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随机环境中一类Pólya罐模型的中偏差原理
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O211.4[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]湖北工业大学理学院,湖北武汉430068, [2]中国地质大学数理学院数学系,湖北武汉430074
  • 相关基金：国家自然科学基金资助项目（10531070）; 中国地质大学（武汉）优秀青年教师资助计划项目（CUGQNL0816）
作者： 李家雄[1], 毛明志[2]
关键词： Pólya罐模型, 球分布, 中偏差, 鞅, Pólya urn model, Distribution for balls, Moderate deviation, Martingale
中文摘要：

本文考虑随机环境中一类Pólya罐模型,利用鞅方法获得了罐中球数目的分布符合中偏差原理,进而推广传统Pólya罐模型的极限定理.

英文摘要：

In this paper,we consider some Pólya urn model in random environments.Applying the method of martingale,we obtain the moderate deviation principle for the distribution of balls in two colors.Furthermore,we extend the limit theorem for the classical urn models.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4139