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  • In nonlinear regression models an approximate value of an unknown parameter is frequently at our disposal. Then the linearization of the model is used and a linear estimate of the parameter can be calculed. Some criteria how to recognize whether a linearization is possible is developed. In the case that they are not satisfied, it is necessery to take into account either some quadratic corrections or use the nonlinear least squares method. The aim of the paper is to find some criteria for an ordering linear and quadratic estimators.
  • In nonlinear regression models an approximate value of an unknown parameter is frequently at our disposal. Then the linearization of the model is used and a linear estimate of the parameter can be calculed. Some criteria how to recognize whether a linearization is possible is developed. In the case that they are not satisfied, it is necessery to take into account either some quadratic corrections or use the nonlinear least squares method. The aim of the paper is to find some criteria for an ordering linear and quadratic estimators. (en)
  • V nelineárních regresních modelech nemusí být známa ani přibližná hodnota neznámého parametru. Model lze linearizovat a určit lineární odhad neznámého parametru.Uvádíme některá kritéria ke zjištění toho, zda je tato linearizace vhodná. Není-li linearizace vhodná, je třeba vzít do úvahy kvadratické odhady nebo užít nelineární metodu nejmenších čtverců. V článku si všímáme závislosti mezi lineárními a kvadratickými odhady v linearizovaných modelech. (cs)
Title
  • Linear versus quadratic estimators in linearized models
  • Linear versus quadratic estimators in linearized models (en)
  • Linear versus quadratic estimators in linearized models (cs)
skos:prefLabel
  • Linear versus quadratic estimators in linearized models
  • Linear versus quadratic estimators in linearized models (en)
  • Linear versus quadratic estimators in linearized models (cs)
skos:notation
  • RIV/61989592:15310/04:00002157!RIV/2005/GA0/153105/N
http://linked.open.../vavai/riv/strany
  • 81-95
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/99/0327), Z(MSM 153100011)
http://linked.open...iv/cisloPeriodika
  • 1
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http://linked.open...aciTvurceVysledku
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  • 571590
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  • RIV/61989592:15310/04:00002157
http://linked.open...riv/jazykVysledku
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  • linearized models;criterum of linearization;quadratic corrections (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [74E2A407858E]
http://linked.open...i/riv/nazevZdroje
  • Applications of Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 49
http://linked.open...iv/tvurceVysledku
  • Kubáček, Lubomír
http://linked.open...n/vavai/riv/zamer
issn
  • 0862-7940
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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