两指标B值强鞅的大数定律
PDF下载 (330)叶 臣.两指标B值强鞅的大数定律[J].宁波大学学报(理工版),2014,27(03):55-58.DOI:
YE Chen.Laws of Large Numbers for the Two-parameter Banach Space Valued Strong Martingales[J].Journal of Ningbo University(Natural Science & Engineering Edition),2014,27(03):55-58.DOI:
| Title: | Laws of Large Numbers for the Two-parameter Banach Space Valued Strong Martingales |
| 作者: | 叶 臣 |
| Author(s): | YE Chen |
| 关键词: | 两指标B值强鞅; 大数定律; 一致光滑 |
| Keywords: | two-parameter Banach space valued strong martingales; laws of large numbers; uniform smoothness |
| 分类号: | O211.6 |
| 文献标识码: | A |
| 摘要: | 证明了两指标B值强鞅的强弱大数定律的几个重要结果, 得到了Banach空间的一致光滑特征的2个新刻划, 推广和改进了单指标B值鞅和两指标B值鞅的有关结果 |
| Abstract: | Some important results of the strong and weak laws of large numbers for two-parameter Banach space valued strong martingale are certificated, and obtained two characterizations of uniform smoothness of Banach spaces, the relative results of one-parameter and two-parameter Banach space valued martingales are generalized and ameliorated |
| 参考文献 /References: | [1].J]. 数学杂志, 1991, 10(1): 85-92. [2].甘师信. Banach空间值鞅不等式与弱大数定律[J]. 数学杂志, 1994, 14(3):387-395. [3].翟富菊, 吴海燕. B值极限鞅及L1极限鞅差序列的大数定律[J]. 青岛科技大学学报: 自然科学版, 2010, 31(5): 539-541. [4].Chen Riyan, Gan Shixin. Two-parameter vector-valued martingales and geometrical properties of Banach spaces[J]. Wuhan University Journal of Natural Sciences, 1999, 4(2):135-142. [5].李宏, 叶臣. 两指标B值强鞅的收敛性与Banach空间几何性质[J]. 宁波大学学报: 理工版, 2011, 24(4):41-44. [6].Pisier G. Martingales with values in uniformly convex spaces[J]. Israel J Math, 1995, 20:326-356. |
| 备注/Memo: | 收稿日期: 2014?02?24. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 浙江省教育厅科研项目（Y201119684）. 作者简介: 叶臣（1974－）, 男, 新疆博湖人, 硕士/讲师, 主要研究方向: 随机过程与随机分析. E-mail: yechen@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
