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High-Dimensional Spatial Quantile Function-on-Scalar Regression

This article develops a novel spatial quantile function-on-scalar regression model, which studies the conditional spatial distribution of a high-dimensional functional response given scalar predictors. With the strength of both quantile regression and copula modeling, we are able to explicitly characterize the conditional distribution of the functional or image response on the whole spatial domain. Our method provides a comprehensive understanding of the effect of scalar covariates on functional responses across different quantile levels and also gives a practical way to generate new images for given covariate values. Theoretically, we establish the minimax rates of convergence for estimating coefficient functions under both fixed and random designs. We further develop an efficient primal-dual algorithm to handle high-dimensional image data. Simulations and real data analysis are conducted to examine the finite-sample performance.

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (JASA); Vol.117 No.539 September 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 1563-1578

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

QUANTILE REGRESSION
IMAGE ANALYSIS
MINIMAX RATE OF CONVERGENCE
REPRODUCING KERNEL HILBERT SPACE
COPULA
FUNCTION-ON-SCALAR REGRESSION

Info Detail Spesifik

https://doi.org/10.1080/01621459.2020.1870984

Pernyataan Tanggungjawab

Zhengwu Zhang, Xiao Wang, Linglong Kong, Hongtu Zhu

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