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Understanding Time-Series Regression Estimators

A large number of methods have been developed for estimating time-series regression parameters. Students and practitioners have a difficult time understanding what these various methods are, let alone picking the most appropriate one for their application. This article explains how these methods are...

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Published in:The American statistician 1999-11, Vol.53 (4), p.342-348
Main Authors: Choudhury, Askar H., Hubata, Robert, St. Louis, Robert D.
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Language:English
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description A large number of methods have been developed for estimating time-series regression parameters. Students and practitioners have a difficult time understanding what these various methods are, let alone picking the most appropriate one for their application. This article explains how these methods are related. A chronology for the development of the various methods is presented, followed by a logical characterization of the methods. An examination of current computational techniques and computing power leads to the conclusion that exact maximum likelihood estimators should be used in almost all cases where regression models have autoregressive, moving average, or mixed autoregressive-moving average error structures.
doi_str_mv 10.1080/00031305.1999.10474487
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ispartof The American statistician, 1999-11, Vol.53 (4), p.342-348
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subjects Applied mathematics
Approximate and exact estimators
Autoregressive and moving average error models
Autoregressive moving average
Cholesky decomposition
Computational convenience
Econometrics
Economic models
Estimates
Estimation methods
Estimators
Exact sciences and technology
Generalized least squares and maximum likelihood estimators
Inference from stochastic processes
time series analysis
Least squares
Linear and nonlinear optimization methods
Mathematics
Maximum likelihood estimation
Parameter estimation
Parametric models
Probability and statistics
Regression analysis
Sciences and techniques of general use
Simulation
Software
Statistical methods
Statistics
Stochastic models
Time series
Time series models
Transformations to obtain uncorrelated errors
title Understanding Time-Series Regression Estimators
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