A Characterization of the Log-Density Smoothing Spline ANOVA Model

作者：Jeon Yongho^*

来源：Communications in Statistics - Theory and Methods, 2012, 41(12): 2081-2087.

DOI：10.1080/03610926.2011.606485

• Functional ANOVA model
• Log-density
• Nonparametric density estimation

In this article, we introduce a characterization of the log-density smoothing spline ANOVA model. We show that in a log-density ANOVA model of order r (consisting of the main effects and all the interactions of order up to r), the joint density function is uniquely determined by the collection of all r-dimensional marginal densities. Furthermore, the order r model is the largest log-density ANOVA model under which the joint density function is uniquely determined by the r-dimensional marginals. Our results are valid for log-density ANOVA model with other general structures.

• 出版日期2012