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This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

Machine Learning · Statistics 2021-10-12 K. P. Chowdhury

A class of R-estimators based on the concepts of multivariate signed ranks and the optimal rank-based tests developed in Hallin and Paindaveine [Ann. Statist. 34 (2006)] is proposed for the estimation of the shape matrix of an elliptical…

Statistics Theory · Mathematics 2011-11-10 Marc Hallin , Hannu Oja , Davy Paindaveine

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

Currently, the high-precision estimation of nonlinear parameters such as Gini indices, low-income proportions or other measures of inequality is particularly crucial. In the present paper, we propose a general class of estimators for such…

Methodology · Statistics 2014-07-01 Camelia Goga , Anne Ruiz-Gazen

The traditional kernel density estimator of an unknown density is by construction completely nonparametric, in the sense that it has no preferences and will work reasonably well for all shapes. The present paper develops a class of…

Methodology · Statistics 2026-05-05 Nils Lid Hjort , Ingrid Kristine Glad

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

Methodology · Statistics 2020-08-04 Muxuan Liang , Menggang Yu

We consider a joint asymptotic framework for studying semi-nonparametric regression models where (finite-dimensional) Euclidean parameters and (infinite-dimensional) functional parameters are both of interest. The class of models in…

Statistics Theory · Mathematics 2015-06-04 Guang Cheng , Zuofeng Shang

In many statistical and econometric applications, we gather individual samples from various interconnected populations that undeniably exhibit common latent structures. Utilizing a model that incorporates these latent structures for such…

Methodology · Statistics 2023-09-19 Archer Gong Zhang , Jiahua Chen

When the response mechanism is believed to be not missing at random (NMAR), a valid analysis requires stronger assumptions on the response mechanism than standard statistical methods would otherwise require. Semiparametric estimators have…

Methodology · Statistics 2020-05-08 Kosuke Morikawa , Jae Kwang Kim

In this paper we study the problem of statistical inference on the parameters of the semiparametric variance-mean mixtures. This class of mixtures has recently become rather popular in statistical and financial modelling. We design a…

Other Statistics · Statistics 2017-05-23 Denis Belomestny , Vladimir Panov

Triangular systems with nonadditively separable unobserved heterogeneity provide a theoretically appealing framework for the modelling of complex structural relationships. However, they are not commonly used in practice due to the need for…

Econometrics · Economics 2019-10-08 Victor Chernozhukov , Iván Fernández-Val , Whitney Newey , Sami Stouli , Francis Vella

We consider a log-linear model for survival data, where both the location and scale parameters depend on covariates and the baseline hazard function is completely unspecified. This model provides the flexibility needed to capture many…

Methodology · Statistics 2019-01-16 Kevin Burke , Frank Eriksson , C. B. Pipper

In this article, we construct semiparametrically efficient estimators of linear functionals of a probability measure in the presence of side information using an easy empirical likelihood approach. We use estimated constraint functions and…

Methodology · Statistics 2023-03-01 Shan Wang , Hanxiang Peng

Nonparametric estimation of the mean and covariance functions is ubiquitous in functional data analysis and local linear smoothing techniques are most frequently used. Zhang and Wang (2016) explored different types of asymptotic properties…

Statistics Theory · Mathematics 2025-01-28 Shaojun Guo , Dong Li , Xinghao Qiao , Yizhu Wang

We present algorithms for nonparametric regression in settings where the data are obtained sequentially. While traditional estimators select bandwidths that depend upon the sample size, for sequential data the effective sample size is…

Methodology · Statistics 2012-07-03 Haijie Gu , John Lafferty

This paper presents an estimator for semiparametric models that uses a feed-forward neural network to fit the nonparametric component. Unlike many methodologies from the machine learning literature, this approach is suitable for…

Applications · Statistics 2017-05-19 Andrew Crane-Droesch

Predicting scalar outcomes using functional predictors is a classic problem in functional data analysis. In many applications, however, only specific locations or time-points of the functional predictors have an impact on the outcome. Such…

Statistics Theory · Mathematics 2020-07-14 Dominik Poß , Dominik Liebl , Alois Kneip , Hedwig Eisenbarth , Tor D. Wager , Lisa Feldman Barrett

The empirical distribution function assigns mass $1/n$ to each of the $n$ observations in a sample. As these are highly variable, estimation error may be reduced by replacing them with estimated observations that are asymptotically less…

Methodology · Statistics 2026-05-26 Tommaso Lando , Lorenzo Tedesco

Conventional approaches to statistical inference preclude structures that facilitate incorporation of supplemental information acquired from similar circumstances. For example, the analysis of data obtained using perfusion computed…

Applications · Statistics 2015-11-18 Thomas A. Murray , Brian P. Hobbs , Bradley P. Carlin

In modelling time series data coming from different sources, frequencies can easily vary since some variable can be measured at higher frequencies, others, at lower frequencies. Given data measured over spatial units and at varying…

Methodology · Statistics 2025-03-05 Vladimir A. Malabanan , Joseph Ryan G. Lansangan , Erniel B. Barrios