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  • The presented study focuses on a confrontation of the theory of regression models and theory of experiment with the real situation of determining properties of magnetic (nano)materials. Their magnetic properties can be deduced by measuring their magnetization, being the fundamental magnetic quantity of an arbitrary (nano)material. The results of the magnetization measurements determine the unknown parameters of a known nonlinear function that characterizes the (nano)material under investigation. Knowledge of the values of the uknkown parameters enables to decide whether the (nano)material is suitable or not for a particular application. Thus, in this work, we present a possible approach how to estimate the unknown parameters of the nonlinear function by the regression models, taking into account a relevant linearization criterion. Then, we suggest an appropriate design for the measurement to get better estimators of the parameters.
  • The presented study focuses on a confrontation of the theory of regression models and theory of experiment with the real situation of determining properties of magnetic (nano)materials. Their magnetic properties can be deduced by measuring their magnetization, being the fundamental magnetic quantity of an arbitrary (nano)material. The results of the magnetization measurements determine the unknown parameters of a known nonlinear function that characterizes the (nano)material under investigation. Knowledge of the values of the uknkown parameters enables to decide whether the (nano)material is suitable or not for a particular application. Thus, in this work, we present a possible approach how to estimate the unknown parameters of the nonlinear function by the regression models, taking into account a relevant linearization criterion. Then, we suggest an appropriate design for the measurement to get better estimators of the parameters. (en)
Title
  • Design of experiment for measurement of langevin function
  • Design of experiment for measurement of langevin function (en)
skos:prefLabel
  • Design of experiment for measurement of langevin function
  • Design of experiment for measurement of langevin function (en)
skos:notation
  • RIV/61989592:15310/12:33141625!RIV13-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED2.1.00/03.0058), S
http://linked.open...iv/cisloPeriodika
  • 4
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
  • 130326
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/12:33141625
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Langevin function; hysteresis loop; nanomaterial; D-optimal design of experiment; BLUE; linearization; nonlinear regression models; Approximation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [078DC997BA37]
http://linked.open...i/riv/nazevZdroje
  • Measurement Science Review
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
  • 12
http://linked.open...iv/tvurceVysledku
  • Tuček, Jiří
  • Tuček, Pavel
  • Kubáček, Lubomír
  • Tučková, Michaela
  • Fišerová, Eva
http://linked.open...ain/vavai/riv/wos
  • 000307943000001
issn
  • 1335-8871
number of pages
http://bibframe.org/vocab/doi
  • 10.2478/v10048-012-0019-4
http://localhost/t...ganizacniJednotka
  • 15310
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