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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Power Functions Of Statistical Criteria Defined By Bans |
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Authors: |
Alexander A. Grusho, Nick A. Grusho, Elena E. Timonina |
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Published in:
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(2015).ECMS 2015 Proceedings edited
by: Valeri M. Mladenov, Grisha Spasov, Petia Georgieva, Galidiya Petrova, European
Council for Modeling and Simulation. doi:10.7148/2015 ISBN:
978-0-9932440-0-1 29th
European Conference on Modelling and Simulation, Albena (Varna), Bulgaria,
May 26th – 29th,
2015 |
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Citation
format: |
Alexander A. Grusho,
Nick A. Grusho, Elena E. Timonina
(2015). Power Functions Of Statistical Criteria Defined By Bans, ECMS 2015
Proceedings edited by: Valeri M. Mladenov, Petia Georgieva, Grisha Spasov, Galidiya Petrova European Council for Modeling
and Simulation. doi:10.7148/2015-0617 |
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DOI: |
http://dx.doi.org/10.7148/2015-0617 |
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Abstract: |
The basic problem for developers of
monitoring systems for technological processes is to exclude the false
alarms. False alarms generate the interruption of technological process and
lead to the manual analysis of the reasons of the wrong system behavior. In the paper it is offered to use the
statistical techniques with probabilities of false alarms equal to zero. This
class of statistical decisions is based on concept of bans of probability
measures in a finite space. Conditions under which powers of statistical
criteria accept value 1 on a finite step are found. These conditions are
formulated in terms of supports of probability measures. |
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