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It is known that the Thresholded Lasso (TL), SCAD or MCP correct intrinsic estimation bias of the Lasso. In this paper we propose an alternative method of improving the Lasso for predictive models with general convex loss functions which…

For statistical inference on regression models with a diverging number of covariates, the existing literature typically makes sparsity assumptions on the inverse of the Fisher information matrix. Such assumptions, however, are often…

统计方法学 · 统计学 2021-06-08 Lu Xia , Bin Nan , Yi Li

In this paper, we develop a unified approach to study partial identification of a finite-dimensional parameter defined by a general moment model with incomplete data. We establish a novel characterization of the identified set for the true…

计量经济学 · 经济学 2025-10-03 Yanqin Fan , Hyeonseok Park , Brendan Pass , Xuetao Shi

We consider the problem of static Bayesian inference for partially observed Levy-process models. We develop a methodology which allows one to infer static parameters and some states of the process, without a bias from the…

统计计算 · 统计学 2022-04-01 Hamza Ruzayqat , Ajay Jasra

The use of machine learning methods for predictive purposes has increased dramatically over the past two decades, but uncertainty quantification for predictive comparisons remains elusive. This paper addresses this gap by extending the…

计量经济学 · 经济学 2025-05-09 Juan Carlos Escanciano , Ricardo Parra

In this article we investigate consistency of selection in regression models via the popular Lasso method. Here we depart from the traditional linear regression assumption and consider approximations of the regression function $f$ with…

统计理论 · 数学 2008-12-18 Florentina Bunea

I propose a new type of confidence interval for correct asymptotic inference after using data to select a model of interest without assuming any model is correctly specified. This hybrid confidence interval is constructed by combining…

统计方法学 · 统计学 2021-11-25 Adam McCloskey

In this work we propose a new approach for the numerical simulation of kinetic equations through Monte Carlo schemes. We introduce a new technique which permits to reduce the variance of particle methods through a matching with a set of…

数学物理 · 物理学 2014-04-08 Pierre Degond , Giacomo Dimarco , Lorenzo Pareschi

We introduce a class of semiparametric time series models by assuming a quasi-likelihood approach driven by a latent factor process. More specifically, given the latent process, we only specify the conditional mean and variance of the time…

统计方法学 · 统计学 2021-04-02 Gisele O. Maia , Wagner Barreto-Souza , Fernando S. Bastos , Hernando Ombao

We study regression discontinuity designs in which many predetermined covariates, possibly much more than the number of observations, can be used to increase the precision of treatment effect estimates. We consider a two-step estimator…

计量经济学 · 经济学 2022-05-06 Alexander Kreiß , Christoph Rothe

This paper proposes a new test for inequalities that are linear in possibly partially identified nuisance parameters. This type of hypothesis arises in a broad set of problems, including subvector inference for linear unconditional moment…

统计方法学 · 统计学 2025-11-06 Gregory Fletcher Cox , Xiaoxia Shi , Yuya Shimizu

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to…

机器学习 · 统计学 2016-03-01 Igor Melnyk , Arindam Banerjee

We study the estimation capacity of the generalized Lasso, i.e., least squares minimization combined with a (convex) structural constraint. While Lasso-type estimators were originally designed for noisy linear regression problems, it has…

统计理论 · 数学 2019-09-12 Martin Genzel , Gitta Kutyniok

Inferring parameters of models of biochemical kinetics from single-cell data remains challenging because of the uncertainty arising from the intractability of the likelihood function of stochastic reaction networks. Such uncertainty falls…

定量方法 · 定量生物学 2025-01-14 Zekai Li , Mauricio Barahona , Philipp Thomas

This article analyses the simple projection method proposed by Izuchukwu et al. [8, Algorithm 3.2] for solving variational inequality problems by incorporating momentum terms. A new step size strategy is also introduced, in which the step…

最优化与控制 · 数学 2025-05-12 Gourav Kumar , Santanu Soe , V. Vetrivel

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

统计力学 · 物理学 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

统计计算 · 统计学 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

We develop new econometric methods for estimation and inference in high-dimensional panel data models with interactive fixed effects. Our approach can be regarded as a non-trivial extension of the very popular common correlated effects…

计量经济学 · 经济学 2025-08-11 Maximilian Ruecker , Michael Vogt , Oliver Linton , Christopher Walsh

A sparse modeling is a major topic in machine learning and statistics. LASSO (Least Absolute Shrinkage and Selection Operator) is a popular sparse modeling method while it has been known to yield unexpected large bias especially at a sparse…

机器学习 · 计算机科学 2018-08-23 Katsuyuki Hagiwara

In recent years, there has been considerable theoretical development regarding variable selection consistency of penalized regression techniques, such as the lasso. However, there has been relatively little work on quantifying the…

统计方法学 · 统计学 2014-05-21 Arend Voorman , Ali Shojaie , Daniela Witten