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Generalized linear models are flexible tools for the analysis of diverse datasets, but the classical formulation requires that the parametric component is correctly specified and the data contain no atypical observations. To address these…

Methodology · Statistics 2023-04-21 Ioannis Kalogridis , Gerda Claeskens , Stefan Van Aelst

Testing the equality in distributions of multiple samples is a common task in many fields. However, this problem for high-dimensional or non-Euclidean data has not been well explored. In this paper, we propose new nonparametric tests based…

Methodology · Statistics 2022-05-30 Hoseung Song , Hao Chen

Adjustment of statistical significance levels for repeated analysis in group sequential trials has been understood for some time. Similarly, methods for adjustment accounting for testing multiple hypotheses are common. There is limited…

Methodology · Statistics 2023-11-28 Yujie Zhao , Qi Liu , Linda Z. Sun , Keaven M. Anderson

Tests of equality of copulas between two samples are introduced and studied using the empirical Bernstein copula process. Three statistics are proposed and their asymptotic properties are established. Besides, a subsampling Bernstein…

Statistics Theory · Mathematics 2023-12-19 Guanjie Lyu , Mohamed Belalia

Pseudo-random number generators are widely used in many branches of science, mainly in applications related to Monte Carlo methods, although they are deterministic in design and, therefore, unsuitable for tackling fundamental problems in…

We develop an approach to generate random graphs to a target level of assortativity by using copula structures in graphons. Unlike existing random graph generators, we do not use rewiring or binning approaches to generate the desired random…

Social and Information Networks · Computer Science 2025-03-06 Victory Idowu

This paper examines the problem of nonparametric testing for the no-effect of a random covariate (or predictor) on a functional response. This means testing whether the conditional expectation of the response given the covariate is almost…

Statistics Theory · Mathematics 2014-11-25 Valentin Patilea , Cesar Sanchez-Sellero , Matthieu Saumard

When the copula of the conditional distribution of two random variables given a covariate does not depend on the value of the covariate, two conflicting intuitions arise about the best possible rate of convergence attainable by…

Statistics Theory · Mathematics 2017-05-17 François Portier , Johan Segers

In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predictors nonparametric methods suffer from the curse of…

Statistics Theory · Mathematics 2013-03-19 T. Hildebrandt , N. Bissantz , H. Dette

New nonparametric tests of copula exchangeability and radial symmetry are proposed. The novel aspect of the tests is a resampling procedure that exploits group invariance conditions associated with the relevant symmetry hypothesis. They may…

Econometrics · Economics 2020-12-16 Brendan K. Beare , Juwon Seo

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

Machine Learning · Statistics 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

In a novel approach to the multiple testing problem, Efron (2004; 2007) formulated estimators of the distribution of test statistics or nominal p-values under a null distribution suitable for modeling the data of thousands of unaffected…

Methodology · Statistics 2012-10-30 David R. Bickel

Restricted Boltzmann Machines and Deep Belief Networks have been successfully used in probabilistic generative model applications such as image occlusion removal, pattern completion and motion synthesis. Generative inference in such…

Neural and Evolutionary Computing · Computer Science 2016-02-22 Ojash Neopane , Srinjoy Das , Ery Arias-Castro , Kenneth Kreutz-Delgado

A common method for deriving non-parametric tests is to reformulate a parametric test in terms of sample ranks. Despite being distribution free (even in finite samples), the resulting tests often display remarkable asymptotic power…

Statistics Theory · Mathematics 2022-08-10 Dan D. Erdmann-Pham , Jonathan Terhorst , Yun S. Song

Empirical research in the social and medical sciences frequently involves testing multiple hypotheses simultaneously, increasing the risk of false positives due to chance. Classical multiple testing procedures, such as the Bonferroni…

Econometrics · Economics 2025-07-29 Sebastian Calonico , Sebastian Galiani

We present a common framework for Bayesian emulation methodologies for multivariate-output simulators, or computer models, that employ either parametric linear models or nonparametric Gaussian processes. Novel diagnostics suitable for…

Methodology · Statistics 2016-10-28 Antony Overstall , David Woods

In the field of finance, insurance, and system reliability, etc., it is often of interest to measure the dependence among variables by modeling a multivariate distribution using a copula. The copula models with parametric assumptions are…

Methodology · Statistics 2021-12-21 Lu Lu , Sujit Ghosh

This paper proposes a new class of nonparametric tests for the correct specification of models based on conditional moment restrictions, paying particular attention to generalized propensity score models. The test procedure is based on two…

Econometrics · Economics 2023-04-18 Pedro H. C. Sant'Anna , Xiaojun Song

In this paper, we compare two numerical methods for approximating the probability that the sum of dependent regularly varying random variables exceeds a high threshold under Archimedean copula models. The first method is based on…

Computation · Statistics 2017-08-31 Hélène Cossette , Etienne Marceau , Quang Huy Nguyen , Christian Robert

We propose a flexible and identifiable version of the two-groups model, motivated by hierarchical Bayes considerations, that features an empirical null and a semiparametric mixture model for the non-null cases. We use a computationally…

Methodology · Statistics 2012-06-26 Ryan Martin , Surya T. Tokdar