Estimation of weak ARMA models with regime changes

被引：0
作者：
Yacouba Boubacar Maïnassara
Landy Rabehasaina
机构：
[1] Université Bourgogne Franche-Comté,Laboratoire de mathématiques de Besançon, UMR CNRS 6623
来源：
Statistical Inference for Stochastic Processes | 2020年 / 23卷
关键词：
Least square estimation; Random coefficients; Weak ARMA models; Primary 62M10; 62F03; 62F05; Secondary 91B84; 62P05;
D O I：
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学科分类号：
摘要：
In this paper we derive the asymptotic properties of the least squares estimator (LSE) of autoregressive moving-average (ARMA) models with regime changes under the assumption that the errors are uncorrelated but not necessarily independent. Relaxing the independence assumption considerably extends the range of application of the class of ARMA models with regime changes. Conditions are given for the consistency and asymptotic normality of the LSE. A particular attention is given to the estimation of the asymptotic covariance matrix, which may be very different from that obtained in the standard framework. The theoretical results are illustrated by means of Monte Carlo experiments.
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页码：1 / 52
页数：51
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[11]   Generalized duration models and optimal estimation using estimating functions [J].
Thavaneswaran, Aerambamoorthy ;
Ravishanker, Nalini ;
Liang, You .
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2015, 67 (01) :129-156
[12]   Generalized duration models and optimal estimation using estimating functions [J].
Aerambamoorthy Thavaneswaran ;
Nalini Ravishanker ;
You Liang .
Annals of the Institute of Statistical Mathematics, 2015, 67 :129-156
[13]   A simple way to reduce estimation bias in some dynamic choice models [J].
Degeratu, AM .
MARKETING LETTERS, 2001, 12 (03) :271-278
[14]   A Simple Way to Reduce Estimation Bias in Some Dynamic Choice Models [J].
Alexandru M. Degeratu .
Marketing Letters, 2001, 12 :271-278
[15]   Estimation of Random Coefficient Multilevel Models in the Context of Small Numbers of Level 2 Clusters [J].
Bolin, Jocelyn H. ;
Finch, W. Holmes ;
Stenger, Rachel .
EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 2019, 79 (02) :217-248
[16]   Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects [J].
Rabe-Hesketh, S ;
Skrondal, A ;
Pickles, A .
JOURNAL OF ECONOMETRICS, 2005, 128 (02) :301-323
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