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Minimax Estimation of the Function of Parameters in Normal Distribution 被引量:2

Minimax Estimation of the Function of Parameters in Normal Distribution
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摘要 The estimation of the functionθ=exp{αμ+bσ2} of parameters (μ,σ2) in normal distribution N(μ,σ2) is discussed. And when the prior distributions ofμandσ2 are independent, under the loss function L(θ,δ)=(θ-1×δ-1)2, the Bayesian estimation and the existence and computing method on minimax estimation are deeply discussed.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第2期242-245,共4页 数学季刊(英文版)
关键词 normal distribution logarithmic normal distribution prior distribution Bayesian estimation minimax estimation 正规分布 对数 优先分布 贝叶斯估计 鞍点估计
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参考文献8

  • 1MENG Hong-ling, QIAO Chun-ping, ZHANG Kai-guang. The estimation of the function of prameters in normal distribution[J]. Journal of Zhengzhou University, 2005, 37(2): 38-40.
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同被引文献18

  • 1孟红玲,乔春平,张开广.正态分布参数函数的估计[J].郑州大学学报(理学版),2005,37(2):38-40. 被引量:6
  • 2俞钟行.W检验法程序[J].物探化探计算技术,1989,11(3):267-270. 被引量:2
  • 3亢效虎,罗纲成,崔胤,王先荣,毛叔其.应用数理统计对胎儿双顶径分布规律的研究[J].兰州大学学报(自然科学版),1995,31(1):84-86. 被引量:1
  • 4于向英,孟红玲,张开广.可测函数的K-L信息最小化[J].郑州大学学报(理学版),2006,38(3):28-31. 被引量:2
  • 5[1]Bradu D,Mundlak L.Estimation in lognormai liner models[J].JASA,1970,65:198-211.
  • 6[2]Evan I G,Shalion Z.A note on lognormal liner models[J].JASA,1974,69:779-787.
  • 7[3]Andrew L,Rukhik R.Improved estimation in lognormal models[J].JASA,1986,396:1046-1047.
  • 8[4]Zeller A.Bayesian and nonbayesian analysis of lognormal distribution and lognormal regression[J].SASA,1970,66:327-330.
  • 9[5]James O,Berger H M.Statistical Decision Theory[M].New York:John Wiley & Sons,1980.
  • 10[6]Shelemyabu A.The Theory of Statistical Inference[M].New York:Springer-Verlay,1971.

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