Functional regression

JS Morris - Annual Review of Statistics and Its Application, 2015 - annualreviews.org
Functional data analysis (FDA) involves the analysis of data whose ideal units of
observation are functions defined on some continuous domain, and the observed data …

Bayesian modelling and inference on mixtures of distributions

JM Marin, K Mengersen, CP Robert - Handbook of statistics, 2005 - Elsevier
Publisher Summary Mixture distributions comprise a finite or infinite number of components,
possibly of different distributional types, that can describe different features of data. The …

Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009 - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

An adaptive estimation of dimension reduction space

Y Xia, H Tong, WK Li, LX Zhu - Journal of the Royal Statistical …, 2002 - academic.oup.com
Searching for an effective dimension reduction space is an important problem in regression,
especially for high dimensional data. We propose an adaptive approach based on …

Methods for scalar‐on‐function regression

PT Reiss, J Goldsmith, HL Shang… - International Statistical …, 2017 - Wiley Online Library
Recent years have seen an explosion of activity in the field of functional data analysis (FDA),
in which curves, spectra, images and so on are considered as basic functional data units. A …

[图书][B] Kendall's advanced theory of statistic 2B

A O'Hagan - 2010 - books.google.com
Kendall's Advanced Theory of Statistics and Kendall's Library of Statistics The development
of modern statistical theory in the past fifty years is reflected in the history of the late Sir …

Wavelet-based functional mixed models

JS Morris, RJ Carroll - Journal of the Royal Statistical Society …, 2006 - academic.oup.com
Increasingly, scientific studies yield functional data, in which the ideal units of observation
are curves and the observed data consist of sets of curves that are sampled on a fine grid …

The functional nonparametric model and application to spectrometric data

F Ferraty, P Vieu - Computational Statistics, 2002 - Springer
The aim of this paper is to present a nonparametric regression model with scalar response
when the explanatory variables are curves. In this context, the crucial problem of dimension …

A survey of Bayesian calibration and physics-informed neural networks in scientific modeling

FAC Viana, AK Subramaniyan - Archives of Computational Methods in …, 2021 - Springer
Computer simulations are used to model of complex physical systems. Often, these models
represent the solutions (or at least approximations) to partial differential equations that are …

Elastic net regression modeling with the orthant normal prior

C Hans - Journal of the American Statistical Association, 2011 - Taylor & Francis
The elastic net procedure is a form of regularized optimization for linear regression that
provides a bridge between ridge regression and the lasso. The estimate that it produces can …