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This article is cited in 3 scientific papers (total in 3 papers)
Short Communications
Strengthening of Prokhorov's arcsine-inequality
V. M. Kruglov M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
The paper proves the strengthening of the known Prokhorov inequality for sums of independent uniformly bounded random variables. An analogous inequality is proved for tails of infinitely divisible distribution functions whose spectral functions are concentrated on some segment.
Keywords:
random variable, martingale-difference, filtration, infinitely divisible distribution function, spectral function.
Received: 08.11.2005
Citation:
V. M. Kruglov, “Strengthening of Prokhorov's arcsine-inequality”, Teor. Veroyatnost. i Primenen., 50:4 (2005), 767–774; Theory Probab. Appl., 50:4 (2006), 677–684
Linking options:
https://www.mathnet.ru/eng/tvp130https://doi.org/10.4213/tvp130 https://www.mathnet.ru/eng/tvp/v50/i4/p767
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Abstract page: | 367 | Full-text PDF : | 170 | References: | 32 |
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