On the almost sure convergence for a linear process generated by negatively associated random variables in a Hilbert space

2008 ◽  
Vol 78 (14) ◽  
pp. 2110-2115 ◽  
Author(s):  
Tae-Sung Kim ◽  
Mi-Hwa Ko ◽  
Kwang-Hee Han
Keyword(s):  
Hilbert Space ◽  
Random Variables ◽  
Almost Sure Convergence ◽  
Linear Process ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Negatively Associated Random Variables

On the Almost sure Convergence Rate for Weighted Sums of Negatively Associated Random Variables with Application to Priestley-Chao Estimate

2015 ◽  
Vol 742 ◽  
pp. 449-452
Author(s):  
Gan Ji Huang ◽  
Guo Dong Xing
Keyword(s):  
Convergence Rate ◽  
Random Variables ◽  
Almost Sure Convergence ◽  
Weighted Sums ◽  
Exponential Inequality ◽  
Regression Estimate ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Negatively Associated Random Variables ◽  
Existing Result

This paper deals with the problem of almost sure convergence rate for weighted sums of negatively associated random variables. A new convergence rate is obtained base on an exponential inequality, the result obtained extends and has a fast convergence rate compare with the existing result. As an application, we study the Priestley-Chao estimate of nonparametric regression estimate and the convergence rate is derived.

Summability methods and negatively associated random variables

2004 ◽  
Vol 41 (A) ◽  
pp. 231-238
Author(s):  
N. H. Bingham ◽  
H. R. Nili Sani
Keyword(s):  
Random Variables ◽  
Associated Random Variables ◽  
Negatively Associated ◽  
Summability Methods ◽  
Negatively Associated Random Variables ◽  
Convergence Of Sequences

The paper studies convergence of sequences of negatively associated random variables under various summability methods. The results extend previously known results for independence and complement known results forϕ-mixing.

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