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Role of Random Factors in Nonlinear Regression: a Case Study for Estimation of Thermophysical Parameters

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00312362" target="_blank" >RIV/68407700:21110/17:00312362 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Role of Random Factors in Nonlinear Regression: a Case Study for Estimation of Thermophysical Parameters

  • Original language description

    Abstract: In order to design an optimal experimental setup the designers have to take into account uncertainties connected to the investigated system. The input random factors associated with for example values of loading, specimen dimensions or measurement errors influence behaviour of the system, which thus becomes also uncertain. From this point of view, the experiment design is a very important because it effects amount of information which can be obtained from the experiment. More specifically, accuracy of the identified parameters from indirect experimental measurements depends on experimental settings. In this contribution we demonstrate a role of random factors in a nonlinear model calibration on an illustrative example of one dimensional heat conduction. The thermophysical parameters such as thermal capacity and thermal conductivity are identified on a basis of noisy measurements from experiments with different setup. The experiments vary in a number of sensors and number of observed time steps. The presented statistical analysis shows dependence of the parameter estimation on the choice of measured quantities involving different uncertainties.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Engineering Mechanics 2017 - Book of full texts

  • ISBN

    978-80-214-5497-2

  • ISSN

    1805-8248

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    410-413

  • Publisher name

    Brno University of Technology

  • Place of publication

    Brno

  • Event location

    Svratka

  • Event date

    May 15, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000411657600092