搜索结果: 1-7 共查到“理论统计学 Functional Data”相关记录7条 . 查询时间(0.109 秒)
Spatial Depth-Based Classification for Functional Data
Functional depths Functional outliers Spatial functional depth Supervised func-tional classification
2013/6/14
We enlarge the available number of functional depths by defining two new depth measures for curves. Both depths are based on a spatial approach: the functional spatial depth (FSD), that shows an inter...
Variance estimation and asymptotic confidence bands for the mean estimator of sampled functional data with high entropy unequal probability sampling designs
covariance function finite population Hajek approximation Horvitz-Thompso estimator Kullback-Leibler divergence rejective sampling unequal probability sampling without replacement
2012/11/23
For fixed size sampling designs with high entropy it is well known that the variance of the Horvitz-Thompson estimator can be approximated by the H\'ajek formula. The interest of this asymptotic varia...
Functional data often arise from measurements on fine time grids and are obtained by separating an almost continuous time record into natural consecutive intervals, for example, days. The functions th...
Weighted least squares methods for prediction in the functional data linear model
Cross-validation eigenfunction eigenvector functional data analysis functional linear regression mean squared error orthogonal series
2010/3/18
The problem of prediction in functional linear regression is conventionally addressed
by reducing dimension via the standard principal component basis. In this paper we
show that an alternative basi...
Large Deviations Theorems in Nonparametric Regression on Functional Data
Large deviation nonparametric regression functional data
2010/3/18
In this paper we prove large deviations principles for the Nadaraya-Watson estimator of the regression of a
real-valued variable with a functional covariate. Under suitable conditions, we show pointw...
Linear processes on functional spaces were born about fifteen years ago.
And this original topic went through the same fast development as the other
areas of functional data modeling such as PCA or ...
Support vector machine for functional data classification
Functional Data Analysis Support Vector Machine Classification Consistency
2010/4/29
In many applications, input data are sampled functions taking their values in infinite
dimensional spaces rather than standard vectors. This fact has complex consequences
on data analysis algorithms...