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The paper deals with generalized functional regression. The aim is to estimate the influence of covariates on observations, drawn from an exponential distribution. The link considered has a semiparametric expression: if we are interested in…

Statistics Theory · Mathematics 2013-09-20 Irène Gannaz

This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their technical…

Methodology · Statistics 2014-04-01 Alexander Aue , Diogo Dubart Norinho , Siegfried Hörmann

In this article we propose a boosting algorithm for regression with functional explanatory variables and scalar responses. The algorithm uses decision trees constructed with multiple projections as the "base-learners", which we call…

Methodology · Statistics 2023-04-07 Xiaomeng Ju , Matías Salibián-Barrera

Traditional functional linear regression usually takes a one-dimensional functional predictor as input and estimates the continuous coefficient function. Modern applications often generate two-dimensional covariates, which become matrices…

Methodology · Statistics 2024-11-26 Dan Yang , Jianlong Shao , Haipeng Shen , Hongtu Zhu

Robust estimation and variable selection procedure are developed for the extended t-process regression model with functional data. Statistical properties such as consistency of estimators and predictions are obtained. Numerical studies show…

Applications · Statistics 2018-12-20 Zhanfeng Wang , Kai Li , Jian Qing Shi

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

Methodology · Statistics 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

We develop a new approximative estimation method for conditional Shapley values obtained using a linear regression model. We develop a new estimation method and outperform existing methodology and implementations. Compared to the sequential…

Methodology · Statistics 2025-04-28 Fredrik Lohne Aanes

Penalized regression methods, such as lasso and elastic net, are used in many biomedical applications when simultaneous regression coefficient estimation and variable selection is desired. However, missing data complicates the…

In this paper, we propose a novel method to select significant variables and estimate the corresponding coefficients in multiple-index models with a group structure. All existing approaches for single-index models cannot be extended…

Statistics Theory · Mathematics 2015-04-13 Tao Wang , Peirong Xu , Lixing Zhu

The modeling and analysis of degradation data have been an active research area in reliability and system health management. As the senor technology advances, multivariate sensory data are commonly collected for the underlying degradation…

Applications · Statistics 2021-10-19 Yueyao Wang , I-Chen Lee , Yili Hong , Xinwei Deng

In this paper we propose a wavelet-based methodology for estimation and variable selection in partially linear models. The inference is conducted in the wavelet domain, which provides a sparse and localized decomposition appropriate for…

Methodology · Statistics 2016-09-26 Norbert Remenyi

Spatial regression models have a variety of applications in several fields ranging from economics to public health. Typically, it is of interest to select important exogenous predictors of the spatially autocorrelated response variable. In…

Methodology · Statistics 2025-10-31 Sagar Pandhare , Divya Kappara , Siuli Mukhopadhyay

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

Methodology · Statistics 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

We develop a fully Bayesian framework for function-on-scalars regression with many predictors. The functional data response is modeled nonparametrically using unknown basis functions, which produces a flexible and data-adaptive functional…

Methodology · Statistics 2018-10-25 Daniel R. Kowal , Daniel C. Bourgeois

Linear regression models have been extensively considered in the literature. However, in some practical applications they may not be appropriate all over the range of the covariate. In this paper, a more flexible model is introduced by…

Statistics Theory · Mathematics 2023-12-19 Graciela Boente , Florencia Leonardi , Daniela Rodriguez , Mariela Sued

We propose a penalized likelihood method to fit the bivariate categorical response regression model. Our method allows practitioners to estimate which predictors are irrelevant, which predictors only affect the marginal distributions of the…

Methodology · Statistics 2022-01-25 Aaron J. Molstad , Adam J. Rothman

This paper is concerned with model averaging estimation for partially linear functional score models. These models predict a scalar response using both parametric effect of scalar predictors and non-parametric effect of a functional…

Methodology · Statistics 2021-05-04 Shishi Liu , Hao Zhang , Jingxiao Zhang

To solve complex real-world problems, heuristics and concept-based approaches can be used in order to incorporate information into the problem. In this study, a concept-based approach called variable functioning Fx is introduced to reduce…

Computational Engineering, Finance, and Science · Computer Science 2022-05-17 Amir H Gandomi , Kalyanmoy Deb , Ronald C Averill , Shahryar Rahnamayan , Mohammad Nabi Omidvar

Causal effect estimation is a critical task in statistical learning that aims to find the causal effect on subjects by identifying causal links between a number of predictor (or, explanatory) variables and the outcome of a treatment. In a…

Methodology · Statistics 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

In this paper, we investigate dynamic feature selection within multivariate time-series scenario, a common occurrence in clinical prediction monitoring where each feature corresponds to a bio-test result. Many existing feature selection…

Machine Learning · Computer Science 2024-05-31 Yutong Chen , Jiandong Gao , Ji Wu