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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v40.i1.50
pages 55-62

Distribution of Absolute Maximum of Homogenous Random Field

Dmitriy V. Yevgrafov
National Technical University of Ukraine "Kiev Polytechnical Institute", Kiev, Ukraine

要約

There has been found analytical expression for distribution of absolute maximum of homogeneous random field by solving the problem of critical level points hitting the expanding range of phase space. The paper demonstrates that the flow of critical level surfaces should be put into correspondence with the flow of critical level points. The former, in its turn, can be expressed via a Poisson flow of surface generating points.


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