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We introduce a rigorous and sensitive significance test for hyperuniformity that yields reliable results even from a single sample. Our approach is based on a detailed analysis of the empirical Fourier transform of a stationary point…

Statistics Theory · Mathematics 2026-03-23 Michael A. Klatt , Günter Last , Norbert Henze

In this paper, we propose novel, fully Bayesian non-parametric tests for one-sample and two-sample multivariate location problems. We model the underlying distribution using a Dirichlet process prior, and develop a testing procedure based…

Statistics Theory · Mathematics 2021-08-03 Indrabati Bhattacharya , Subhashis Ghosal

Matching a nonprobability sample to a probability sample is one strategy both for selecting the nonprobability units and for weighting them. This approach has been employed in the past to select subsamples of persons from a large panel of…

Methodology · Statistics 2021-12-03 Zhan Liu , Richard Valliant

This paper aims to provide practitioners of causal mediation analysis with a better understanding of estimation options. We take as inputs two familiar strategies (weighting and model-based prediction) and a simple way of combining them…

In the context of direct gauge mediation Wess-Zumino models are very attractive in supersymmetry model building. Besides the spontaneous supersymmetry and R-symmetry breaking, the problems of small gaugino mass as well as {\mu} and B{\mu}…

High Energy Physics - Phenomenology · Physics 2015-02-13 Sibo Zheng , Yao Yu

The Stable Marriage Problem (SMP) has been extremely discussed in the literature and it is useful to a number of real-world applications. We propose a generalized version of the SMP in which numbers of the matching groups are different as…

Social and Information Networks · Computer Science 2019-02-26 Bernardo Alves Furtado

Causal mediation analysis is widely used to investigate how causal effects operate through specific pathways linking treatments or exposures to outcomes. Recently, \texttt{crumble} was developed to enable nonparametric estimation of several…

Methodology · Statistics 2026-04-14 Richard Liu , Nicholas T. Williams , Kara E. Rudolph , Ivan Diaz

In this paper, we present a new way of matching in observational studies that overcomes three limitations of existing matching approaches. First, it directly balances covariates with multi-valued treatments without requiring the generalized…

Applications · Statistics 2019-07-11 Magdalena Bennett , Juan Pablo Vielma , Jose R. Zubizarreta

Several application domains require formal but flexible approaches to the comparison problem. Different process models that cannot be related by behavioral equivalences should be compared via a quantitative notion of similarity, which is…

Logic in Computer Science · Computer Science 2010-06-29 Alessandro Aldini

Equivalence testing compares the hypothesis that an effect $\mu$ is large against the alternative that it is negligible. Here, `large' is classically expressed as being larger than some `equivalence margin' $\Delta$. A longstanding problem…

Statistics Theory · Mathematics 2026-03-18 Stan Koobs , Nick W. Koning

Null Hypothesis Statistical Testing is a dominant framework for conducting statistical analysis across the sciences. There remains considerable debate as to whether, and under what circumstances, evidence can be said to be confirmatory of a…

Statistics Theory · Mathematics 2024-05-28 Reid Dale

Hypothesis test plays a key role in uncertain statistics based on uncertain measure. This paper extends the parametric hypothesis of a single uncertain population to multiple cases, thereby addressing a broader range of scenarios. First, an…

Methodology · Statistics 2025-12-03 Fan Zhang , Zhiming Li

There is a well-known problem in Null Hypothesis Significance Testing: many statistically significant results fail to replicate in subsequent experiments. We show that this problem arises because standard `point-form null' significance…

Methodology · Statistics 2025-02-06 Fintan Costello , Paul Watts

A method is suggested for treating those complicated physical problems for which exact solutions are not known but a few approximation terms of a calculational algorithm can be derived. The method permits one to answer the following rather…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. I. Yukalov , E. P. Yukalova

The basic motivation and primary goal of this paper is a qualitative evaluation of the performance of a new weighted statistic for a nonparametric test for stochastic dominance based on two samples, which was introduced in Ledwina and…

Statistics Theory · Mathematics 2018-06-07 Inglot Tadeusz , Ledwina Teresa , Ćmiel Bogdan

We consider the problem of estimating the support size of a distribution $D$. Our investigations are pursued through the lens of distribution testing and seek to understand the power of conditional sampling (denoted as COND), wherein one is…

Data Structures and Algorithms · Computer Science 2022-11-23 Diptarka Chakraborty , Gunjan Kumar , Kuldeep S. Meel

The field of psychological sciences has been grappling with the replicability crisis. Various issues have been identified as potential sources of this problem. We bring to light a potential source that has largely been overlooked and…

Methodology · Statistics 2025-04-28 Yoav Zeevi , Sofi Astashenko , Liad Mudrik , Yoav Benjamini

We consider the problem of hypotheses testing with the basic simple hypothesis: observed sequence of points corresponds to stationary Poisson process with known intensity against a composite one-sided parametric alternative that this is a…

Statistics Theory · Mathematics 2007-06-13 Serguei Dachian , Yury A. Kutoyants

Over the past decades, various methods for comparing the means of two log-normal have been proposed. Some of them are differing in terms of how the statistic test adjust to accept or to reject the null hypothesis. In this study, a new…

Statistics Theory · Mathematics 2014-05-20 Kamel Abdollahnezhad , M. Babanezhad , Ali Akbar Jafari

The analysis of large experimental datasets frequently reveals significant interactions that are difficult to interpret within the theoretical framework guiding the research. Some of these interactions actually arise from the presence of…

Applications · Statistics 2017-09-19 Hannes Matuschek , Reinhold Kliegl