| dc.contributor.author | Asghari, P. | en_US |
| dc.contributor.author | Fakoor, V. | en_US |
| dc.contributor.author | Sarmad, M. | en_US |
| dc.date.accessioned | 1399-07-09T01:17:29Z | fa_IR |
| dc.date.accessioned | 2020-09-30T01:17:29Z | |
| dc.date.available | 1399-07-09T01:17:29Z | fa_IR |
| dc.date.available | 2020-09-30T01:17:29Z | |
| dc.date.issued | 2015-09-01 | en_US |
| dc.date.issued | 1394-06-10 | fa_IR |
| dc.date.submitted | 2014-07-12 | en_US |
| dc.date.submitted | 1393-04-21 | fa_IR |
| dc.identifier.citation | Asghari, P., Fakoor, V., Sarmad, M.. (2015). A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data. Journal of Sciences, Islamic Republic of Iran, 26(3), 265-272. | en_US |
| dc.identifier.issn | 1016-1104 | |
| dc.identifier.issn | 2345-6914 | |
| dc.identifier.uri | https://jsciences.ut.ac.ir/article_55314.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/196043 | |
| dc.description.abstract | <span>Length-biased data are widely seen in applications. They are mostly applicable in epidemiological studies or survival analysis in medical researches. Here we aim to propose a Berry-Esseen type bound for the kernel density estimator of this kind of data.The rate of normal convergence in the proposed Berry-Esseen type theorem is shown to be O(n^(-1/6) ) modulo logarithmic term as n tends to infinity by a proper choice of the bandwidth.The results of a simulation study is also presented in this paper inorder to examine the performance of the result. </span> | en_US |
| dc.format.extent | 295 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | University of Tehran | en_US |
| dc.relation.ispartof | Journal of Sciences, Islamic Republic of Iran | en_US |
| dc.subject | Asymptotic normality | en_US |
| dc.subject | Berry-Esseen theorem | en_US |
| dc.subject | Kernel estimator | en_US |
| dc.subject | Rate of convergence | en_US |
| dc.subject | Length-biased | en_US |
| dc.title | A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data | en_US |
| dc.type | Text | en_US |
| dc.type | Original Paper | en_US |
| dc.contributor.department | Department of Statistics, Faculty of Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran. | en_US |
| dc.contributor.department | Department of Statistics, Faculty of Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran. | en_US |
| dc.contributor.department | Department of Statistics, Faculty of Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran. | en_US |
| dc.citation.volume | 26 | |
| dc.citation.issue | 3 | |
| dc.citation.spage | 265 | |
| dc.citation.epage | 272 | |
