An effective method for high-dimensionallog-density anova estimation, with application to nonparametric graphical model building

Statistica Sinica

Volumn 16, Issue 2, 2006, Pages 353-374

  Jeon, Yongho ^a,b   Lin, Yi ^a,b  

^a UNIVERSITY OF WISCONSIN   (United States)

^b University of Wisconsin   (United States)

Author keywords

Density estimation; Functional ANOVA model; Graphical model; Model selection; Penalized M estimation

Indexed keywords

EID: 33746124673     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Cox, D. D. and O'Sullivan, F. (1990). Asymptotic analysis of penalized likelihood and related estimators. Ann. Statist. 18, 1676-1695.
2. Edwards, D. (2000). Introduction to Graphical Modelling. Springer-Verlag Inc.
3. Gu, C. (1993). Smoothing spline density estimation: a dimensionless automatic algorithm. J. Amer. Statist. Assoc. 88, 495-504.
4. Gu, C. (2002). Smoothing Spline ANOVA Models. Springer-Verlag Inc.
5. Gu, C. and Qiu, C. (1993). Smoothing spline density estimation: theory. Ann. Statist. 21, 217-234.
6. Gu, C. and Wang, J. (2003). Penalized likelihood density estimation: direct cross-validation and scalable approximation. Statist. Sinica 13, 811-826.
7. Leonard, T. (1978). Density estimation, stochastic processes and prior information. J. Roy. Statist. Soc. Ser. B 40, 113-132.
8. Lin, Y. and Zhang, H. H. (2002). Component selection and smoothing in smoothing spline analysis of variance models. Tech. Rep. 1072, Department of Statistics, University of Wisconsin-Madison.
9. Silverman, B. W. (1982). On the estimation of a probability density function by the maximum penalized likelihood method. Ann. Statist. 10, 795-810.
10. Wahba, G. (1990). Spline Models for Observational Data. SIAM, Philadelphia.
11. Whittaker, J. (1990). Graphical Models in Applied Multivariate Statistics. John Wiley, New York.