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基于Lasso方法的平衡纵向数据模型变量选择 被引量:4

Variable selection via Lasso method in balanced longitudinal data model
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摘要 应用Lasso方法研究平衡纵向数据模型的变量选择问题。通过Lasso方法可将模型的系数进行压缩并使之趋于零,甚至使一些系数等于零,利用LARS算法对回归系数进行排序,并采用AIC和BIC准则进行截取,从而达到变量选择的目的。同时证明该方法的一些理论特性,并从仿真模拟中分析了该方法的主要特点。作为实际应用,本方法可以有效地从众多的环境因素中寻找影响蝙蝠活动的主要因素。 The Lasso method is applied to study variable selection problem in balanced longitudinal data model. This method can shrink the coefficients toward to zeros, and even set some coefficients to zeros, then LARS algo- rithm is used to sequence the coefficients, and AIC and BIC criteria are used to select the tuning parameters. Fur- thermore, some theoretical properties are proved, and the characteristics of the approach are presented from some simulation results. As an application, this approach is applied to find out the main factors which have influence to the activities of bats effectively.
作者 曲婷 王静
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2012年第6期715-722,726,共9页 Journal of Natural Science of Heilongjiang University
基金 国家自然科学基金重点资助项目(31030011) 国家自然科学基金面上资助项目(30870371) 东北师范大学人文学院青年教师科研基金资助项目(2010004)
关键词 平衡纵向数据模型 变量选择 Lasso LARS AIC BIC balanced longitudinal data model variable selection Lasso LARS AIC BIC
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参考文献25

  • 1HAND D, CROWDER M. Practical longitudinal data analysis[ M]. New York: Chapman and Hall, 1995.
  • 2DIGGLE P J, HEAGERTY P J, LIANG K Y, et al. Analysis of longitndinal data[ M]. New York: Oxford University Press Inc, 2002.
  • 3SINGER J D,WILLETT J B. Applied longitudinal data analysis[ M]. New York: Oxford University Press, 2003.
  • 4FITZMAURICE G M, LAIRD N M,WARE J H. Applied longitudinal analysis[ M]. New York: Wiley, 2004.
  • 5BREIMAN L. Heuristics of instability and stabilization in model selection[ J]. Ann Statist, 1996,24(6) : 2350 -2383.
  • 6FAN Jian-qing, LI Run-ze. Variable selection via nonconcave penalized likelihood and its oracle properties [ J ]. Journal of the American Statistical Association, 2001,96 : 1348 - 1360.
  • 7FRANK 1 E, FRIEDMAN J H. A statistical view of some chemometrics regression tools[ J ]. Technometrics, 1993,35: 109 -148.
  • 8TIBSHIRANI R. Regression shrinkage and selection via the Lasso[ J ]. Journal of the Royal Statistical Society, Series B, 1996, 58:267 -288.
  • 9DONOHO D L, JOHNSTONE I, KERKYACHARIAN G, et al. Wavelet shrinkage: asymptopia? (with discussion) [ J]. Journal of the Royal Sta- tistical Society, Ser B, 1995,57 : 301 - 337.
  • 10DONOHO D L. For most large underdetennined systems of equations, the minimal lI -norm solution is the sparsest solution [ R]. Stanford:Stan- ford University ,2004.

同被引文献29

  • 1袁萍,刘士余,高峰.关于中国上市公司董事会、监事会与公司业绩的研究[J].金融研究,2006(6):23-32. 被引量:85
  • 2Fitzmaurice G M, Laird N M, Ware J H. Applied longitudinal analysis[ M]. John Wiley & Sons, 2012.
  • 3Liu H, et al. PRESS model selection in repeated measures data[ J]. Computational statistics & data analysis, 1999, 30(2) : 169 - 184.
  • 4Tibshirani R. Regression shrinkage and selection via the lasso[ J ] Journal of the Royal Statistical Society. Series B (Methodological) 1996, 58(1): 267-288.
  • 5Fan J, Li R. Variable selection via nonconcave penalized likelihood and its oracle properties [ J ]. Journal of the American Statistical Association, 2001, 96(456): 1348- 1360.
  • 6Knight K, Fu W. Asymptotics for lasso-type estimators[ J]. Annals of Statistics, 2000, 28 (5) : 1356 - 1378.
  • 7Zou H. The adaptive lasso and its oracle properties [ J ]. Journal of the American statistical association, 2006, 101 (476): 1418-1429.
  • 8Fan J, Peng H. Nonconcave penalized likelihood with a diverging number of parameters [ J ]. The Annals of Statistics, 2004, 32 ( 3 ) : 928 -961.
  • 9Huang J, Horowitz J L, Ma S. Asymptotic properties of bridge estimators in sparse high-dimensional regression models [ J ]. The Annals of Statistics, 2008, 36 (2) : 587 - 613.
  • 10Huang J, Ma S, Zhang C H. i Adaptive Lasso for sparse high- dimensional regression models [ J ]. Statistica Sinica, 2008, 18 (4) : 1603 - 1618.

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