논문KCI 등재
On the weal law of large numbers for sequences of Banach space valued random elements
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Abstract
We establish a weak law of large numbers for sequenceof random elements with values in p-uniformly smooth Banachspace. Our result is more general and stronger than some well-known ones.
참고문헌 (6)
- "Weak laws with random indices for arraysof random elements in Rademacher type p Banach spaces", (3), pp.605~623 (1997)
- "On the weak lawfor randomly indexed partial sums for arrays of random elements in martingaletype p Banach spaces", 46(2), pp.177~185 (2000)
- "On the convergence of weighted sums of martingaledierences", pp.53~ (1988)
- "Graduate Texts in Mathematics", 45 (1977), Springer-Verlag
- "Weak law of large numbers for arrays of random variables", 42(3), pp.293~298 (1998)
- "Geometry and martingale in Banach spaces II. Independent increments" (1978), Press New York
관련 논문AI추천
On the weak laws with random indices for partial sums for arrays of random elements in martingale type $p$ Banach spaces성수학, Andrei I. Volodin, Tien-Chung Hu대한수학회 · 대한수학회보2006 · 제43권 제3호MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACESLe Van Dung, Nguyen Duy Tien대한수학회 · 대한수학회보2010 · 제47권 제3호Convergence of double series of random elements in Banach spacesLe Van Dung, Nguyen Duy Tien대한수학회 · 대한수학회지2012 · 제49권 제5호On the rate of complete convergence for weighted sums of arrays of random elements성수학, Andrei I. Volodin대한수학회 · 대한수학회지2006 · 제43권 제4호Weak Laws for Weighted Sums of Random Variables성수학대한수학회 · 대한수학회보2004 · 제41권 제2호Limit theorems for partial sum processes of a Gaussian SequenceYong-Kab Choi, Kyo-Shin Hwang, Hee-Jin Moon, Tae-S대한수학회 · 대한수학회지2004 · 제41권 제6호
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