About: Density function smoothing using discrete F-transform

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	There exist many approaches to the estimation of probability distribution function. A general principal is to reduce a noise (more precisely, a white noise) in data by means of e.g.\ stochastic processes, kernel regressions, integral transforms, wavelet transforms, or even fuzzy filters. Without applying such a method the data set would be deformed by a noise so that the resulting interpretation might be problematic or, what would be worse, misleading. Moreover, a construction of valuable models from such data is also complicated. In this paper we propose and apply a relatively new and more or less simple approach to filter a noise from data -- the fuzzy transform (F-transform) originally introduced in Perfilieva (2006). More particularly, we will introduce a filter using the direct and inverse F-transform and show that the filtered data have a smaller noise, i.e., the variance of the random variable describing a filtered data noise is smaller than the variance of the random variable expressing an o There exist many approaches to the estimation of probability distribution function. A general principal is to reduce a noise (more precisely, a white noise) in data by means of e.g.\ stochastic processes, kernel regressions, integral transforms, wavelet transforms, or even fuzzy filters. Without applying such a method the data set would be deformed by a noise so that the resulting interpretation might be problematic or, what would be worse, misleading. Moreover, a construction of valuable models from such data is also complicated. In this paper we propose and apply a relatively new and more or less simple approach to filter a noise from data -- the fuzzy transform (F-transform) originally introduced in Perfilieva (2006). More particularly, we will introduce a filter using the direct and inverse F-transform and show that the filtered data have a smaller noise, i.e., the variance of the random variable describing a filtered data noise is smaller than the variance of the random variable expressing an o (en)
Title	Density function smoothing using discrete F-transform Density function smoothing using discrete F-transform (en)
skos:prefLabel	Density function smoothing using discrete F-transform Density function smoothing using discrete F-transform (en)
skos:notation	RIV/61989100:27510/09:00020604!RIV10-MSM-27510___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA402/08/1237), S
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Tichý, Tomáš Holčapek, Michal
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Ekonomická fakulta
http://linked.open...dnocenehoVysledku	309456
http://linked.open...ai/riv/idVysledku	RIV/61989100:27510/09:00020604
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Fuzzy transform; probability distribution; financial returns (en)
http://linked.open.../riv/klicoveSlovo	probability distribution Fuzzy transform financial returns
http://linked.open...ontrolniKodProRIV	[891AB4025CD3]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Mathematical Methods in Economics 2009
http://linked.open...in/vavai/riv/obor	AH
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Application of complex Lévy processes in modeling of financial assets prices
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Holčapek, Michal Tichý, Tomáš
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000275146900023
http://linked.open.../riv/zahajeniAkce	2009-09-09 (xsd:date)
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Czech University of Life Science in Prague
https://schema.org/isbn	978-80-213-1963-9
http://localhost/t...ganizacniJednotka	27510

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