Coherence coefficients as uncertainty parameters of error value set

Jerzy Jakubiec; Krzysztof Konopka

Coherence coefficients as uncertainty parameters of error value set

Department of Measurement Science, Electronics and Control (RE/RE2)

Research output: Contribution to conference › Paper › peer-review

4 Citations (Scopus)

Abstract

Arithmetical operations performed on measurement results treated as intervals cause that the influence both errors distribution shape and errors correlation to the width of the resultant interval must be considered. The paper describes the use of reductive interval arithmetic [2] in such a situation. Coherence coefficients which generally describe interdependence between intervals are interpreted as parameters of the error value set. The composition rule for two kinds of coefficients-those dependent on the shapes of the error distributions and those dependent on correlation between errors-is presented. Uncertainty calculation inaccuracy of the described method has been analysed in the paper, too.

Original language	English
Pages	76-81
Number of pages	6
Publication status	Published - 2002
Event	TC7 Symposium on New Developments in the Field of Measurement Science 2002 - Cracow, Poland Duration: 25 Jun 2002 → 27 Jun 2002

Conference

Conference	TC7 Symposium on New Developments in the Field of Measurement Science 2002
Country/Territory	Poland
City	Cracow
Period	25/06/02 → 27/06/02

Keywords

Measurement error
Reductive interval arithmetic
Uncertainty

ASJC Scopus subject areas

Instrumentation
Electrical and Electronic Engineering

Cite this

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abstract = "Arithmetical operations performed on measurement results treated as intervals cause that the influence both errors distribution shape and errors correlation to the width of the resultant interval must be considered. The paper describes the use of reductive interval arithmetic [2] in such a situation. Coherence coefficients which generally describe interdependence between intervals are interpreted as parameters of the error value set. The composition rule for two kinds of coefficients-those dependent on the shapes of the error distributions and those dependent on correlation between errors-is presented. Uncertainty calculation inaccuracy of the described method has been analysed in the paper, too.",

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author = "Jerzy Jakubiec and Krzysztof Konopka",

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T1 - Coherence coefficients as uncertainty parameters of error value set

AU - Jakubiec, Jerzy

AU - Konopka, Krzysztof

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AB - Arithmetical operations performed on measurement results treated as intervals cause that the influence both errors distribution shape and errors correlation to the width of the resultant interval must be considered. The paper describes the use of reductive interval arithmetic [2] in such a situation. Coherence coefficients which generally describe interdependence between intervals are interpreted as parameters of the error value set. The composition rule for two kinds of coefficients-those dependent on the shapes of the error distributions and those dependent on correlation between errors-is presented. Uncertainty calculation inaccuracy of the described method has been analysed in the paper, too.

KW - Measurement error

KW - Reductive interval arithmetic

KW - Uncertainty

UR - https://www.scopus.com/pages/publications/84961320830

M3 - Paper

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T2 - TC7 Symposium on New Developments in the Field of Measurement Science 2002

Y2 - 25 June 2002 through 27 June 2002

ER -

Coherence coefficients as uncertainty parameters of error value set

Abstract

Conference

Keywords

ASJC Scopus subject areas

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