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This article is cited in 4 scientific papers (total in 4 papers)
The bounded law of the iterated logarithm
for weakly dependent random variables
with values in a type 2 Banach space
O. Sh. Sharipov Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Abstract:
This paper deals with a sequence of identically distributed random
variables with $\psi$-mixing and values in a type 2 Banach space
whose norm meets certain conditions. The law of the
iterated logarithm for this sequence is proved under optimal moment
conditions.
Keywords:
bounded law of iterated logarithm, $\psi$-mixing, type 2 Banach spaceю.
Received: 16.10.2001
Citation:
O. Sh. Sharipov, “The bounded law of the iterated logarithm
for weakly dependent random variables
with values in a type 2 Banach space”, Teor. Veroyatnost. i Primenen., 49:3 (2004), 522–537; Theory Probab. Appl., 49:3 (2005), 444–457
Linking options:
https://www.mathnet.ru/eng/tvp206https://doi.org/10.4213/tvp206 https://www.mathnet.ru/eng/tvp/v49/i3/p522
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Abstract page: | 395 | Full-text PDF : | 162 | References: | 68 |
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