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초록· 키워드
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We obtain a result on complete convergence of weighted sums for arrays of rowwise independent Banach space valued random elements.
No assumptions are given on the geometry of the underlying Banach space. The result generalizes the main results of Ahmed et al. [1], Chen et al. [2], and Volodin et al. [14].
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참고문헌 (15)
참고문헌 신청
A. Kuczmaszewska / 1994 / On complete convergence in a Banach space / Internat. J. Math. Math. Sci. 17 (1) : 1 ~ 14
A. Volodin / 2004 / A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements / Lobachevskii J. Math. 15 : 21 ~ 33
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
J. Kuelbs / 1979 / Some stability results for vector valued random variables / Ann. Probab. 7 (1) : 75 ~ 84
M. Ledoux / 1991 / Probability in Banach Spaces / Springer-Verlag
A. Volodin / 2004 / A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements / Lobachevskii J. Math. 15 : 21 ~ 33
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
J. Kuelbs / 1979 / Some stability results for vector valued random variables / Ann. Probab. 7 (1) : 75 ~ 84
M. Ledoux / 1991 / Probability in Banach Spaces / Springer-Verlag
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