This article develops two new empirical likelihood methods for long-memory time series models based on adjusted empirical likelihood and mean empirical likelihood. By application of Whittle likelihood, one obtains a score function that can be viewed as the estimating equation of the parameters of the long-memory time series model. An empirical likelihood ratio is obtained which is shown to be asymptotically chi-square distributed. It can be used to construct confidence regions. By adding pseudo samples, we simultaneously eliminate the non-definition of the original empirical likelihood and enhance the coverage probability. Finite sample properties of the empirical likelihood confidence regions are explored through Monte Carlo simulation, and some real data applications are carried out.

A class of nearly long-memory time series models

2002 ◽  
Vol 18 (2) ◽  
pp. 265-281 ◽  
Author(s):  
F.Jay Breidt ◽  
Nan-Jung Hsu
Keyword(s):  
Time Series ◽  
Long Memory ◽  
Time Series Models ◽  
Memory Time
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