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High-dimensional multinomial regression models are very useful in practice but have received less research attention than logistic regression models, especially from the perspective of statistical inference. In this work, we analyze the…

统计方法学 · 统计学 2025-04-18 Ye Tian , Henry Rusinek , Arjun V. Masurkar , Yang Feng

Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

统计方法学 · 统计学 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

This paper develops a hybrid likelihood (HL) method based on a compromise between parametric and nonparametric likelihoods. Consider the setting of a parametric model for the distribution of an observation $Y$ with parameter $\theta$.…

统计方法学 · 统计学 2026-02-24 Nils Lid Hjort , Ian W. McKeague , Ingrid Van Keilegom

The penalization method is used to take account of obstacles in a tokamak, such as the limiter. We study a non linear hyperbolic system modelling the plasma transport in the area close to the wall. A penalization which cuts the transport…

数值分析 · 数学 2011-10-05 Philippe Angot , Thomas Auphan , Olivier Guès

The last two centuries have seen a significant increase in life expectancy. Although past trends suggest that mortality will continue to decline in the future, uncertainty and instability about the development is greatly increased due to…

应用统计 · 统计学 2023-11-28 Asmik Nalmpatian , Christian Heumann , Stefan Pilz

This paper considers a proportional hazards model, which allows one to examine the extent to which covariates interact nonlinearly with an exposure variable, for analysis of lifetime data. A local partial-likelihood technique is proposed to…

统计理论 · 数学 2007-06-13 Jianqing Fan , Huazhen Lin , Yong Zhou

In this paper, we consider the problem of minimizing a smooth function, given as finite sum of black-box functions, over a convex set. In order to advantageously exploit the structure of the problem, for instance when the terms of the…

最优化与控制 · 数学 2026-03-13 Francesco Cecere , Matteo Lapucci , Davide Pucci , Marco Sciandrone

Penalized likelihood methods are fundamental to ultra-high dimensional variable selection. How high dimensionality such methods can handle remains largely unknown. In this paper, we show that in the context of generalized linear models,…

统计理论 · 数学 2009-10-08 Jianqing Fan , Jinchi Lv

The chaotic nature of fluid flow and the uncertainties in initial conditions limit predictability. Small errors that occur in the initial condition can grow exponentially until they saturate at $\mathcal{O}$(1). Ensemble forecasting…

数值分析 · 数学 2024-07-16 Rui Fang

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

统计方法学 · 统计学 2021-10-19 Edouard Ollier

In this study, we introduce a novel methodological framework called Bayesian Penalized Empirical Likelihood (BPEL), designed to address the computational challenges inherent in empirical likelihood (EL) approaches. Our approach has two…

统计方法学 · 统计学 2025-03-04 Jinyuan Chang , Cheng Yong Tang , Yuanzheng Zhu

Growth in both size and complexity of modern data challenges the applicability of traditional likelihood-based inference. Composite likelihood (CL) methods address the difficulties related to model selection and computational intractability…

统计理论 · 数学 2017-09-12 Zhendong Huang , Davide Ferrari

Complex simulator-based models are now routinely used to perform inference across the sciences and engineering, but existing inference methods are often unable to account for outliers and other extreme values in data which occur due to…

机器学习 · 统计学 2026-02-18 Ayush Bharti , Charita Dellaporta , Yuga Hikida , François-Xavier Briol

The probability of false discovery proportion (FDP) exceeding $\gamma\in[0,1)$, defined as $\gamma$-FDP, has received much attention as a measure of false discoveries in multiple testing. Although this measure has received acceptance due to…

统计理论 · 数学 2014-06-03 Wenge Guo , Li He , Sanat K. Sarkar

Several interesting generative learning algorithms involve a complex probability distribution over many random variables, involving intractable normalization constants or latent variable normalization. Some of them may even not have an…

机器学习 · 计算机科学 2014-05-13 Yoshua Bengio , Li Yao , Kyunghyun Cho

In this paper, we consider a stochastic Model Predictive Control able to account for effects of additive stochastic disturbance with unbounded support, and requiring no restrictive assumption on either independence nor Gaussianity. We…

系统与控制 · 电气工程与系统科学 2020-03-17 Martina Mammarella , Teodoro Alamo , Sergio Lucia , Fabrizio Dabbene

We consider efficient estimation of flexible transformation models with interval-censored data. To reduce the dimension of semi-parametric models, the unknown monotone transformation function is approximated via monotone splines. A…

统计方法学 · 统计学 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun

This paper proposes a robust method for fault detection and severity estimation in multivariate time-series data to enhance predictive maintenance of mechanical systems. We use the Temporal Graph Convolutional Network (T-GCN) model to…

系统与控制 · 电气工程与系统科学 2025-04-07 Youngjae Jeon , Eunho Heo , Jinmo Lee , Taewon Uhm , Dongjin Lee

Skew normal mixture models provide a more flexible framework than the popular normal mixtures for modelling heterogeneous data with asymmetric behaviors. Due to the unboundedness of likelihood function and the divergency of shape…

统计方法学 · 统计学 2016-08-05 Libin Jin , Wangli Xu , Liping Zhu , Lixing Zhu

Stochastic compartmental models are prevalent tools for describing disease spread, but inference under these models is challenging for many types of surveillance data when the marginal likelihood function becomes intractable due to missing…

统计方法学 · 统计学 2026-02-05 Suchismita Roy , Alexander A. Fisher , Jason Xu