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In this article, we discuss the complete moment convergence for arrays of B-valued random variables. We obtain some new results which improve the corresponding ones of Sung and Volodin [17].
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참고문헌 (22)
참고문헌 신청
A. Gut / 1992 / Complete convergence for arrays / Period. Math. Hungar 25 (1) : 51 ~ 75
A. de Acosta / 1981 / Inequalities for B-valued random vectors with applications to the strong law of large numbers / Ann. Probab 9 (1) : 157 ~ 161
D. C. Wang / 2004 / Moment complete convergence for sequences of B-valued iid random elements / Acta Math. Appl. Sin 27 (3) : 440 ~ 448
D. C. Wang / 2006 / Moment complete convergence for sums of a sequence of NA random variables / Appl. Math. J. Chinese Univ. Ser. A 21 (4) : 445 ~ 450
D. H. Qiu / 2012 / Complete convergence for weighted sums of arrays of Banach-space-valued random elements / Lith. Math. J 52 (3) : 316 ~ 325
A. de Acosta / 1981 / Inequalities for B-valued random vectors with applications to the strong law of large numbers / Ann. Probab 9 (1) : 157 ~ 161
D. C. Wang / 2004 / Moment complete convergence for sequences of B-valued iid random elements / Acta Math. Appl. Sin 27 (3) : 440 ~ 448
D. C. Wang / 2006 / Moment complete convergence for sums of a sequence of NA random variables / Appl. Math. J. Chinese Univ. Ser. A 21 (4) : 445 ~ 450
D. H. Qiu / 2012 / Complete convergence for weighted sums of arrays of Banach-space-valued random elements / Lith. Math. J 52 (3) : 316 ~ 325
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