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B值鞅型序列性质的再探讨 被引量:2

A Further Discussion of the Characters of B-valued Martingale Sequences
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摘要 设B为有限维Banach空间,通过研究B值鞅序列之间的关系,得到了B值鞅型序列的两个重要的定理,一个体现在B值akp序列中,另一个体现在B值拟鞅中,并对它们予以证明. By studying the relationship between B-valued martingale sequences and inspired by Professor GAN Shi-xin's monographs, the author restricts B to be finite-dimensional Banach space and gets two characters from the B-valued martingale sequences. One is reflected in the B-value's .Kp equence, and the other B-valued quasimartingale,and the proof is given for them.
机构地区 五邑大学数理系
出处 《常熟理工学院学报》 2009年第8期19-21,共3页 Journal of Changshu Institute of Technology
关键词 B值拟鞅 B值akp序列 B值测度 B-valued quasimartingale B-value's .Kp sequence B-valued measures
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参考文献3

  • 1万高成.鞅的极限理论[M].北京:科学出版社,2002:160-256.
  • 2吴智泉,王向忱.巴氏空间上的概率论[M].陕西:陕西师范大学出版社,1988:29-168.
  • 3钟镇权.Banach空间值渐近鞅的等价定理[J].柳州师专学报,1999,14(3):96-98. 被引量:1

同被引文献6

  • 1L. Egghe, Stopping Time Techniques for Analysts and Probabilists [ M ]. London Math. Soc. Lecture Notes Series: 100, Cambridge Univ. Press, Cambridge, 1984.
  • 2J. Hoffmann and G. Pisier, The Law of Large numbers and the Central Limit Theorem in Banach Spaces, Ann. Probab[ J]. 1976, (4):587 - 599.
  • 3EGGHE L. Stopping time techniques for analysts and probabilists [M]. Cambridge: Cambridge Univ Press, 1984.
  • 4HOFFMANN J, PISIER G. The law of large numbers and the central limit theorem in Banach spaces[J]. Ann Probab, 1976(4): 587-599.
  • 5刘智慧.Banach空间的光滑性和B值随机变量列的收敛性[J].数学物理学报,1986,6:333-345.
  • 6曹显兵.Banach 空间的几何性质与 B 值鞅型序列的收敛性[J].长沙水电师院学报(自然科学版),1997,12(2):118-122. 被引量:1

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