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This article is cited in 5 scientific papers (total in 5 papers)
General scheme of maxima of sums of independent random variables and its applications
A. V. Lebedev M. V. Lomonosov Moscow State University
Abstract:
A general scheme of maxima of sums of independent random variables is introduced. We prove a theorem on the convergence of the maxima in probability. We study its applications to large jumps in random walks and to extrema of shot-noise fields in the case of regularly varying tails. Nondegenerate limiting laws are obtained.
Received: 05.05.2003 Revised: 21.06.2004
Citation:
A. V. Lebedev, “General scheme of maxima of sums of independent random variables and its applications”, Mat. Zametki, 77:4 (2005), 544–550; Math. Notes, 77:4 (2005), 503–509
Linking options:
https://www.mathnet.ru/eng/mzm2516https://doi.org/10.4213/mzm2516 https://www.mathnet.ru/eng/mzm/v77/i4/p544
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