KOLÁČEK, Jan. Boundary effects for densities and distribution functions. In Summer School DATASTAT 06. Brno: Masaryk University, 2007, p. 141-148. ISBN 978-80-210-4493-7.
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Basic information
Original name Boundary effects for densities and distribution functions
Name in Czech Hraniční efekty pro hustoty a distribuční funkce
Authors KOLÁČEK, Jan (203 Czech Republic, guarantor).
Edition Brno, Summer School DATASTAT 06, p. 141-148, 8 pp. 2007.
Publisher Masaryk University
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/07:00021857
Organization unit Faculty of Science
ISBN 978-80-210-4493-7
Keywords in English kernel estimation; reflection method;distribution estimation
Tags distribution estimation, kernel estimation, reflection method
Tags Reviewed
Changed by Changed by: doc. Mgr. Jan Koláček, Ph.D., učo 19999. Changed: 19/12/2007 14:31.
Abstract
It is well known now that kernel distribution estimators are not consistent when estimating a distribution near the finite end points of the support of the distribution function to be estimated. This is due to boundary effects that occur in nonparametric curve estimation problems. To avoid these difficulties we use the technique, which is a kind of generalized reflection method involving reflecting a transformation of the data.
Abstract (in Czech)
Je známo, že jádrové odhady distribučních funkcí nejsou konzistentní v bodech blízko hranice nosiče distribuční funkce, resp. příslušné hustoty. To je způsobeno tzv. "hraničními efekty", které nastávají při neparametrických odhadech křivek. Abychom potlačili tyto efekty, je zde použito techniky, která je zobecněnou reflexní metodou. Tato metoda spočívá v zrcadlení transformovaných dat.
Links
LC06024, research and development projectName: Centrum Jaroslava Hájka pro teoretickou a aplikovanou statistiku
Investor: Ministry of Education, Youth and Sports of the CR, Jaroslav Hájek Center for Theoretical and Applied Statistics
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