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A class of variable selection procedures for parametric models via nonconcave penalized likelihood was proposed by Fan and Li to simultaneously estimate parameters and select important variables. They demonstrated that this class of…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Heng Peng

We consider nonparametric statistical inference for L\'evy processes sampled irregularly, at low frequency. The estimation of the jump dynamics as well as the estimation of the distributional density are investigated. Non-asymptotic risk…

Statistics Theory · Mathematics 2015-11-23 Johanna Kappus

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

Methodology · Statistics 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

Increasing practical interest has been shown in regression problems where the errors, or disturbances, are centred in a way that reflects particular characteristics of the mechanism that generated the data. In economics this occurs in…

Statistics Theory · Mathematics 2009-09-07 Peter Hall , Ingrid Van Keilegom

We are studying the problems of modeling and inference for multivariate count time series data with Poisson marginals. The focus is on linear and log-linear models. For studying the properties of such processes we develop a novel conceptual…

Methodology · Statistics 2017-04-10 Paul Doukhan , Konstantinos Fokianos , Bård Støve , Dag Tjøstheim

We consider nonparametric regression under covariate shift, where we observe samples from both the target distribution and a related but distinct source distribution. We introduce a novel object, the transfer function, and show that…

Statistics Theory · Mathematics 2026-03-09 Petr Zamolodtchikov

Bayesian nonparametric (BNP) models provide elegant methods for discovering underlying latent features within a data set, but inference in such models can be slow. We exploit the fact that completely random measures, which commonly used…

Machine Learning · Statistics 2020-07-17 Avinava Dubey , Michael Minyi Zhang , Eric P. Xing , Sinead A. Williamson

Nonparametric maximum likelihood estimators (MLEs) in inverse problems often have non-normal limit distributions, like Chernoff's distribution. However, if one considers smooth functionals of the model, with corresponding functionals of the…

Statistics Theory · Mathematics 2023-10-24 Piet Groeneboom

We study generalized additive partial linear models, proposing the use of polynomial spline smoothing for estimation of nonparametric functions, and deriving quasi-likelihood based estimators for the linear parameters. We establish…

Statistics Theory · Mathematics 2011-12-13 Li Wang , Xiang Liu , Hua Liang , Raymond J. Carroll

This paper investigates nonlinear panel regression models with interactive fixed effects and introduces a general framework for parameter estimation under potentially non-convex objective functions. We propose a computationally feasible…

Econometrics · Economics 2025-12-01 Kan Yao

This paper considers the problem of multi-sample nonparametric comparison of counting processes with panel count data, which arise naturally when recurrent events are considered. Such data frequently occur in medical follow-up studies and…

Statistics Theory · Mathematics 2009-04-21 N. Balakrishnan , Xingqiu Zhao

Functional graphical models have undergone extensive development during the recent years, leading to a variety models such as the functional Gaussian graphical model, the functional copula Gaussian graphical model, the functional Bayesian…

Methodology · Statistics 2026-01-23 Kyongwon Kim , Bing Li

We study linearization models for continuous one-parameter semigroups of parabolic type. In particular, we introduce new limit schemes to obtain solutions of Abel's functional equation and to study asymptotic behavior of such semigroups.…

Complex Variables · Mathematics 2009-07-16 Mark Elin , Dmitry Khavinson , Simeon Reich , David Shoikhet

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

Applications · Statistics 2018-10-12 Pavel Krupskii , Marc G. Genton

Bayesian nonparametric models offer a flexible and powerful framework for statistical model selection, enabling the adaptation of model complexity to the intricacies of diverse datasets. This survey intends to delve into the significance of…

Machine Learning · Computer Science 2024-04-02 Bahman Moraffah

This paper studies nonparametric identification in market level demand models for differentiated products with heterogeneous consumers. We consider a general class of models that allows for the individual specific coefficients to vary…

Econometrics · Economics 2022-01-19 Fabian Dunker , Stefan Hoderlein , Hiroaki Kaido

In functional linear regression, the parameters estimation involves solving a non necessarily well-posed problem and it has points of contact with a range of methodologies, including statistical smoothing, deconvolution and projection on…

Statistics Theory · Mathematics 2018-01-04 Andrea Ghiglietti , Francesca Ieva , Anna Maria Paganoni , Giacomo Aletti

We utilize copulas to constitute a unified framework for constructing and optimizing variational proposals in hierarchical Bayesian models. For models with continuous and non-Gaussian hidden variables, we propose a semiparametric and…

Machine Learning · Statistics 2016-05-19 Shaobo Han , Xuejun Liao , David B. Dunson , Lawrence Carin

Non-probabilistic convex model utilizes a convex set to quantify the uncertainty domain of uncertain-but-bounded parameters, which is very effective for structural uncertainty analysis with limited or poor-quality experimental data. To…

Other Statistics · Statistics 2018-01-18 Ni Bingyu , Jiang Chao , Huang Zhiliang