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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 320, Pages 106–109 (Mi znsl599)  
A note on limit behaviour of extremal order statistics

A. I. Martikainen

Saint-Petersburg State University
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Abstract: Anderson (1970) and Sethuraman (2003) described a class of distributions concentrated on positive integers for which sample maximum and other extremes asymptotically cluster on $k$ values. We prove a similar result for distributions of general structure.
Received: 12.11.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 1, Pages 4546–4548
DOI: https://doi.org/10.1007/s10958-006-0248-x
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. I. Martikainen, “A note on limit behaviour of extremal order statistics”, Probability and statistics. Part 8, Zap. Nauchn. Sem. POMI, 320, POMI, St. Petersburg, 2004, 106–109; J. Math. Sci. (N. Y.), 137:1 (2006), 4546–4548
Citation in format AMSBIB
\Bibitem{Mar04}
\by A.~I.~Martikainen
\paper A~note on limit behaviour of extremal order statistics
\inbook Probability and statistics. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 320
\pages 106--109
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl599}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2115869}
\zmath{https://zbmath.org/?q=an:1064.62057}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 1
\pages 4546--4548
\crossref{https://doi.org/10.1007/s10958-006-0248-x}
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