Causal effect of functional treatment

R Tan, W Huang, Z Zhang, G Yin - arXiv preprint arXiv:2210.00242, 2022 - arxiv.org
Functional data often arise in the areas where the causal treatment effect is of interest.
However, research concerning the effect of a functional variable on an outcome is typically …

Extreme quantile estimation for partial functional linear regression models with heavy‐tailed distributions

H Zhu, Y Li, B Liu, W Yao… - Canadian Journal of …, 2022 - Wiley Online Library
In this article, we propose a novel estimator of extreme conditional quantiles in partial
functional linear regression models with heavy‐tailed distributions. The conventional …

High-dimensional mixed-frequency IV regression

A Babii - Journal of Business & Economic Statistics, 2022 - Taylor & Francis
This article introduces a high-dimensional linear IV regression for the data sampled at mixed
frequencies. We show that the high-dimensional slope parameter of a high-frequency …

Statistical inference for function-on-function linear regression

H Dette, J Tang - Bernoulli, 2024 - projecteuclid.org
Statistical inference for function-on-function linear regression Page 1 Bernoulli 30(1), 2024,
304–331 https://doi.org/10.3150/23-BEJ1598 Statistical inference for function-on-function …

Linearized maximum rank correlation estimation when covariates are functional

W Xu, X Zhang, H Liang - Journal of Multivariate Analysis, 2024 - Elsevier
This paper extends the linearized maximum rank correlation (LMRC) estimation proposed
by Shen et al.(2023) to the setting where the covariate is a function. However, this extension …

Confidence and Prediction Bands in Linear and Nonlinear Chemometric Regression Models

C Romero Prieto, L Guzmán Alegria - Analytical Letters, 2024 - Taylor & Francis
Confidence bands are used to estimate the likely range of the true parameter, whereas
prediction bands provide an idea of the possible values of the parameter after applying a …

Latent group detection in functional partially linear regression models

W Wang, Y Sun, HJ Wang - Biometrics, 2023 - Wiley Online Library
In this paper, we propose a functional partially linear regression model with latent group
structures to accommodate the heterogeneous relationship between a scalar response and …

Statistical inference for the slope parameter in functional linear regression

T Kutta, G Dierickx, H Dette - Electronic Journal of Statistics, 2022 - projecteuclid.org
In this paper, we consider the linear regression model Y= SX+ ε with functional regressors
and responses. We develop new inference tools to quantify deviations of the true slope S …

Estimation and inference in partially functional linear regression with multiple functional covariates

W Xu, H Ding, R Zhang, H Liang - Journal of Statistical Planning and …, 2020 - Elsevier
In this paper, we consider the estimation and inference in partially functional linear
regression with multiple functional covariates. We estimate the parameters and the slope …

[PDF][PDF] Pivotal goodness-of-fit measures in functional data analysis

TM Kutta - 2022 - scholar.archive.org
In the last decades, new branches of statistical research have developed to meet the needs
of an economy with growing data volumes at its disposal. One approach to analyze large …