EFFECT OF RANDOM PARAMETERS IN NONLINEAR REGRESSION ON THE OPTIMAL EXPERIMENTAL DESIGN

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00368697" target="_blank" >RIV/68407700:21110/23:00368697 - isvavai.cz</a>
Result on the web
<a href="https://2023.uncecomp.org/proceedings/pdf/19596.pdf" target="_blank" >https://2023.uncecomp.org/proceedings/pdf/19596.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
EFFECT OF RANDOM PARAMETERS IN NONLINEAR REGRESSION ON THE OPTIMAL EXPERIMENTAL DESIGN
Original language description
We consider a nonlinear regression model that describes a relationship between input parameters and an output of an experiment. The output is measured repeatedly in several time points. The regression function is supposed to contain additional random parameters that remain the same in a single experiment but differ from one experiment to the other. Due to the additional random parameters the variability of least squares estimates of the parameters of interest may be large and their distribution may be not normal. For choosing a good design of experiment we might be interested in the complete joint distribution of the LS estimates. We compare three methods for approximating this distribution and illustrate the methods by some examples.
Czech name
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Czech description
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Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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