Algorithms for Linear Time Series Analysis: With R Package

Our ltsa package implements the Durbin-Levinson and Trench algorithms and provides a general approach to the problems of fitting, forecasting and simulating linear time series models as well as fitting regression models with linear time series errors. For computational efficiency both algorithms are...

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Main Authors: A. Ian McLeod, Hao Yu, Zinovi L. Krougly
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2007-11-01
Series:Journal of Statistical Software
Subjects:
Online Access:http://www.jstatsoft.org/v23/i05/paper
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author A. Ian McLeod
Hao Yu
Zinovi L. Krougly
author_facet A. Ian McLeod
Hao Yu
Zinovi L. Krougly
author_sort A. Ian McLeod
collection DOAJ
description Our ltsa package implements the Durbin-Levinson and Trench algorithms and provides a general approach to the problems of fitting, forecasting and simulating linear time series models as well as fitting regression models with linear time series errors. For computational efficiency both algorithms are implemented in C and interfaced to R. Examples are given which illustrate the efficiency and accuracy of the algorithms. We provide a second package FGN which illustrates the use of the ltsa package with fractional Gaussian noise (FGN). It is hoped that the ltsa will provide a base for further time series software.
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spelling doaj.art-4a45c47cf71c40a8aa436941db21f5b92022-12-22T00:13:22ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602007-11-01235Algorithms for Linear Time Series Analysis: With R PackageA. Ian McLeodHao YuZinovi L. KrouglyOur ltsa package implements the Durbin-Levinson and Trench algorithms and provides a general approach to the problems of fitting, forecasting and simulating linear time series models as well as fitting regression models with linear time series errors. For computational efficiency both algorithms are implemented in C and interfaced to R. Examples are given which illustrate the efficiency and accuracy of the algorithms. We provide a second package FGN which illustrates the use of the ltsa package with fractional Gaussian noise (FGN). It is hoped that the ltsa will provide a base for further time series software.http://www.jstatsoft.org/v23/i05/paperexact maximum likelihood estimationforecastingfractional Gaussian noisein- verse symmetric Toeplitz matrixlong memory and the Nile river minimatime series regressiontime series simulation
spellingShingle A. Ian McLeod
Hao Yu
Zinovi L. Krougly
Algorithms for Linear Time Series Analysis: With R Package
Journal of Statistical Software
exact maximum likelihood estimation
forecasting
fractional Gaussian noise
in- verse symmetric Toeplitz matrix
long memory and the Nile river minima
time series regression
time series simulation
title Algorithms for Linear Time Series Analysis: With R Package
title_full Algorithms for Linear Time Series Analysis: With R Package
title_fullStr Algorithms for Linear Time Series Analysis: With R Package
title_full_unstemmed Algorithms for Linear Time Series Analysis: With R Package
title_short Algorithms for Linear Time Series Analysis: With R Package
title_sort algorithms for linear time series analysis with r package
topic exact maximum likelihood estimation
forecasting
fractional Gaussian noise
in- verse symmetric Toeplitz matrix
long memory and the Nile river minima
time series regression
time series simulation
url http://www.jstatsoft.org/v23/i05/paper
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AT haoyu algorithmsforlineartimeseriesanalysiswithrpackage
AT zinovilkrougly algorithmsforlineartimeseriesanalysiswithrpackage