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Measuring the degree of inequality expressed by a multivariate statistical distribution is a challenging problem, which appears in many fields of science and engineering. In this paper, we propose to extend the well known univariate Gini…

Statistics Theory · Mathematics 2024-09-17 Gennaro Auricchio , Paolo Giudici , Giuseppe Toscani

Chi-squared tests for lack of fit are traditionally employed to find evidence against a hypothesized model, with the model accepted if the Karl Pearson statistic comparing observed and expected numbers of observations falling within cells…

Statistics Theory · Mathematics 2021-12-20 Robert G. Staudte

In this paper, we derive a general representation for the expectation of the Gini coefficient estimator in terms of the Laplace transform of the underlying distribution, together with the mean and the Gini coefficient of its exponentially…

Methodology · Statistics 2025-12-23 Roberto Vila , Helton Saulo

The covariance of two random variables measures the average joint deviations from their respective means. We generalise this well-known measure by replacing the means with other statistical functionals such as quantiles, expectiles, or…

Methodology · Statistics 2023-09-22 Tobias Fissler , Marc-Oliver Pohle

We present a method to infer on joint regression coefficients obtained from marginal regressions using a reference panel. This type of scenario is common in genetic fine-mapping, where the estimated marginal associations are reported in…

Methodology · Statistics 2022-12-06 Tzviel Frostig , Ruth Heller

We propose an empirical likelihood ratio test for nonparametric model selection, where the competing models may be nested, nonnested, overlapping, misspecified, or correctly specified. It compares the squared prediction errors of models…

Methodology · Statistics 2022-01-21 Jiancheng Jiang , Jiang Xuejun , Wang Haofeng

The notion of expectiles, originally introduced in the context of testing for homoscedasticity and conditional symmetry of the error distribution in linear regression, induces a law-invariant, coherent and elicitable risk measure that has…

Methodology · Statistics 2020-07-20 Simone A. Padoan , Gilles Stupfler

The task of node classification is to infer unknown node labels, given the labels for some of the nodes along with the network structure and other node attributes. Typically, approaches for this task assume homophily, whereby neighboring…

Social and Information Networks · Computer Science 2021-09-15 Arpit Merchant , Michael Mathioudakis

I introduce a new method for bias correction of dyadic models with agent-specific fixed effects, including the dyadic link formation model with homophily and degree heterogeneity. The proposed approach uses a jackknife procedure to deal…

Econometrics · Economics 2025-11-18 David W. Hughes

Modern high-dimensional point process data, especially those from neuroscience experiments, often involve observations from multiple conditions and/or experiments. Networks of interactions corresponding to these conditions are expected to…

Methodology · Statistics 2021-09-27 Xu Wang , Ali Shojaie

In this paper, we draw attention to a promising yet slightly underestimated measure of variability - the Gini coefficient. We describe two new ways of defining and interpreting this parameter. Using our new representations, we compute the…

Statistics Theory · Mathematics 2022-10-13 Marta Milewska , Remco van der Hofstad , Bert Zwart

In Bayesian quantile regression, the most commonly used likelihood is the asymmetric Laplace (AL) likelihood. The reason for this choice is not that it is a plausible data-generating model but that the corresponding maximum likelihood…

Methodology · Statistics 2024-12-30 Feng Ji , JoonHo Lee , Sophia Rabe-Hesketh

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

Econometrics · Economics 2025-02-04 Jean-Yves Pitarakis

In many applications it is important to know whether the amount of fluctuation in a series of observations changes over time. In this article, we investigate different tests for detecting change in the scale of mean-stationary time series.…

Methodology · Statistics 2022-04-12 Carina Gerstenberger , Daniel Vogel , Martin Wendler

We propose a method for detecting differential gene expression that exploits the correlation between genes. Our proposal averages the univariate scores of each feature with the scores in correlation neighborhoods. In a number of real and…

Statistics Theory · Mathematics 2007-06-13 Robert Tibshirani , Larry Wasserman

Deep learning models achieve high predictive accuracy across a broad spectrum of tasks, but rigorously quantifying their predictive uncertainty remains challenging. Usable estimates of predictive uncertainty should (1) cover the true…

Machine Learning · Computer Science 2020-07-28 Ahmed M. Alaa , Mihaela van der Schaar

In this paper, we establish the stochastic ordering of the Gini indexes for multivariate elliptical risks which generalized the corresponding results for multivariate normal risks. It is shown that several conditions on dispersion matrices…

Risk Management · Quantitative Finance 2026-03-17 Xuehua Yin , Dan Zhu , Chuancun Yin

We propose the conditional predictive impact (CPI), a consistent and unbiased estimator of the association between one or several features and a given outcome, conditional on a reduced feature set. Building on the knockoff framework of…

Methodology · Statistics 2021-05-14 David S. Watson , Marvin N. Wright

Explaining empirically observed wealth and income distributions, featuring power-law tails alongside gamma or log-normal bulk shapes, challenges models that focus on either pairwise competition or individual investment mechanisms. This…

Physics and Society · Physics 2025-05-19 Yuri Ono , Atsushi Ishida

Understanding epistasis (genetic interaction) may shed some light on the genomic basis of common diseases, including disorders of maximum interest due to their high socioeconomic burden, like schizophrenia. Distance correlation is an…