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This paper proposes asymptotically distribution-free inference methods for comparing a broad range of welfare indices across dependent samples, including those employed in inequality, poverty, and risk analysis. Two distinct situations are…

Econometrics · Economics 2025-12-29 Jean-Marie Dufour , Tianyu He

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

Metamorphic testing is a testing method for problems without test oracles. Integration testing allows for detecting errors in complex systems that may not be found during the testing of their components. In this paper, we propose a novel…

Software Engineering · Computer Science 2023-05-02 Sofia F. Yakusheva , Anton S. Khritankov

One of the best ways of spotting previously undetected systematic errors in CMB experiments is to compare two independent observations of the same region. We derive a set of tools for comparing and combining CMB data sets, applicable also…

Astrophysics · Physics 2009-10-07 Max Tegmark

In clinical trials the comparison of two different populations is a frequently addressed problem. Non-linear (parametric) regression models are commonly used to describe the relationship between covariates as the dose and a response…

Methodology · Statistics 2019-02-12 Kathrin Möllenhoff , Frank Bretz , Holger Dette

Inference in linear panel data models is complicated by the presence of fixed effects when (some of) the regressors are not strictly exogenous. Under asymptotics where the number of cross-sectional observations and time periods grow at the…

Econometrics · Economics 2025-02-13 Ayden Higgins , Koen Jochmans

In model checking for regressions, nonparametric estimation-based tests usually have tractable limiting null distributions and are sensitive to oscillating alternative models, but suffer from the curse of dimensionality. In contrast,…

Methodology · Statistics 2019-03-12 Lingzhu Li , Xuehu Zhu , Lixing Zhu

Correlation matrices are an essential tool for investigating the dependency structures of random vectors or comparing them. We introduce an approach for testing a variety of null hypotheses that can be formulated based upon the correlation…

Statistics Theory · Mathematics 2023-07-12 Paavo Sattler , Markus Pauly

This paper is mainly concerned with asymptotic studies of weighted bootstrap for u- and v-statistics. We derive the consistency of the weighted bootstrap u- and v-statistics, based on i.i.d. and non i.i.d. observations, from some more…

Statistics Theory · Mathematics 2012-10-23 Miklos Csorgo , Masoud M. Nasari

Parametric and semiparametric tests of circular reflective symmetry about an unknown central direction are developed that are locally and asymptotically optimal in the Le Cam sense against asymmetric $k$-sine-skewed alternatives. The…

Methodology · Statistics 2020-09-01 Jose Ameijeiras-Alonso , Christophe Ley , Arthur Pewsey , Thomas Verdebout

Based on two independent samples X_1,...,X_m and X_{m+1},...,X_n drawn from multivariate distributions with unknown Lebesgue densities p and q respectively, we propose an exact multiple test in order to identify simultaneously regions of…

Statistics Theory · Mathematics 2009-08-12 Angelika Rohde

In recent years many procedures have been proposed to check the anisotropy of a dataset. We present a new simple procedure, based on a scale dependent approach, to detect anisotropy signatures in a given distribution with particular…

Instrumentation and Methods for Astrophysics · Physics 2017-08-23 M. Scuderi , M. De Domenico , A. Insolia , H. Lyberis

In confirmatory clinical trials with small sample sizes, hypothesis tests based on asymptotic distributions are often not valid and exact non-parametric procedures are applied instead. However, the latter are based on discrete test…

Methodology · Statistics 2018-02-22 Robin Ristl , Dong Xi , Ekkehard Glimm , Martin Posch

We test the hypothesis that simulataneous linear contrasts of multiple variance components equal zero in a Gaussian variance components model via a parametric bootstrap. Applications include but are not limited to nested and crossed…

Methodology · Statistics 2026-04-29 Alex Stringer , Jeffrey Negrea

In competing risks models, cumulative incidence functions are commonly compared to infer differences between groups. Many existing inference methods, however, struggle when these functions cross during the time frame of interest. To address…

Methodology · Statistics 2026-01-26 Simon Mack , Marc Ditzhaus , Merle Munko , Markus Pauly

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

Methodology · Statistics 2026-03-11 Markku Kuismin

Bootstrapping was designed to randomly resample data from a fixed sample using Monte Carlo techniques. However, the original sample itself defines a discrete distribution. Convolutional methods are well suited for discrete distributions,…

Methodology · Statistics 2021-07-19 Jared M. Clark , Richard L. Warr

Our confidence set quantifies the statistical uncertainty from data-driven group assignments in grouped panel models. It covers the true group memberships jointly for all units with pre-specified probability and is constructed by inverting…

Econometrics · Economics 2023-11-28 Andreas Dzemski , Ryo Okui

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

We are concerned with a situation in which we would like to test multiple hypotheses with tests whose p-values cannot be computed explicitly but can be approximated using Monte Carlo simulation. This scenario occurs widely in practice. We…

Methodology · Statistics 2018-10-17 Axel Gandy , Georg Hahn
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