A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data
Abstract In many applications, the available data come from a sampling scheme that causes loss of information in terms of left truncation. In some cases, in addition to left truncation, the data are weakly dependent. In this paper we are interested in deriving the asymptotic normality as well as a B...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1272-0 |
| _version_ | 1829498388051132416 |
|---|---|
| author | Petros Asghari Vahid Fakoor |
| author_facet | Petros Asghari Vahid Fakoor |
| author_sort | Petros Asghari |
| collection | DOAJ |
| description | Abstract In many applications, the available data come from a sampling scheme that causes loss of information in terms of left truncation. In some cases, in addition to left truncation, the data are weakly dependent. In this paper we are interested in deriving the asymptotic normality as well as a Berry-Esseen type bound for the kernel density estimator of left truncated and weakly dependent data. |
| first_indexed | 2024-12-16T08:12:28Z |
| format | Article |
| id | doaj.art-cadf58a3f9e34870ba8dd227e1734aad |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-16T08:12:28Z |
| publishDate | 2017-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-cadf58a3f9e34870ba8dd227e1734aad2022-12-21T22:38:20ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-01-012017111910.1186/s13660-016-1272-0A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated dataPetros Asghari0Vahid Fakoor1Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of MashhadDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of MashhadAbstract In many applications, the available data come from a sampling scheme that causes loss of information in terms of left truncation. In some cases, in addition to left truncation, the data are weakly dependent. In this paper we are interested in deriving the asymptotic normality as well as a Berry-Esseen type bound for the kernel density estimator of left truncated and weakly dependent data.http://link.springer.com/article/10.1186/s13660-016-1272-0left-truncationweakly dependentasymptotic normalityBerry-Esseenα-mixing |
| spellingShingle | Petros Asghari Vahid Fakoor A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data Journal of Inequalities and Applications left-truncation weakly dependent asymptotic normality Berry-Esseen α-mixing |
| title | A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data |
| title_full | A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data |
| title_fullStr | A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data |
| title_full_unstemmed | A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data |
| title_short | A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data |
| title_sort | berry esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data |
| topic | left-truncation weakly dependent asymptotic normality Berry-Esseen α-mixing |
| url | http://link.springer.com/article/10.1186/s13660-016-1272-0 |
| work_keys_str_mv | AT petrosasghari aberryesseentypeboundforthekerneldensityestimatorbasedonaweaklydependentandrandomlylefttruncateddata AT vahidfakoor aberryesseentypeboundforthekerneldensityestimatorbasedonaweaklydependentandrandomlylefttruncateddata AT petrosasghari berryesseentypeboundforthekerneldensityestimatorbasedonaweaklydependentandrandomlylefttruncateddata AT vahidfakoor berryesseentypeboundforthekerneldensityestimatorbasedonaweaklydependentandrandomlylefttruncateddata |