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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 4, Pages 793–798
DOI: https://doi.org/10.4213/tvp2169 (Mi tvp2169) 		 
Short Communications

Uniform convergence of sub-gaussian integrals

A. A. Pashko

National Taras Shevchenko University of Kyiv
Full-text PDF (718 kB)
DOI: https://doi.org/10.4213/tvp2169
Abstract: This paper studies conditions and estimates of the uniform convergence in probability of strictly sub-Gaussian integrals
$$ S_a^b(t)=\int_a^bT(t,\lambda) d\xi(\lambda). $$
The estimate obtained coincides in order with analogous estimates for Gaussian integrals.
Keywords: stochastic integral, sub-Gaussian process, uniform convergence, estimate of convergence, condition of convergence.
Received: 02.08.1993
Revised: 20.04.1998
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 4, Pages 650–655
DOI: https://doi.org/10.1137/S0040585X97977239
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Pashko, “Uniform convergence of sub-gaussian integrals”, Teor. Veroyatnost. i Primenen., 43:4 (1998), 793–798; Theory Probab. Appl., 43:4 (1999), 650–655
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 4
\pages 650--655
\crossref{https://doi.org/10.1137/S0040585X97977239}
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