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Variational inference is a powerful tool for approximate inference. However, it mainly focuses on the evidence lower bound as variational objective and the development of other measures for variational inference is a promising area of…

Machine Learning · Computer Science 2016-12-06 Michael Figurnov , Kirill Struminsky , Dmitry Vetrov

We propose two approaches to estimate semiparametric discrete choice models for bundles. Our first approach is a kernel-weighted rank estimator based on a matching-based identification strategy. We establish its complete asymptotic…

Econometrics · Economics 2024-12-18 Fu Ouyang , Thomas Tao Yang

We propose two approaches to estimate semiparametric discrete choice models for bundles. Our first approach is a kernel-weighted rank estimator based on a matching-based identification strategy. We establish its complete asymptotic…

Econometrics · Economics 2024-12-18 Fu Ouyang , Thomas T. Yang

The objective of this work is to propose an asymptotic correction method for the estimators of parameters from regression models with covariates subject to classification errors. A correction was developed based on the least squares…

Methodology · Statistics 2025-07-11 Alexandre Garcia Dias , Mariana Rodrigues Motta , Alexandre Hild Aono

For linear models with a diverging number of parameters, it has recently been shown that modified versions of Bayesian information criterion (BIC) can identify the true model consistently. However, in many cases there is little…

Methodology · Statistics 2011-07-26 Heng Lian

In this paper we study the problem of statistical inference on the parameters of the semiparametric variance-mean mixtures. This class of mixtures has recently become rather popular in statistical and financial modelling. We design a…

Other Statistics · Statistics 2017-05-23 Denis Belomestny , Vladimir Panov

Analysis of survival data with biased samples caused by left-truncation or length-biased sampling has received extensive interest. Many inference methods have been developed for various survival models. These methods, however, break down…

Statistics Theory · Mathematics 2018-12-31 Li-Pang Chen

In semi-supervised learning, the prevailing understanding suggests that observing additional unlabeled samples improves estimation accuracy for linear parameters only in the case of model misspecification. In this work, we challenge such a…

Methodology · Statistics 2025-09-03 Kai Chen , Yuqian Zhang

It is well known that the minimax rates of convergence of nonparametric density and regression function estimation of a random variable measured with error is much slower than the rate in the error free case. Surprisingly, we show that if…

Statistics Theory · Mathematics 2019-08-21 Fei Jiang , Yanyuan Ma , Raymond J. Carroll

The Infinitesimal Jackknife is a general method for estimating variances of parametric models, and more recently also for some ensemble methods. In this paper we extend the Infinitesimal Jackknife to estimate the covariance between any two…

Machine Learning · Statistics 2022-09-02 Indrayudh Ghosal , Yunzhe Zhou , Giles Hooker

Resampling methods are especially well-suited to inference with estimators that provide only "black-box'' access. Jackknife is a form of resampling, widely used for bias correction and variance estimation, that is well-understood under…

Statistics Theory · Mathematics 2024-11-06 Licong Lin , Fangzhou Su , Wenlong Mou , Peng Ding , Martin Wainwright

Imputation is a popular technique for handling item nonresponse in survey sampling. Parametric imputation is based on a parametric model for imputation and is less robust against the failure of the imputation model. Nonparametric imputation…

Methodology · Statistics 2019-09-20 Danhyang Lee , Jae Kwang Kim

We consider a longitudinal data structure consisting of baseline covariates, time-varying treatment variables, intermediate time-dependent covariates, and a possibly time dependent outcome. Previous studies have shown that estimating the…

Statistics Theory · Mathematics 2018-10-09 Linh Tran , Maya Petersen , Joshua Schwab , Mark J van der Laan

We consider the nonparametric robust estimation problem for regression models in continuous time with semi-Markov noises. An adaptive model selection procedure is proposed. Under general moment conditions on the noise distribution a sharp…

Statistics Theory · Mathematics 2017-03-28 Vlad Barbu , Slim Beltaif , Serguei Pergamenchtchikov

Measurement error arises through a variety of mechanisms. A rich literature exists on the bias introduced by covariate measurement error and on methods of analysis to address this bias. By comparison, less attention has been given to errors…

Methodology · Statistics 2018-11-27 Pamela Shaw , Jiwei He , Bryan Shepherd

Regression analysis based on many covariates is becoming increasingly common. However, when the number of covariates $p$ is of the same order as the number of observations $n$, maximum likelihood regression becomes unreliable due to…

Methodology · Statistics 2023-09-06 Emanuele Massa , Marianne Jonker , Kit Roes , Anthony Coolen

This paper addresses the problem of measurement errors in causal inference and highlights several algebraic and graphical methods for eliminating systematic bias induced by such errors. In particulars, the paper discusses the control of…

Methodology · Statistics 2012-03-19 Judea Pearl

Nonparametric and machine learning methods are flexible methods for obtaining accurate predictions. Nowadays, data sets with a large number of predictors and complex structures are fairly common. In the presence of item nonresponse,…

Methodology · Statistics 2022-08-23 Mehdi Dagdoug , Camelia Goga , David Haziza

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

For studying or reducing the bias of functionals of the Kaplan-Meier survival estimator, the jackknifing approach of Stute and Wang (1994) is natural. We have studied the behavior of the jackknife estimate of bias under different…

Methodology · Statistics 2013-12-17 Md Hasinur Rahaman Khan , J. Ewart H. Shaw