A simulation study on an approximate confidence region of parameters of a quadratic calibration function
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43110%2F12%3A00191167" target="_blank" >RIV/62156489:43110/12:00191167 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A simulation study on an approximate confidence region of parameters of a quadratic calibration function
Original language description
The goal of the paper is to derive the approximate confidence region of parameters of a quadratic calibration function in a one-dimensional replicated calibration model and to verify the accuracy of this approximate confidence region by a simulation study. We view calibration as a method for describing a relationship between two imprecise measurements. The relationship is called calibration function, we suppose this function in a quadratic form. There are two approximations in deriving the confidence region. First is replacement the nonlinear model by a linear one using a first-order Taylor series. Second is using Kenward-Roger approach for approximation the variance-covariance matrix of the estimators of parameters of the calibration function. The simulation study will be performed in the computer system Matlab. It will be concentrated on the validity of expression of the approximate confidence region depending on the number of measurement objects, on the number of replications and on
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 30th International Conference Mathematical Methods in Economics 2012
ISBN
978-80-7248-779-0
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
628-633
Publisher name
Silesian University in Opava, School of Business Administration in Karviná
Place of publication
Karviná
Event location
Karviná
Event date
Jan 1, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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