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Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

统计方法学 · 统计学 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song

Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0…

无序系统与神经网络 · 物理学 2009-11-07 S. H. Yook , H. Jeong , A. -L. Barabasi , Y. Tu

A model is proposed for the statistical analysis of arbitrary-strength quantum measurements, based on a picture of "sampling weak values" from different configurations of the system. The model is comprised of two elements: a "local weak…

量子物理 · 物理学 2007-05-23 Alonso Botero

We propose a new class of goodness-of-fit tests for the logistic distribution based on a characterisation related to the density approach in the context of Stein's method. This characterisation based test is a first of its kind for the…

统计理论 · 数学 2021-08-17 James S. Allison , Bruno Ebner , Marius Smuts

Complex numbers define the relationship between entities in many situations. A canonical example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics. Recent years have seen an increasing interest to extend the tools…

社会与信息网络 · 计算机科学 2023-07-06 Yu Tian , Renaud Lambiotte

We consider Markov logic networks and relational logistic regression as two fundamental representation formalisms in statistical relational artificial intelligence that use weighted formulas in their specification. However, Markov logic…

人工智能 · 计算机科学 2024-05-17 Felix Weitkämper

In this expository paper we show how one can, in a uniform way, calculate the weight distributions of some well-known binary cyclic codes. The codes are related to certain families of curves, and the weight distributions are related to the…

数论 · 数学 2016-09-06 René Schoof

In including random effects to account for dependent observations, the odds ratio interpretation of logistic regression coefficients is changed from population-averaged to subject-specific. This is unappealing in many applications,…

统计方法学 · 统计学 2025-12-04 Changwoo J. Lee , David B. Dunson

We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We discuss the possibility for such transitions…

Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study non degree dependent correlations between edge weights, generalizing thus the…

统计力学 · 物理学 2009-11-11 Jose J. Ramasco , Bruno Goncalves

Testing whether a probability distribution is compatible with a given Bayesian network is a fundamental task in the field of causal inference, where Bayesian networks model causal relations. Here we consider the class of causal structures…

机器学习 · 统计学 2020-09-04 Aditya Kela , Kai von Prillwitz , Johan Aberg , Rafael Chaves , David Gross

We propose a class of weighted $L_2$-type tests of fit to the Gamma distribution. Our novel procedure is based on a fixed point property of a new transformation connected to a Steinian characterization of the family of Gamma distributions.…

统计方法学 · 统计学 2020-02-25 Steffen Betsch , Bruno Ebner

Modern data sets in various domains often include units that were sampled non-randomly from the population and have a latent correlation structure. Here we investigate a common form of this setting, where every unit is associated with a…

统计方法学 · 统计学 2019-07-25 Omer Weissbrod , Shachar Kaufman , David Golan , Saharon Rosset

A new class of distributional transformations is introduced, characterized by equations relating function weighted expectations of test functions on a given distribution to expectations of the transformed distribution on the test function's…

概率论 · 数学 2007-05-23 Larry Goldstein , Gesine Reinert

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

统计方法学 · 统计学 2021-03-05 Lizhen Nie , Dan L. Nicolae

This paper deals with improvement of linear quantile regression, when there are a few distinct values of the covariates but many replicates. On can improve asymptotic efficiency of the estimated regression coefficients by using suitable…

应用统计 · 统计学 2020-11-30 Kaushik Jana , Debasis Sengupta

The asymptotic expansion of the distribution of the gradient test statistic is derived for a composite hypothesis under a sequence of Pitman alternative hypotheses converging to the null hypothesis at rate $n^{-1/2}$, $n$ being the sample…

统计理论 · 数学 2015-03-17 Artur Lemonte , Silvia Ferrari

In this paper, we consider the structural change in a class of discrete valued time series, which the true conditional distribution of the observations is assumed to be unknown. The conditional mean of the process depends on a parameter…

统计理论 · 数学 2021-03-29 Mamadou Lamine Diop , William Kengne

The random-cluster model, a correlated bond percolation model, unifies a range of important models of statistical mechanics in one description, including independent bond percolation, the Potts model and uniform spanning trees. By…

统计力学 · 物理学 2016-01-28 Eren Metin Elçi , Martin Weigel , Nikolaos G. Fytas

We consider quadrangulations with a boundary and derive explicit expressions for the generating functions of these maps with either a marked vertex at a prescribed distance from the boundary, or two boundary vertices at a prescribed mutual…

数学物理 · 物理学 2010-09-03 J. Bouttier , E. Guitter