期刊
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
卷 74, 期 1, 页码 67-89出版社
OXFORD UNIV PRESS
DOI: 10.1111/j.1467-9868.2011.01008.x
关键词
Conditional distribution function; Conditional reference chart; Functional data analysis; Growth data analysis; Quantile analysis; Uniform weak convergence
资金
- National Science Foundation [DMS08-06199, DMS-1104426]
Motivated by the conditional growth charts problem, we develop a method for conditional quantile analysis when predictors take values in a functional space. The method proposed aims at estimating conditional distribution functions under a generalized functional regression framework. This approach facilitates balancing of model flexibility and the curse of dimensionality for the infinite dimensional functional predictors. Its good performance in comparison with other methods, both for sparsely and for densely observed functional covariates, is demonstrated through theory as well as in simulations and an application to growth curves, where the method proposed can, for example, be used to assess the entire growth pattern of a child by relating it to the predicted quantiles of adult height.
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