On the uniform convergence of wavelet expansions of random processes from Orlicz spaces of random variables. I

2007 ◽  
Vol 59 (12) ◽  
pp. 1850-1869
Author(s):  
Yu. V. Kozachenko ◽  
M. M. Perestyuk
Keyword(s):  
Uniform Convergence ◽  
Orlicz Spaces ◽  
Random Variables ◽  
Random Processes ◽  
Wavelet Expansions

On uniform convergence of wavelet expansions of ϕ-sub-Gaussian random processes

2006 ◽  
Vol 14 (3) ◽  
pp. 209-232 ◽  
Author(s):  
Yu. V. Kozachenko ◽  
M. M. Perestyuk ◽  
O. I. Vasylyk
Keyword(s):  
Uniform Convergence ◽  
Random Processes ◽  
Wavelet Expansions

scholarly journals Uniform Convergence of Wavelet Expansions of Gaussian Random Processes

2011 ◽  
Vol 29 (2) ◽  
pp. 169-184 ◽  
Author(s):  
Yuriy Kozachenko ◽  
Andriy Olenko ◽  
Olga Polosmak
Keyword(s):  
Uniform Convergence ◽  
Random Processes ◽  
Wavelet Expansions

scholarly journals Precise Asymptotics in the Law of the Iterated Logarithm under Sublinear Expectations

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Mingzhou Xu ◽  
Kun Cheng
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Uniform Convergence ◽  
Central Limit ◽  
Random Variables ◽  
Precise Asymptotics ◽  
Partial Sum ◽  
The Central Limit Theorem ◽  
Iterated Logarithm ◽  
The Law

By an inequality of partial sum and uniform convergence of the central limit theorem under sublinear expectations, we establish precise asymptotics in the law of the iterated logarithm for independent and identically distributed random variables under sublinear expectations.

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