期刊文献+

异方差模型中多种误差分布下的D-最优设计 被引量:2

D-optimal Designs of Various Errors Distributions in Heteroscedastic Models
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摘要 对于混合效应模型,本文在异方差模型中,以误差分布exp{-cx2}为例,对于多种误差分布,构造出一种新的D-最优设计过程,并用广义化一般等价定理(GKWT)验证这种设计的最优性. To the mixed effects models, we take the errors distribution exp{- cx^2} for example to construct a new process of D-optimal design of various errors distributions in heteroscedastic models, and prove the optimality with the Generalized KWT(GKWT).
出处 《数学的实践与认识》 CSCD 北大核心 2005年第9期76-82,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金项目(10001007) 大连民族学院博士科研启动基金(20056201)
关键词 异方差模型 误差分布 D-最优设计 信息矩阵 混合效应 等价定理 heteroscedastic information matrix D-optimal mixed effects block design approximate design exact design support point
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参考文献7

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  • 2刘昌孝.中药药代动力学研究的难点和热点[J].药学学报,2005,40(5):395-401. 被引量:89
  • 3刘建国,郭强,夏尊铨.混合效应模型的最优区组设计[J].数学的实践与认识,2005,35(5):97-103. 被引量:1
  • 4Longford N T. Random Cotticient Models [M]. Oxford: Clarendon Press, 1993.
  • 5Liski E P, and Nummi T. Prediction of tree stems to improve efficiency in automatized harvesting of forests [J]. Seadinavian Journal of Statistics, 1995, 22: 255-259.
  • 6Liski E P, and Nummi T. Prediction in repeated-measures models with engineering applications [J].Technometrics, 1996, 38:25 36.
  • 7Pena D and Yohai V. A Dirichlet random coefficient regression model for quality indicators [J]. Journal of Statistical Planning and Inference, 2006, 136:942 961.
  • 8Entholzner M, Benda N, SchInelter T, and Schwabe R. A note on designs for estimating population parameter [J]. Listy Biometryczne-Biometrical Letters, 2005, 42: 25-41.
  • 9Schmelter T. The optimality of single-group designs for certain mixed models [J]. Metrika, 2007, 65: 183 193.
  • 10Schmelter T. Consideration on group-wise identical designs for linear mixed models [J]. Journal of Statistical Planning and Inference, 2007, 137:4003 4010.

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