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Diskretnaya Matematika, 1998, Volume 10, Issue 2, Pages 45–51
DOI: https://doi.org/10.4213/dm422 (Mi dm422) 		 
Inequalities for the number of high-probability outcomes of a multinomial scheme

V. G. Mikhailov
Full-text PDF (615 kB)
DOI: https://doi.org/10.4213/dm422
Abstract: In this paper, we give a series of lower bounds for the number $w(x)$ of the outcomes of a discrete random variables whose total probability is no less than $x$. Several examples demonstrate that these inequalities, under some conditions, allow us to estimate the function $w(x)$ to very high accuracy.
This research was supported by the Russian Foundation for Basic Research, grants 96–01–00531, 96–15–96092.
Received: 18.12.1997
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. G. Mikhailov, “Inequalities for the number of high-probability outcomes of a multinomial scheme”, Diskr. Mat., 10:2 (1998), 45–51; Discrete Math. Appl., 8:2 (1998), 119–126
Citation in format AMSBIB
\Bibitem{Mik98}
\by V.~G.~Mikhailov
\paper Inequalities for the number of high-probability outcomes of a multinomial scheme
\jour Diskr. Mat.
\yr 1998
\vol 10
\issue 2
\pages 45--51
\mathnet{http://mi.mathnet.ru/dm422}
\crossref{https://doi.org/10.4213/dm422}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1673158}
\zmath{https://zbmath.org/?q=an:0977.60016}
\transl
\jour Discrete Math. Appl.
\yr 1998
\vol 8
\issue 2
\pages 119--126
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    		Дискретная математика
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