On complete convergence of triangular arrays of independent random variables
نویسندگان
چکیده
منابع مشابه
On complete convergence for arrays of rowwise dependent random variables
This paper establishes two results for complete convergence in the law of large numbers for arrays under %-mixing and ~ %-mixing association in rows. They extend several known results. AMS classi cation: 60F15
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and Applied Analysis 3 in probability. If E|X| log|X| < ∞, for 1 α β 0, E|X| 1 α β /γ < ∞, for 1 α β > 0, 1.8 then 1.5 holds. In this paper, we extend Theorem 1.3 to negatively associated and negatively dependent random variables. We also obtain similar results for sequences of φ-mixing and ρ∗-mixing random variables. Our results improve and generalize the results of Baek et al. 4 , Kuczmaszews...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2007
ISSN: 0167-7152
DOI: 10.1016/j.spl.2006.12.011