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  • A new method of smoothing of discrete data by means of a continuos random statistically sufficient transformation is proposed. This provides median of the trasformed data sensitive to the regrassion parameters of the original discrete model, thus allowing to apply their robust median estimation. Another new idea is the independent repeating of the smoothing to the same discrete data, called stochastic enhancing, which improves the performance of the estimation. Extensive simulations are used to demonstrate that this robust estimation outperforms the former methods known from the literature. Asymptotic theory of the estimation is established as well.
  • A new method of smoothing of discrete data by means of a continuos random statistically sufficient transformation is proposed. This provides median of the trasformed data sensitive to the regrassion parameters of the original discrete model, thus allowing to apply their robust median estimation. Another new idea is the independent repeating of the smoothing to the same discrete data, called stochastic enhancing, which improves the performance of the estimation. Extensive simulations are used to demonstrate that this robust estimation outperforms the former methods known from the literature. Asymptotic theory of the estimation is established as well. (en)
  • Navržena je nová metoda vyhlazování diskrétních dat pomocí náhodné spojité statisticky postačující transformace. Toto poskytuje medán transformovaných dat citlivý na regresní parametry původního modelu, což umožnilo jejich odhadování robustním mediánovým odhadem. Další nový nápad je metoda %22statistického zvýrazňování%22 pomocí opakované aplikace vyhlazovací procedury na stejná výchozí diskrétní data, která vylepšuje chování procedury. Rozsáhlými simulacemi je prokázáno, že výsledné robustní odhadování překonává metody popsané v předchozí literatuře. Je vypracována také asymptotická teorie tohoto odhadování. (cs)
Title
  • Robust median estimator in logisitc regression
  • Robust median estimator in logisitc regression (en)
  • Robustní mediánový odhad vlogisické regresi (cs)
skos:prefLabel
  • Robust median estimator in logisitc regression
  • Robust median estimator in logisitc regression (en)
  • Robustní mediánový odhad vlogisické regresi (cs)
skos:notation
  • RIV/67985556:_____/08:00312780!RIV09-MSM-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0572), Z(AV0Z10750506), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 12
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
  • 393055
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/08:00312780
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Logistic regression; Median; Robustness; Consistency and asymptotic normality; Morgenthaler; Bianco and Yohai; Croux and Hasellbroeck (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [F20A3EE87791]
http://linked.open...i/riv/nazevZdroje
  • Journal of Statistical Planning and Inference
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 138
http://linked.open...iv/tvurceVysledku
  • Pardo, L.
  • Vajda, Igor
  • Hobza, T.
http://linked.open...ain/vavai/riv/wos
  • 000259755600019
http://linked.open...n/vavai/riv/zamer
issn
  • 0378-3758
number of pages
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