期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类最优无偏估计方程 被引量：1

A class of optimal unbiased estimating equations
下载PDF
导出
摘要 基于估计函数的最优性准则理论,给出一类最优无偏估计方程及其性质.得到的结果为寻找最优估计方程提供一个很好的理论方法.该方法可以提高估计的效率,在实际理论应用中具有重要意义. This paper gives a class of optimal unbiased estimating equations and their properties based on the theory of optimality criteria of estimating functions.The result provides a good theory and method to decide how to select optimal estimating equations.This method is applicable in practice,can use the method to increase the dfficieucy of estimates.
作者 赵慧秀 马文卿
机构地区 南京理工大学理学院 东北师范大学数学与统计学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2010年第2期7-10,共4页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10701022) 国家社会科学基金资助项目(09BTJ004)
关键词 估计函数 最优性准则 估计方程 estimating functions optimality criteria estimating equations
分类号 O212 [理学—概率论与数理统计]
  • 相关文献

参考文献14

  • 1GODAMBE V P. An optimun property of regular maximum likelihood estimation[J]. Annals of Mathematical Statistics, 1960, 31:1208-1212.
  • 2KIMBALL B F. Sufficient statistical estimation funcitions for the parameters of the distribution of maximum values[J]. Annals of Mathematical Statistics, 1946,17 : 299-309.
  • 3WILKS S S. Mathematical statistics[M]. New York: Wiley, 1948 : 26-109.
  • 4KALE B K. An extension of Cramer-Rao inequality for statistical estimation functions[J]. Skandinavisk Aktuarietid, 1962,45: 60-82.
  • 5KALE B K. Essential uniqueness of optimal estimating functions[J]. Journal of Statistical Planning and Inference, 1946,17: 405-407.
  • 6MCLEISH D L,SMALL C G. The theory and applications of statistical inference functions[C]//Springer Lecture Notes in Statistics NO. 44. New York: Springer-Verlag, 1988 : 160-165.
  • 7GODAMBE V P, H EYDE C C. Quasi-likelihood and optimal estimation[J]. International Statistical Review, 1987, 55 (3): 231-244.
  • 8WILKS S S. Shortest average confidence intervals large saples[J]. Annals of Mathematical Statistics, 1938,9. 166-175.
  • 9GODAMBE V,KALE B. Estimating functions: an overview [G]//GODAMBE V, ed. Estimating Functions. Oxford: Clarendon Press,1991:3-20.
  • 10DURBIN J. Estimation of parameters in time series regression models[J].Journal of the Royal Statistical Society: Series B, 1960,22:139- 153.

二级参考文献10

  • 1GUO J H,MA Y P,SHI N z,et al.Testing for homogeneity of relative differences under inverse sampling[J].Computational Statistics & Data Analysis,2004,44:613-624.
  • 2SPIELMAN R S,MCGINNIS R E,EWENS W J.Transmission test for linkage disequilibrium:the insulin gene region and insu-lin-dependent diabetes mellitus(IDDM)[J].Am J Hum Genet,1993,52:506-516.
  • 3BOEHNKE M,LANGEFELD C D.Genetic association mapping based on discordant sib pairs;the discordant-alleles test[J].Am J Hum Genet,1998,62:950-961.
  • 4SPIELMAN R S,EWENS W J.A sibship test for linkage in the presence of association:the sib transmission/disequilibrium test[J].Am J Hum Genet,1998,62:450-458.
  • 5TAO J,SHI N Z LEE S Y.Drug risk assessment with determining the number of sub-populations under finite mixture normal models[J].Computational Statistics & Data Analysis,2004,46:661-676.
  • 6PRITCHARD J K,ROSENBERG N A.Use of unlinked genetic markers to detect population stratification in association studies[J].Am J Hum Genet.1999,65:220-228.
  • 7PRITCHARD J K,STEPHENS M,DONNELLY P.Inference of population structure using multilocus genotype data[J].Ge-netics,2000,155:945-959.
  • 8SATTEN G A,FLANDERS W D,YANG Q H.Accounting for unmeasured population substructure in case-control studies of genetic association using a novel latent-class model[J].Am J Hum Genet,2001,68:466-477.
  • 9MENG X L,RUBIN D B.Maximum likelihood estimation via the ECM algorithm:a general framework[J].Biometrika,1993,80:267-278.
  • 10孟丽新,刘洪.基于EM算法约束条件下参数的估计[J].东北师大学报（自然科学版）,2008,40(4):28-32. 被引量：6

共引文献60

同被引文献5

引证文献1

二级引证文献3

东北师大学报（自然科学版）
2010年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部