A simulation study on an approximate confidence region of parameters of a quadratic calibration function

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A simulation study on an approximate confidence region of parameters of a quadratic calibration function

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

A simulation study on an approximate confidence region of parameters of a quadratic calibration function

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

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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Počet stran výsledku

6

Strana od-do

628-633

Název nakladatele

Silesian University in Opava, School of Business Administration in Karviná

Místo vydání

Karviná

Místo konání akce

Karviná

Datum konání akce

1. 1. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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