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正态总体均值与标准差比在简单半序约束下的最大似然估计(英文)
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O212.4[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]Department of Mathematics and Physics Liaoning University of Technology
  • 相关基金：the National Natural Science Foundation of China (No.10431010);; the Science Foundation of the Educational Department of Liaoning Province (No. 20060409)
作者： 史海芳[1], 李树有[1], 姬永刚[1]
中文摘要：

For two normal populations with unknown means μi and variances σi2 > 0, i = 1,2, assume that there is a semi-order restriction between ratios of means and standard deviations and sample numbers of two normal populations are different. A procedure of obtaining the maximum likelihood estimators of μi’s and σi’s under the semi-order restrictions is proposed. For i = 3 case, some connected results and simulations are given.

英文摘要：

For two normal populations with unknown means μi and variances σi2 > 0, i = 1,2, assume that there is a semi-order restriction between ratios of means and standard deviations and sample numbers of two normal populations are different. A procedure of obtaining the maximum likelihood estimators of μi’s and σi’s under the semi-order restrictions is proposed. For i = 3 case, some connected results and simulations are given.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 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
  • 被引量:36