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Lomax分布极大似然估计的两点研究
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O212.1[理学—概率论与数理统计;理学—数学]
  • 作者机构：湖北师范学院数学与统计学院,湖北黄石435002
  • 相关基金：国家自然科学基金资助（10771175;11471105）.
作者： 李开灿, 刘大飞, 林存津
关键词： Lomax分布, 极大似然估计, 渐近正态性, Lomax distribution, the maximum likelihood estimation, asymptotic normality
中文摘要：

本文研究了Lomax分布参数极大似然估计的存在性和估计量的收敛性问题.利用严格的分析法和中心极限定理,获得了Lomax分布极大似然估计的存在性和估计量的渐近正态分布的结果,进一步推广到了有缺失数据的两个Lomax总体中,参数的极大似然估计有强相合性和渐近正态性.

英文摘要：

In this paper,we study the problems on existence and convergence of maximum likelihood estimation of parameters in Lomax distribution.Using a strict analysis method and the center limit theorem,we obtain some results that the maximum likelihood estimation of parameters in Lomax distribution exists,and the estimators are the asymptotic normal distribution.Further promoting to the situations in two Lomax populations with partially missing data,the maximum likelihood estimations possess the strong consistency and asymptotic normality.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,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:3910