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This research introduces a novel approach to resampling periodically correlated (PC) time series using bandpass filters for frequency separation called the Variable Bandpass Periodic Block Bootstrap (VBPBB) and then examines the significant…

Methodology · Statistics 2025-07-10 Edward Valachovic

Nonparametric methods play a central role in modern empirical work. While they provide inference procedures that are more robust to parametric misspecification bias, they may be quite sensitive to tuning parameter choices. We study the…

Statistics Theory · Mathematics 2018-07-27 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell

Spatial autocorrelation in regression models can lead to downward biased standard errors and thus incorrect inference. The most common correction in applied economics is the spatial heteroskedasticity and autocorrelation consistent (HAC)…

Econometrics · Economics 2026-03-05 Alexander Lehner

Artificial intelligence(AI)-assisted method had received much attention in the risk field such as disease diagnosis. Different from the classification of disease types, it is a fine-grained task to classify the medical images as benign or…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Shuang Ge , Kehong Yuan , Maokun Han , Desheng Sun , Huabin Zhang , Qiongyu Ye

We develop a formal statistical framework for classical multidimensional scaling (CMDS) applied to noisy dissimilarity data. We establish distributional convergence results for the embeddings produced by CMDS for various noise models, which…

Statistics Theory · Mathematics 2025-10-28 Siddharth Vishwanath , Ery Arias-Castro

Asymptotic methods for hypothesis testing in high-dimensional data usually require the dimension of the observations to increase to infinity, often with an additional condition on its rate of increase compared to the sample size. On the…

Statistics Theory · Mathematics 2024-03-26 Joydeep Chowdhury , Subhajit Dutta , Marc G. Genton

This article explores the estimation of unknown parameters and reliability characteristics under the assumption that the lifetimes of the testing units follow an Inverted Exponentiated Pareto (IEP) distribution. Here, both point and…

Statistics Theory · Mathematics 2025-01-22 Rajendranath Mondal , Aditi Kar Gangopadhyay , Raju Bhakta , Kousik Maiti

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

Econometrics · Economics 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang

We introduce a bootstrap procedure for high-frequency statistics of Brownian semistationary processes. More specifically, we focus on a hypothesis test on the roughness of sample paths of Brownian semistationary processes, which uses an…

Statistics Theory · Mathematics 2021-01-06 Mikkel Bennedsen , Ulrich Hounyo , Asger Lunde , Mikko S. Pakkanen

Bootstrap techniques (also called resampling computation techniques) have introduced new advances in modeling and model evaluation. Using resampling methods to construct a series of new samples which are based on the original data set,…

Statistics Theory · Mathematics 2007-06-13 Riadh Kallel , Marie Cottrell , Vincent Vigneron

This paper investigates the effects of smoothed bootstrap iterations on coverage probabilities of smoothed bootstrap and bootstrap-t confidence intervals for population quantiles, and establishes the optimal kernel bandwidths at various…

Statistics Theory · Mathematics 2007-06-13 Yvonne H. S. Ho , Stephen M. S. Lee

In this paper, we compute finite sample bounds for data-driven approximations of the solution to stochastic reachability problems. Our approach uses a nonparametric technique known as kernel distribution embeddings, and provides…

Optimization and Control · Mathematics 2021-12-09 Adam J. Thorpe , Kendric R. Ortiz , Meeko M. K. Oishi

A consistent goodness-of-fit test for distributional regression is introduced. The test statistic is based on a process that traces the difference between a nonparametric and a semi-parametric estimate of the marginal distribution function…

Methodology · Statistics 2025-10-10 Gitte Kremling , Gerhard Dikta

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

Statistical Finance · Quantitative Finance 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

Hall and Robinson (2009) proposed and analyzed the use of bagged cross-validation to choose the bandwidth of a kernel density estimator. They established that bagging greatly reduces the noise inherent in ordinary cross-validation, and…

Methodology · Statistics 2024-02-01 Daniel Barreiro-Ures , Ricardo Cao , Mario Francisco Fernández , Jeffrey D. Hart

Modern empirical work in Regression Discontinuity (RD) designs often employs local polynomial estimation and inference with a mean square error (MSE) optimal bandwidth choice. This bandwidth yields an MSE-optimal RD treatment effect…

Econometrics · Economics 2020-07-21 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell

We propose a general method for constructing confidence intervals and statistical tests for single or low-dimensional components of a large parameter vector in a high-dimensional model. It can be easily adjusted for multiplicity taking…

Statistics Theory · Mathematics 2014-06-24 Sara van de Geer , Peter Bühlmann , Ya'acov Ritov , Ruben Dezeure

We consider the problem of bandwidth selection by cross-validation from a sequential point of view in a nonparametric regression model. Having in mind that in applications one often aims at estimation, prediction and change detection…

Statistics Theory · Mathematics 2018-03-20 Ansgar Steland

We report on a broader evaluation of statistical bootstrap resampling methods as a tool for pixel-level calibration and imaging fidelity assessment in radio interferometry. Pixel-level imaging fidelity assessment is a challenging problem,…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Athol Kemball , Adam Martinsek , Modhurita Mitra , Hsin-Fang Chiang

Let a graph be observed through a finite random sampling mechanism. Spectral methods are routinely applied to such graphs, yet their outputs are treated as deterministic objects. This paper develops finite-sample inference for spectral…

Statistics Theory · Mathematics 2026-02-12 Chandrasekhar Gokavarapu , Sekhar Babu Gosala , Vamis Pasalapudi , Tarakarama Kapakayala