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In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai \cite{2}, Wang et al.~\cite{17} and Shen \cite{14}, but also improve them, respectively.
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참고문헌 (27)
참고문헌 신청
N. Asadian / 2006 / Rosental's type inequalities for negatively orthant dependent random variables / J. Iranian Stat. Soc 5(1-2):66~75
Guang-hui Cai / 2008 / Strong laws for weighted sums of NA random variables / Metrika 68(3):323~331
Y. Chen / 2010 / The strong law of large numbers for extended negatively dependent random variables / J. Appl. Probab 47(4):908~922
Y. S. Chow / 1988 / On the rate of moment convergence of sample sums and extremes / Bull. Inst. Math. Acad. Sinica 16(3):177~201
N. Ebrahimi / 1981 / Multivariate negative dependence / Comm. Statist. A|Theory Methods 10(4):307~337
Guang-hui Cai / 2008 / Strong laws for weighted sums of NA random variables / Metrika 68(3):323~331
Y. Chen / 2010 / The strong law of large numbers for extended negatively dependent random variables / J. Appl. Probab 47(4):908~922
Y. S. Chow / 1988 / On the rate of moment convergence of sample sums and extremes / Bull. Inst. Math. Acad. Sinica 16(3):177~201
N. Ebrahimi / 1981 / Multivariate negative dependence / Comm. Statist. A|Theory Methods 10(4):307~337
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