2017
DOI: 10.1080/03610926.2017.1310240
|View full text |Cite
|
Sign up to set email alerts
|

Testing for residual correlation of any order in the autoregressive process

Abstract: We are interested in the implications of a linearly autocorrelated driven noise on the asymptotic behavior of the usual least squares estimator in a stable autoregressive process. We show that the least squares estimator is not consistent and we suggest a sharp analysis of its almost sure limiting value as well as its asymptotic normality. We also establish the almost sure convergence and the asymptotic normality of the estimated serial correlation parameter of the driven noise. Then, we derive a statistical p… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
3

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(1 citation statement)
references
References 43 publications
0
1
0
Order By: Relevance
“…Perform a Durbin-Watson (D-W) test on the model to test the first-order autocorrelation of the model and construct statistics [35,36]:…”
Section: Model Accuracy Testmentioning
confidence: 99%
“…Perform a Durbin-Watson (D-W) test on the model to test the first-order autocorrelation of the model and construct statistics [35,36]:…”
Section: Model Accuracy Testmentioning
confidence: 99%