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  • We approach the kernel smoothing method in a rather nontraditional manner, namely within the theory of generalized functions, completely avoiding the standard statistical reasoning. The kernel smoothing operation is considered as a process of finding a regular approximation (classical smooth function) to the given singular distribution (finite sequence of Dirac functions representing the non-smooth data). In particular the methods for construction of the commonly used kernel weight functions are investigated from this point of view, giving thus another insight into the basic ideas standing behind them.
  • We approach the kernel smoothing method in a rather nontraditional manner, namely within the theory of generalized functions, completely avoiding the standard statistical reasoning. The kernel smoothing operation is considered as a process of finding a regular approximation (classical smooth function) to the given singular distribution (finite sequence of Dirac functions representing the non-smooth data). In particular the methods for construction of the commonly used kernel weight functions are investigated from this point of view, giving thus another insight into the basic ideas standing behind them. (en)
Title
  • Kernel smoothing as a regularization of a singular distribution
  • Kernel smoothing as a regularization of a singular distribution (en)
skos:prefLabel
  • Kernel smoothing as a regularization of a singular distribution
  • Kernel smoothing as a regularization of a singular distribution (en)
skos:notation
  • RIV/00216224:14310/97:00000667!RIV/2002/GA0/143102/N
http://linked.open.../vavai/riv/strany
  • 193
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/93/2408)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 802122
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/97:00000667
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • kernel smoothing; generalized functions; regularization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [CEDA5737DA49]
http://linked.open...v/mistoKonaniAkce
  • Brno
http://linked.open...i/riv/mistoVydani
  • Brno
http://linked.open...i/riv/nazevZdroje
  • Proceedings of Summer Schools MATLAB 94, 95
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Veselý, Vítězslav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Masarykova univerzita
https://schema.org/isbn
  • 80-210-1517-9
http://localhost/t...ganizacniJednotka
  • 14310
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