期刊文献+

两变量异方差随机系数回归模型的最优设计 被引量:1

Optimal Desings of Bivariate Random Coefficient Regression Model With Heteroscedastic Errors
下载PDF
导出
摘要 文章研究了具有异方差误差结构的两变量随机系数回归模型的最优设计,证明了当异方差误差结构满足一个充分条件时,模型在几类经典设计准则下的最优设计可以在设计域的顶点处获得。 In this paper, optimal designs of bivariate coefficient regression model with heteroscedastic errors are discussed. A sufficient condition is established to make sure that the searching of optimal designs can be obtained on the vertexes of the de- sign region.
作者 程靖 岳荣先
出处 《统计与决策》 CSSCI 北大核心 2017年第7期64-66,共3页 Statistics & Decision
基金 国家自然科学基金资助项目(11401056 11471216) 安徽省环保厅科研资助项目(2015-5) 安徽农业大学稳定与引进人才项目(yj2015-27)
关键词 最优设计 随机系数 异方差 Key words: optimal design random coefficient heteroscedastic errors
  • 相关文献

参考文献1

二级参考文献12

  • 1Longford, N.T., Random Cofficient Models, Clarendon Press, Oxford, 1993.
  • 2Liski, E.P. and Nummi, T., Prediction of tree stems to improve efficiency in automatized harvesting of forests, Scandinavian Journal of Statistics, 22(1995a), 255-259.
  • 3Liski, E.P. and Nummi, T., Prediction and inverse estimation in repeated-measures models, Journal of Statistical Planning and Inference, 47(1995b), 141-151.
  • 4Pena, D. and Yohai, V., A Dirichlet random coefficient regression model for quality indicators, Journal of Statistical Planning and Inference, 136(2006), 942-961.
  • 5Entholzner, M., Benda, N., Schmelter, T. and Schwabe, R., A note on designs for estimating popu- lation parameter, Listy Biometryczne-Biometrical Letters, 42(2005), 25-41.
  • 6Schmelter, T., The optimality of single-group designs for certain mixed models, Metrika, 65(2007a), 183-193.
  • 7Schmelter, T., Consideration on group-wise identical designs for linear mixed models, Journal of Statistical Planning and Inference, 137(2007b): 4003-4010.
  • 8Schwabe, R. and Schmelter, T., On optimal designs in random intercept models, Tatra Mountains Mathematical Publications, 39(2008), 189-195.
  • 9Schmelter, T., Benda, N. and Schwabe, R., Some curiosities in optimal designs for random slopes, Contributions to Statistics, MoDa 8 - Advance in Model Oriented Design and Analysis, Physica-Verlag HD, 2007, 189-195.
  • 10Luoma, A., Nummia, T. and Sinha, B.K., Optimal designs in random coefficient cubic regression models, Journal of Statistical Planning and Inference, 137(2007), 3611-3617.

共引文献3

同被引文献2

引证文献1

二级引证文献2

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