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We investigate the issue of post-selection inference for a fixed and a mixed parameter in a linear mixed model using a conditional Akaike information criterion as a model selection procedure. Within the framework of linear mixed models we…

Methodology · Statistics 2021-09-24 Gerda Claeskens , Katarzyna Reluga , Stefan Sperlich

A popular technique for selecting and tuning machine learning estimators is cross-validation. Cross-validation evaluates overall model fit, usually in terms of predictive accuracy. In causal inference, the optimal choice of estimator…

Methodology · Statistics 2021-07-07 Dominik Rothenhäusler

This paper develops a continuous-time filtering framework for estimating a hazard rate subject to an unobservable change-point. This framework naturally arises in both financial and insurance applications, where the default intensity of a…

Mathematical Finance · Quantitative Finance 2026-01-12 Matteo Buttarazzi , Claudia Ceci

We develop a baseline-adjusted C-index to evaluate fitted Cox proportional hazard models. This metric is particularly useful in evaluating stratified Cox models, as well as model selection using cross validation. Our metric is able to…

Methodology · Statistics 2019-11-22 Ruilin Li , Robert Tibshirani

Survival analysis often relies on Cox models, assuming both linearity and proportional hazards (PH). This study evaluates machine and deep learning methods that relax these constraints, comparing their performance with penalized Cox models…

Machine Learning · Computer Science 2025-10-21 Ivan Rossi , Flavio Sartori , Cesare Rollo , Giovanni Birolo , Piero Fariselli , Tiziana Sanavia

Although treatment effects can be estimated from observed outcome distributions obtained from proper randomization in clinical trials, covariate adjustment is recommended to increase precision. For important treatment effects, such as odds…

Methodology · Statistics 2025-07-03 Susanne Dandl , Torsten Hothorn

Most work in neural networks focuses on estimating the conditional mean of a continuous response variable given a set of covariates.In this article, we consider estimating the conditional distribution function using neural networks for both…

Methodology · Statistics 2022-07-07 Bingqing Hu , Bin Nan

In this paper, we propose a simplex regression model in which both the mean and the dispersion parameters are related to covariates by nonlinear predictors. We provide closed-form expressions for the score function, for Fisher's information…

Statistics Theory · Mathematics 2018-05-29 Patrícia Espinheira , Alisson de Oliveira Silva

Competing risk analysis considers event times due to multiple causes, or of more than one event types. Commonly used regression models for such data include 1) cause-specific hazards model, which focuses on modeling one type of event while…

Applications · Statistics 2017-04-27 Jiayi Hou , Anthony Paravati , Ronghui Xu , James Murphy

Active learning aims to achieve greater accuracy with less training data by selecting the most useful data samples from which it learns. Single-criterion based methods (i.e., informativeness and representativeness based methods) are simple…

Machine Learning · Computer Science 2021-07-06 Xueying Zhan , Qing Li , Antoni B. Chan

We develop a generally applicable full-information inference method for heterogeneous agent models, combining aggregate time series data and repeated cross sections of micro data. To handle unobserved aggregate state variables that affect…

Econometrics · Economics 2024-11-19 Laura Liu , Mikkel Plagborg-Møller

The theoretical foundation for a number of model selection criteria is established in the context of inhomogeneous point processes and under various asymptotic settings: infill, increasing domain, and combinations of these. For…

Statistics Theory · Mathematics 2021-06-11 Achmad Choiruddin , Jean-François Coeurjolly , Rasmus Waagepetersen

Mutual information has been successfully adopted in filter feature-selection methods to assess both the relevancy of a subset of features in predicting the target variable and the redundancy with respect to other variables. However,…

Machine Learning · Computer Science 2019-07-18 Mario Beraha , Alberto Maria Metelli , Matteo Papini , Andrea Tirinzoni , Marcello Restelli

This paper provides an alternative to penalized estimators for estimation and vari- able selection in high dimensional linear regression models with measurement error or missing covariates. We propose estimation via bias corrected least…

Methodology · Statistics 2016-05-11 Abhishek Kaul , Hira L. Koul , Akshita Chawla , Soumendra N. Lahiri

Models with latent factors recently attract a lot of attention. However, most investigations focus on linear regression models and thus cannot capture nonlinearity. To address this issue, we propose a novel Factor Augmented Single-Index…

Methodology · Statistics 2025-01-07 Yanmei Shi , Meiling Hao , Yanlin Tang , Heng Lian , Xu Guo

In biomedical studies, we are often interested in the association between different types of covariates and the times to disease events. Because the relationship between the covariates and event times is often complex, standard survival…

Methodology · Statistics 2024-01-19 Hoi Min Ng , Kin Yau Wong

We propose a novel deep learning approach to nonparametric statistical inference for the conditional hazard function of survival time with right-censored data. We use a deep neural network (DNN) to approximate the logarithm of a conditional…

Methodology · Statistics 2024-10-24 Wen Su , Kin-Yat Liu , Guosheng Yin , Jian Huang , Xingqiu Zhao

This paper introduces Kernel-based Information Criterion (KIC) for model selection in regression analysis. The novel kernel-based complexity measure in KIC efficiently computes the interdependency between parameters of the model using a…

Machine Learning · Statistics 2014-12-16 Somayeh Danafar , Kenji Fukumizu , Faustino Gomez

In this paper we explore different regression models based on Clusterwise Linear Regression (CLR). CLR aims to find the partition of the data into $k$ clusters, such that linear regressions fitted to each of the clusters minimize overall…

Machine Learning · Computer Science 2018-05-01 Igor Gitman , Jieshi Chen , Eric Lei , Artur Dubrawski

We consider a distributed learning setting where each agent/learner holds a specific parametric model and data source. The goal is to integrate information across a set of learners to enhance the prediction accuracy of a given learner. A…

Methodology · Statistics 2021-09-21 Jiaying Zhou , Jie Ding , Kean Ming Tan , Vahid Tarokh
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