Integral equation methods in change-point detection problems (Q2891981)
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scientific article; zbMATH DE number 6047100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral equation methods in change-point detection problems |
scientific article; zbMATH DE number 6047100 |
Statements
18 June 2012
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control charts
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EWMA
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CUSUM
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ARL
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AD
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Integral equation methods in change-point detection problems (English)
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This paper is an extended abstract for a corresponding PhD thesis. In this thesis, integral equations are used to derive explicit formulas for the average run length (ARL) and average delay time (AD) for CUSUM and EWMA control charts and particular distribution families. In some situations, where no closed form can be obtained, an approximation by hyperexponential distributions can be used. The results are compared with approximations using Monte Carlo simulations.
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