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This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

Econometrics · Economics 2025-11-25 Oguzhan Akgun , Ryo Okui

We introduce a nonparametric bootstrap procedure based on a dynamic factor model to construct pointwise prediction intervals for period life-table death counts. The age distribution of death counts is an example of constrained data, which…

Methodology · Statistics 2025-07-17 Han Lin Shang

We propose a robust optimization approach for constructing confidence bands for stochastic processes using a finite number of simulated sample paths. Our approach can be used to quantify uncertainty in realizations of stochastic processes…

Optimization and Control · Mathematics 2025-08-13 Timothy Chan , Jangwon Park , Vahid Sarhangian

Westling and Carone (2020) proposed a framework for studying the large sample distributional properties of generalized Grenander-type estimators, a versatile class of nonparametric estimators of monotone functions. The limiting distribution…

Statistics Theory · Mathematics 2024-07-08 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

This guide aims at providing a general introduction to bootstrap methods. By using simple examples taken from nuclear physics, I discuss how such a method can be used to quantify error bars of an estimator. I also investigate the use of…

Nuclear Theory · Physics 2019-05-22 A. Pastore

We propose a computationally intensive method, the random lasso method, for variable selection in linear models. The method consists of two major steps. In step 1, the lasso method is applied to many bootstrap samples, each using a set of…

Applications · Statistics 2011-04-19 Sijian Wang , Bin Nan , Saharon Rosset , Ji Zhu

This paper develops distribution theory and bootstrap-based inference methods for a broad class of convex pairwise difference estimators. These estimators minimize a kernel-weighted convex-in-parameter function over observation pairs with…

Econometrics · Economics 2026-05-29 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

In recent years there has been significant progress in algorithms and methods for inducing Bayesian networks from data. However, in complex data analysis problems, we need to go beyond being satisfied with inducing networks with high…

Machine Learning · Computer Science 2013-01-30 Nir Friedman , Moises Goldszmidt , Abraham Wyner

By amalgamating data from disparate sources, the resulting integrated dataset becomes a valuable resource for statistical analysis. In probabilistic record linkage, the effectiveness of such integration relies on the availability of linkage…

Methodology · Statistics 2025-11-10 Siu-Ming Tam , Min Wang , Alicia Rambaldi , Dehua Tao

Methods to handle missing data have been extensively explored in the context of estimation and descriptive studies, with multiple imputation being the most widely used method in clinical research. However, in the context of clinical risk…

Methodology · Statistics 2024-11-25 Junhui Mi , Rahul D. Tendulkar , Sarah M. C. Sittenfeld , Sujata Patil , Emily C. Zabor

Non-probability sampling, for example in the form of online panels, has become a fast and cheap method to collect data. While reliable inference tools are available for classical probability samples, non-probability samples can yield…

Methodology · Statistics 2022-04-05 Gerhard Tutz

Generalized Linear Models are routinely used in data analysis. The classical procedures for estimation are based on Maximum Likelihood and it is well known that the presence of outliers can have a large impact on this estimator. Robust…

Computation · Statistics 2017-10-02 Marina Valdora , Claudio Agostinelli , Victor J. Yohai

It is common when using cross-section or panel data to assign each observation to a cluster and allow for arbitrary patterns of heteroskedasticity and correlation within clusters. For regression models, there are many ways to make…

Econometrics · Economics 2026-04-03 James G. MacKinnon

We study cluster-robust inference for logistic regression (logit) models. Inference based on the most commonly-used cluster-robust variance matrix estimator (CRVE) can be very unreliable. We study several alternatives. Conceptually the…

Econometrics · Economics 2025-05-05 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

To draw scientifically meaningful conclusions and build reliable models of quantitative phenomena, cause and effect must be taken into consideration (either implicitly or explicitly). This is particularly challenging when the measurements…

Machine Learning · Computer Science 2020-12-11 Max A. Little , Reham Badawy

We study statistical inference and distributionally robust solution methods for stochastic optimization problems, focusing on confidence intervals for optimal values and solutions that achieve exact coverage asymptotically. We develop a…

Machine Learning · Statistics 2018-07-03 John Duchi , Peter Glynn , Hongseok Namkoong

The paper proposes an original methodology for constructing quantitative statistical models based on multidimensional distribution functions constructed on the basis of the insurance companies' data on inshurance policies (including…

Risk Management · Quantitative Finance 2019-08-15 Valery Baskakov , Nikolay Sheparnev , Evgeny Yanenko

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

Methodology · Statistics 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

The multivariate linear regression model is an important tool for investigating relationships between several response variables and several predictor variables. The primary interest is in inference about the unknown regression coefficient…

Statistics Theory · Mathematics 2017-09-13 Daniel J. Eck

Robust Bayesian models are appealing alternatives to standard models, providing protection from data that contains outliers or other departures from the model assumptions. Historically, robust models were mostly developed on a case-by-case…

Machine Learning · Statistics 2016-09-08 Chong Wang , David M. Blei
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