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2022 | OriginalPaper | Buchkapitel

Application of the Theory of Statistical Hypotheses in Tasks of Automating Technological Processes

verfasst von : S. I. Polyakov, V. I. Akimov, A. V. Polukazakov

Erschienen in: Advances in Automation III

Verlag: Springer International Publishing

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Abstract

This paper substantiates methods of applying the theory of statistical hypotheses in tasks of automating technological processes. Automated system operations are considered to be multi-alternative in terms of the theory of statistical hypotheses: two hypotheses of the correct mode and two hypotheses of the erroneous operation of the system. This paper provides general expressions for calculating the probabilities of these modes for two statistical models of the controlled parameter of the technological process and standard models of the metrological spread of the measuring channel. Herewith the accuracy class of the measuring channel should be expressed as a reduced error. A program has been developed for the statistical evaluation of the operating modes of the automation system for symmetric and asymmetric statistical models of the controlled parameter spread and several models of the metrological evaluation spread of this technological parameter. 

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Metadaten
Titel
Application of the Theory of Statistical Hypotheses in Tasks of Automating Technological Processes
verfasst von
S. I. Polyakov
V. I. Akimov
A. V. Polukazakov
Copyright-Jahr
2022
DOI
https://doi.org/10.1007/978-3-030-94202-1_5