Note on the uniform convergence of density estimates for mixing random variables

1987 ◽  
Vol 5 (4) ◽  
pp. 279-285 ◽  
Author(s):  
D Ioannides ◽  
G.G Roussas
Keyword(s):  
Uniform Convergence ◽  
Random Variables ◽  
Density Estimates ◽  
Mixing Random Variables

A note on the Bahadur representation of sample quantiles for α-mixing random variables

2011 ◽  
Vol 165 (3-4) ◽  
pp. 579-596 ◽  
Author(s):  
Guo-dong Xing ◽  
Shan-chao Yang ◽  
Yan Liu ◽  
Ke-ming Yu
Keyword(s):  
Random Variables ◽  
Bahadur Representation ◽  
Sample Quantiles ◽  
Mixing Random Variables

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.

Sign in / Sign up

Export Citation Format

Share Document