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Description
  • A scale-equivariant and regression-invariant estimator of the variance of error terms in the linear regression model is proposed and its consistency proved. The estimator is based on (down)weighting the order statistics of the squared residuals which corresponds to the consistent and scale- and regression-equivariant estimator of the regression coefficients. Asmall numerical study demonstrating the behaviour of the estimator under the various types of contamination is included.
  • A scale-equivariant and regression-invariant estimator of the variance of error terms in the linear regression model is proposed and its consistency proved. The estimator is based on (down)weighting the order statistics of the squared residuals which corresponds to the consistent and scale- and regression-equivariant estimator of the regression coefficients. Asmall numerical study demonstrating the behaviour of the estimator under the various types of contamination is included. (en)
Title
  • Robust error-term-scale estimate
  • Robust error-term-scale estimate (en)
skos:prefLabel
  • Robust error-term-scale estimate
  • Robust error-term-scale estimate (en)
skos:notation
  • RIV/67985556:_____/10:00365546!RIV12-AV0-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA402/09/0557), Z(AV0Z10750506)
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
  • 285571
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/10:00365546
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Robustness; Regression; Disturbances; Scale estimate (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [16246D47C309]
http://linked.open...i/riv/mistoVydani
  • USA
http://linked.open...vEdiceCisloSvazku
  • Books IMS, IMS Collections vol 7(2010)
http://linked.open...i/riv/nazevZdroje
  • Nonparametrics and Robustness in Modern Statistical Inference and Time Series Analysis: Festschrift for Jana Jureckova
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...v/pocetStranKnihy
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Víšek, Jan Ámos
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Institute of Mathematical Statistics (IMS)
https://schema.org/isbn
  • 978-0-940600-80-5
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