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For an autonomous agent, executing a poor policy may be costly or even dangerous. For such agents, it is desirable to determine confidence interval lower bounds on the performance of any given policy without executing said policy. Current…

Artificial Intelligence · Computer Science 2018-09-25 Josiah P. Hanna , Peter Stone , Scott Niekum

We develop theoretical finite-sample results concerning the size of wild bootstrap-based heteroskedasticity robust tests in linear regression models. In particular, these results provide an efficient diagnostic check, which can be used to…

Statistics Theory · Mathematics 2023-08-17 Benedikt M. Pötscher , David Preinerstorfer

In this paper, we develop a comprehensive asymptotic and bootstrap theory for checkerboard-based estimation of lower and upper tail copulas under unknown marginal distributions. The estimator is constructed via local bilinear (checkerboard)…

Methodology · Statistics 2026-05-20 Mayukh Choudhury , Debraj Das , Sujit Ghosh

In this review, we aim to utilize the bootstrap method to study models that have received significant interest in high energy theory and holography recently. Matrix bootstrap is proposed to determine the range of the solution up to an…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Shu Luo

The field of causal discovery develops model selection methods to infer cause-effect relations among a set of random variables. For this purpose, different modelling assumptions have been proposed to render cause-effect relations…

Methodology · Statistics 2023-11-09 Daniela Schkoda , Mathias Drton

Monitoring machine learning models once they are deployed is challenging. It is even more challenging to decide when to retrain models in real-case scenarios when labeled data is beyond reach, and monitoring performance metrics becomes…

Machine Learning · Computer Science 2022-11-23 Carlos Mougan , Dan Saattrup Nielsen

Standard methods, such as sequential procedures based on Johansen's (pseudo-)likelihood ratio (PLR) test, for determining the co-integration rank of a vector autoregressive (VAR) system of variables integrated of order one can be…

Econometrics · Economics 2022-02-08 H. Peter Boswijk , Giuseppe Cavaliere , Luca De Angelis , A. M. Robert Taylor

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

Statistics Theory · Mathematics 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

Model averaging has gained significant attention in recent years due to its ability of fusing information from different models. The critical challenge in frequentist model averaging is the choice of weight vector. The bootstrap method,…

Methodology · Statistics 2024-12-10 Minghui Song , Guohua Zou , Alan T. K. Wan

In this paper, we propose new specification tests for regression models with measurement errors in the explanatory variables. Inspired by the integrated conditional moment (ICM) approach, we use a deconvoluted residual-marked empirical…

Econometrics · Economics 2025-11-07 Xiaojun Song , Jichao Yuan

This article proposes omnibus portmanteau tests for contrasting adequacy of time series models. The test statistics are based on combining the autocorrelation function of the conditional residuals, the autocorrelation function of the…

Methodology · Statistics 2024-02-02 Esam Mahdi

The classic integrated conditional moment test is a promising method for testing regression model misspecification. However, it severely suffers from the curse of dimensionality. To extend it to handle the testing problem for parametric…

Statistics Theory · Mathematics 2020-05-26 Falong Tan , Lixing Zhu

A low-degree polynomial model for a response curve is used commonly in practice. It generally incorporates a linear or quadratic function of the covariate. In this paper we suggest methods for testing the goodness of fit of a general…

Statistics Theory · Mathematics 2008-12-18 Peter Hall , Yanyuan Ma

To go beyond standard first-order asymptotics for Cox regression, we develop parametric bootstrap and second-order methods. In general, computation of $P$-values beyond first order requires more model specification than is required for the…

Statistics Theory · Mathematics 2015-04-14 Donald A. Pierce , Ruggero Bellio

This paper considers a class of nonparametric autoregressive models with nonstationarity. We propose a nonparametric kernel test for the conditional mean and then establish an asymptotic distribution of the proposed test. Both the setting…

Statistics Theory · Mathematics 2009-11-20 Jiti Gao , Maxwell King , Zudi Lu , Dag Tjøstheim

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

We study the weak convergence of conditional empirical copula processes, when the conditioning event has a nonzero probability. The validity of several bootstrap schemes is stated, including the exchangeable bootstrap. We define general -…

Statistics Theory · Mathematics 2020-08-24 Alexis Derumigny , Jean-David Fermanian

The bootstrap variance estimate is widely used in semiparametric inferences. However, its theoretical validity is a well known open problem. In this paper, we provide a {\em first} theoretical study on the bootstrap moment estimates in…

Statistics Theory · Mathematics 2014-09-23 Guang Cheng

Many machine learning models have important structural tuning parameters that cannot be directly estimated from the data. The common tactic for setting these parameters is to use resampling methods, such as cross--validation or the…

Machine Learning · Statistics 2014-05-28 Max Kuhn

When faced with severely imbalanced binary classification problems, we often train models on bootstrapped data in which the number of instances of each class occur in a more favorable ratio, e.g., one. We view algorithmic inequity through…

Machine Learning · Statistics 2021-08-17 Harish S. Bhat , Majerle E. Reeves , Sidra Goldman-Mellor