Precise asymptotics in complete moment convergence of the associated counting process
نویسندگان
چکیده
منابع مشابه
Precise Asymptotics in Complete Moment Convergence of the Uniform Empirical Process
In this paper, we investigate the Precise asymptotics in complete moment convergence of the uniform empirical process.
متن کاملOn the Precise Asymptotics in Complete Moment Convergence of Moving Average Processes under NA Random Variables
Let {ε i | − ∞ < i < ∞} be a sequence of identically distributed negatively associated random variables and {a i | − ∞ < i < ∞} a sequence of real numbers with
متن کاملPrecise Asymptotics for the Moment Convergence of Moving-average Process under Dependence
Let {εi : −∞ < i < ∞} be a strictly stationary sequence of linearly positive quadrant dependent random variables and P∞ i=−∞ |ai| < ∞. In this paper, we prove the precise asymptotics in the law of iterated logarithm for the moment convergence of moving-average process of the form Xk = P∞ i=−∞ ai+kεi, k ≥ 1.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.05.032