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Compared to mean regression and quantile regression, the literature on modal regression is very sparse. A unifying framework for Bayesian modal regression is proposed, based on a family of unimodal distributions indexed by the mode, along…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang , Rai Bai

Penalized likelihood and quasi-likelihood methods dominate inference in high-dimensional linear mixed-effects models. Sampling-based Bayesian inference is less explored due to the computational bottlenecks introduced by the random effects…

Methodology · Statistics 2025-07-24 Sreya Sarkar , Kshitij Khare , Sanvesh Srivastava

Under a single-index regression assumption, we introduce a new semiparametric procedure to estimate a conditional density of a censored response. The regression model can be seen as a generalization of Cox regression model and also as a…

Statistics Theory · Mathematics 2009-03-22 Olivier Bouaziz , Olivier Lopez

We study a nonparametric Bayesian approach to linear inverse problems under discrete observations. We use the discrete Fourier transform to convert our model into a truncated Gaussian sequence model, that is closely related to the classical…

Statistics Theory · Mathematics 2018-10-31 Shota Gugushvili , Aad van der Vaart , Dong Yan

We consider nonparametric estimation of a mixed discrete-continuous distribution under anisotropic smoothness conditions and possibly increasing number of support points for the discrete part of the distribution. For these settings, we…

Statistics Theory · Mathematics 2018-06-21 Andriy Norets , Justinas Pelenis

Univariate and multivariate general linear regression models, subject to linear inequality constraints, arise in many scientific applications. The linear inequality restrictions on model parameters are often available from phenomenological…

Methodology · Statistics 2021-12-07 Solmaz Seifollahi , Kaniav Kamary , Hossein Bevrani

Our comment on Garc\'ia-Donato et al. (2025). "Model uncertainty and missing data: An objective Bayesian perspective" explores a further extension of the proposed methodology. Specifically, we consider the sequential setting where…

Methodology · Statistics 2025-10-01 Sebastian Arnold , Alexander Ly

We propose a way to remove the bias of a Poisson regression when the subjects are partially observed. In this paper we address this issue under certain assumptions about the missing-data generating process. We fix the total number of…

Statistics Theory · Mathematics 2014-07-08 Seyed Jalil Kazemitabar

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

Methodology · Statistics 2025-08-01 Jeonghwa Lee , Chloe Breece

Prediction methods for time-to-event outcomes often utilize survival models that rely on strong assumptions about noninformative censoring or on how individual-level covariates and survival functions are related. When the main interest is…

Methodology · Statistics 2024-02-29 Mahsa Ashouri , Nicholas C. Henderson

Shape constrained regression analysis has applications in dose-response modeling, environmental risk assessment, disease screening and many other areas. Incorporating the shape constraints can improve estimation efficiency and avoid…

Methodology · Statistics 2013-06-19 Lizhen Lin , David B. Dunson

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

Methodology · Statistics 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

Since survival data occur over time, often important covariates that we wish to consider also change over time. Such covariates are referred as time-dependent covariates. Quantile regression offers flexible modeling of survival data by…

Methodology · Statistics 2014-05-01 Malka Gorfine , Yair Goldberg , Yaacov Ritov

We in this paper propose a directional regression based approach for ultrahigh dimensional sufficient variable screening with censored responses. The new method is designed in a model-free manner and thus can be adapted to various complex…

Methodology · Statistics 2018-02-28 Menghao Xu , Zhou Yu , Jun Shao

This article presents an approach to Bayesian semiparametric inference for Gaussian multivariate response regression. We are motivated by various small and medium dimensional problems from the physical and social sciences. The statistical…

Methodology · Statistics 2020-06-18 Georgios Papageorgiou , Benjamin C. Marshall

Due to increased awareness of data protection and corresponding laws many data, especially involving sensitive personal information, are not publicly accessible. Accordingly, many data collecting agencies only release aggregated data, e.g.…

Methodology · Statistics 2022-04-12 Rajbir-Singh Nirwan , Nils Bertschinger

We report on an empirical study of the main strategies for quantile regression in the context of stochastic computer experiments. To ensure adequate diversity, six metamodels are presented, divided into three categories based on order…

Machine Learning · Statistics 2020-01-22 Léonard Torossian , Victor Picheny , Robert Faivre , Aurélien Garivier

In this paper, we study the behavior of a kernel estimator of the regression function in the right censored model with $\alpha$-mixing data . The uniform strong consistency over a real compact set of the estimate is established along with a…

Statistics Theory · Mathematics 2008-02-21 Zohra Guessoum , Elias Ould-Saïd

We provide efficient algorithms for the problem of distribution learning from high-dimensional Gaussian data where in each sample, some of the variable values are missing. We suppose that the variables are missing not at random (MNAR). The…

Machine Learning · Computer Science 2025-04-29 Arnab Bhattacharyya , Constantinos Daskalakis , Themis Gouleakis , Yuhao Wang

Bayesian models have become very popular over the last years in several fields such as signal processing, statistics, and machine learning. Bayesian inference requires the approximation of complicated integrals involving posterior…

Computation · Statistics 2021-07-20 Luca Martino , Víctor Elvira