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  • Recursive estimation forms core of adaptive prediction and control. Dynamic exponential family is the only but narrow class of parametric models that allows exact Bayesian estimation. The paper provides an approximate estimation of important autoregressive model with exogenous variables (ARX) and uniform noise. This model reflects well physical nature of modelled system: majority of signals, noise and estimated parameters are bounded. Unlike former solutions, the paper proposes an algorithm that provides a full (approximate) posterior probability density function (pdf) of unknown parameters. Behaviour of the designed algorithm is illustrated by simulations.
  • Recursive estimation forms core of adaptive prediction and control. Dynamic exponential family is the only but narrow class of parametric models that allows exact Bayesian estimation. The paper provides an approximate estimation of important autoregressive model with exogenous variables (ARX) and uniform noise. This model reflects well physical nature of modelled system: majority of signals, noise and estimated parameters are bounded. Unlike former solutions, the paper proposes an algorithm that provides a full (approximate) posterior probability density function (pdf) of unknown parameters. Behaviour of the designed algorithm is illustrated by simulations. (en)
Title
  • Approximate Bayesian Recursive Estimation of Linear Model with Uniform Noise
  • Approximate Bayesian Recursive Estimation of Linear Model with Uniform Noise (en)
skos:prefLabel
  • Approximate Bayesian Recursive Estimation of Linear Model with Uniform Noise
  • Approximate Bayesian Recursive Estimation of Linear Model with Uniform Noise (en)
skos:notation
  • RIV/67985556:_____/12:00378658!RIV13-TA0-67985556
http://linked.open...avai/riv/aktivita
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  • I, P(TA01030123)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 123478
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/12:00378658
http://linked.open...riv/jazykVysledku
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  • recursive parameter estimation; bounded noise; Bayesian learning; autoregressive models (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [83B8A854224D]
http://linked.open...v/mistoKonaniAkce
  • Brussels
http://linked.open...i/riv/mistoVydani
  • Brussels
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 16th IFAC Symposium on System Identification
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  • Kárný, Miroslav
  • Pavelková, Lenka
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http://linked.open.../riv/zahajeniAkce
number of pages
http://bibframe.org/vocab/doi
  • 10.3182/20120711-3-BE-2027.00104
http://purl.org/ne...btex#hasPublisher
  • IFAC
https://schema.org/isbn
  • 978-3-902823-06-9
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