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Theory of Probability and Mathematical Statistics

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A counting process in the max-scheme


Author: I. K. Matsak
Translated by: N. Semenov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 91 (2014).
Journal: Theor. Probability and Math. Statist. 91 (2015), 115-129
MSC (2010): Primary 60G70
DOI: https://doi.org/10.1090/tpms/971
Published electronically: February 4, 2016
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Abstract: The exact asymptotic behavior of a counting process is studied for the max-scheme in the case of independent random variables.


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Additional Information

I. K. Matsak
Affiliation: Faculty for Cybernetics, National Taras Shevchenko University, Academician Glushkov Avenue, 6, Kyiv 03127, Ukraine
Email: ivanmatsak@univ.kiev.ua

DOI: https://doi.org/10.1090/tpms/971
Keywords: Maximum of independent random variables, counting process, almost sure behavior
Received by editor(s): August 6, 2014
Published electronically: February 4, 2016
Article copyright: © Copyright 2016 American Mathematical Society