Asymptotic Behavior of the Variance, Estimates on the Moments and Some Probabilistic Inequalities for Sums of Weakly Dependent Random Variables

1991 ◽  
pp. 40-65
Author(s):  
Boris Nahapetian
Keyword(s):  
Asymptotic Behavior ◽  
Random Variables ◽  
Dependent Random Variables ◽  
Weakly Dependent Random Variables ◽  
Probabilistic Inequalities ◽  
Variance Estimates ◽  
Weakly Dependent

Moment bounds for non-stationary dependent sequences

1994 ◽  
Vol 31 (3) ◽  
pp. 731-742 ◽  
Author(s):  
Tae Yoon Kim
Keyword(s):  
Random Variables ◽  
Partial Sums ◽  
Unified Approach ◽  
Dependent Random Variables ◽  
Combinatorial Argument ◽  
Stationarity Condition ◽  
Weakly Dependent Random Variables ◽  
Mixing Sequences ◽  
Moment Bounds ◽  
Weakly Dependent

We provide a unified approach for establishing even-moment bounds for partial sums for a class of weakly dependent random variables satisfying a stationarity condition. As applications, we discuss moment bounds for various types of mixing sequences. To obtain even-moment bounds, we use a ‘combinatorial argument' developed by Cox and Kim (1990).

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