Consistency of k-nearest Neighbor Regression Estimator under mixing condition with tie-breaking by randomization

Authors

  • Mohamed Deribati Tishreen University
  • Wafaa kanaan Tishreen University
  • Dema Al-shakh Tishreen University

Abstract

In most researches that have studied the consistency of nonparametric k-nearest neighbors estimator have been depended on tie breaking by indices strategy. We hope in this paper to study the regression function estimation by using nonparametric k-nearest neighbors estimation under strong mixing concept. Where the consistency results of k-nearest neighbor regression estimator in  have been expanded as independent case to the dependent case with using tie breaking by randomization instead of indices strategy.

 

Author Biographies

Mohamed Deribati, Tishreen University

Assistant Prof., Depart. Of Mathematical Statistics, Faculty of Science

Wafaa kanaan, Tishreen University

Prof., Depart. Of Mathematical Statistics, Faculty of Science

Dema Al-shakh, Tishreen University

Postgraduate student, Depart. Of Mathematical Statistics

Downloads

Published

2022-06-16

How to Cite

1.
محمد دريباتي, وفاء كنعان, ديمه الشاخ. Consistency of k-nearest Neighbor Regression Estimator under mixing condition with tie-breaking by randomization. TUJ-BA [Internet]. 2022Jun.16 [cited 2024Apr.19];44(2):115-2. Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/12725

Issue

Vol. 44 No. 2 (2022): Tishreen University Journal of Research and Scientific Studies - Basic Sciences Series

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.