Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences
We study the complete consistency for estimator of nonparametric regression model based on ρ~-mixing sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the complete consistency for the nearest neighbor estimator is obtained.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/907286 |
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| _version_ | 1832551563473715200 |
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| author | Xuejun Wang Fengxi Xia Meimei Ge Shuhe Hu Wenzhi Yang |
| author_facet | Xuejun Wang Fengxi Xia Meimei Ge Shuhe Hu Wenzhi Yang |
| author_sort | Xuejun Wang |
| collection | DOAJ |
| description | We study the complete consistency for estimator of nonparametric regression model based on ρ~-mixing sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the complete consistency for the nearest neighbor estimator is obtained. |
| format | Article |
| id | doaj-art-beb3779e2aee406eb4ca5a100dfd8e35 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-beb3779e2aee406eb4ca5a100dfd8e352025-02-03T06:01:11ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/907286907286Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing SequencesXuejun Wang0Fengxi Xia1Meimei Ge2Shuhe Hu3Wenzhi Yang4School of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaWe study the complete consistency for estimator of nonparametric regression model based on ρ~-mixing sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the complete consistency for the nearest neighbor estimator is obtained.http://dx.doi.org/10.1155/2012/907286 |
| spellingShingle | Xuejun Wang Fengxi Xia Meimei Ge Shuhe Hu Wenzhi Yang Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences Abstract and Applied Analysis |
| title | Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences |
| title_full | Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences |
| title_fullStr | Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences |
| title_full_unstemmed | Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences |
| title_short | Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences |
| title_sort | complete consistency of the estimator of nonparametric regression models based on ρ mixing sequences |
| url | http://dx.doi.org/10.1155/2012/907286 |
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