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Strong Consistency of Estimators in a Partially Linear Model with Asymptotically Almost Negatively Associated Errors
Joint Authors
Liu, Xinsheng
Sief, Mohamed
Zhang, Yu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-15
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper studies a heteroscedastic partially linear regression model in which the errors are asymptotically almost negatively associated (AANA, in short) random variables with not necessarily identical distribution and zero mean.
Under some mild conditions, we establish the strong consistency of least squares estimators, weighted least squares estimators, and the ultimate weighted least squares estimators for the unknown parameter, respectively.
In addition, the strong consistency of the estimator for nonparametric component is also investigated.
The results derived in the paper include the corresponding ones of independent random errors and some dependent random errors as special cases.
At last, two simulations are carried out to study the numerical performance of the strong consistency for least squares estimators and weighted least squares estimators of the unknown parametric and nonparametric components in the model.
American Psychological Association (APA)
Zhang, Yu& Liu, Xinsheng& Sief, Mohamed. 2020. Strong Consistency of Estimators in a Partially Linear Model with Asymptotically Almost Negatively Associated Errors. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1152934
Modern Language Association (MLA)
Zhang, Yu…[et al.]. Strong Consistency of Estimators in a Partially Linear Model with Asymptotically Almost Negatively Associated Errors. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1152934
American Medical Association (AMA)
Zhang, Yu& Liu, Xinsheng& Sief, Mohamed. Strong Consistency of Estimators in a Partially Linear Model with Asymptotically Almost Negatively Associated Errors. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1152934
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152934