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On small deviation probabilities for certain iterated random processes. / Frolov, A.N.
в: Vestnik St. Petersburg University: Mathematics, № 4, 2013, стр. 180-186.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On small deviation probabilities for certain iterated random processes
AU - Frolov, A.N.
PY - 2013
Y1 - 2013
N2 - The asymptotic behavior of small deviation probabilities for some iterated random processes is investigated. It is shown that, under certain conditions, iterated and noniterated processes have logarithmic asymptotics of the same character; otherwise, these asymptotics may differ substantially. Some iterated Gaussian processes are considered as an example. © 2013 Allerton Press, Inc.
AB - The asymptotic behavior of small deviation probabilities for some iterated random processes is investigated. It is shown that, under certain conditions, iterated and noniterated processes have logarithmic asymptotics of the same character; otherwise, these asymptotics may differ substantially. Some iterated Gaussian processes are considered as an example. © 2013 Allerton Press, Inc.
U2 - 10.3103/S1063454113030047
DO - 10.3103/S1063454113030047
M3 - Article
SP - 180
EP - 186
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 4
ER -
ID: 7522482