The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences
We study the strong consistency of estimator of fixed design regression model under negatively dependent sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the strong consistency for the nearest neighbor estimator is obtained.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/521618 |
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| _version_ | 1832562495248662528 |
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| author | Xuejun Wang Meimei Ge Shuhe Hu Xize Wang |
| author_facet | Xuejun Wang Meimei Ge Shuhe Hu Xize Wang |
| author_sort | Xuejun Wang |
| collection | DOAJ |
| description | We study the strong consistency of estimator of fixed design regression model under negatively dependent sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the strong consistency for the nearest neighbor estimator is obtained. |
| format | Article |
| id | doaj-art-b13d50c13d544ee4870adc189af6744b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b13d50c13d544ee4870adc189af6744b2025-02-03T01:22:33ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/521618521618The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent SequencesXuejun Wang0Meimei Ge1Shuhe Hu2Xize Wang3School of Mathematical Science, Anhui University, Hefei 230601, ChinaSchool of Mathematical Science, Anhui University, Hefei 230601, ChinaSchool of Mathematical Science, Anhui University, Hefei 230601, ChinaSchool of Mathematical Science, Anhui University, Hefei 230601, ChinaWe study the strong consistency of estimator of fixed design regression model under negatively dependent sequences by using the classical Rosenthal-type inequality and the truncated method. As an application, the strong consistency for the nearest neighbor estimator is obtained.http://dx.doi.org/10.1155/2013/521618 |
| spellingShingle | Xuejun Wang Meimei Ge Shuhe Hu Xize Wang The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences Abstract and Applied Analysis |
| title | The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences |
| title_full | The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences |
| title_fullStr | The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences |
| title_full_unstemmed | The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences |
| title_short | The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences |
| title_sort | strong consistency of the estimator of fixed design regression model under negatively dependent sequences |
| url | http://dx.doi.org/10.1155/2013/521618 |
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