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A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

系统与控制 · 计算机科学 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

As a growing number of problems involve variables that are random objects, the development of models for such data has become increasingly important. This paper introduces a novel varying-coefficient Fr\'echet regression model that extends…

统计方法学 · 统计学 2025-09-16 Yanzhao Wang , Jianqiang Zhang , Wangli Xu

A generalization of the classical concordance correlation coefficient (CCC) is considered under a three-level design where multiple raters rate every subject over time, and each rater is rating every subject multiple times at each measuring…

统计方法学 · 统计学 2025-04-15 Soumya Sahu , Thomas Mathew , Dulal K. Bhaumik

We propose lacunarity as a novel recurrence quantification measure and illustrate its efficacy to detect dynamical regime transitions which are exhibited by many complex real-world systems. We carry out a recurrence plot based analysis for…

数据分析、统计与概率 · 物理学 2021-01-26 Tobias Braun , Vishnu R. Unni , R. I. Sujith , Juergen Kurths , Norbert Marwan

Higher-Order Influence Functions (HOIFs) provide a unified theory for constructing rate-optimal estimators for a large class of low-dimensional (smooth) statistical functionals/parameters (and sometimes even infinite-dimensional functions)…

统计理论 · 数学 2023-02-17 Lin Liu , Chang Li

Fields like public health, public policy, and social science often want to quantify the degree of dependence between variables whose relationships take on unknown functional forms. Typically, in fact, researchers in these fields are…

统计理论 · 数学 2019-12-10 Octavio César Mesner , Cosma Rohilla Shalizi

An approach to inference for relative sparsity was developed in prior work, and an adaptive lasso asymptotic normality theorem was given there, but this theorem was not fully used when estimating the variance of the policy coefficients.…

统计方法学 · 统计学 2026-05-05 Samuel Julian Weisenthal

Distance covariance is a measure of dependence between two random variables that take values in two, in general different, metric spaces, see Sz\'ekely, Rizzo and Bakirov (2007) and Lyons (2013). It is known that the distance covariance,…

概率论 · 数学 2019-10-30 Svante Janson

Coherence is a defining property of quantum theory that accounts for quantum advantage in many quantum information tasks. Although many coherence quantifiers have been introduced in various contexts, the lack of efficient methods to…

量子物理 · 物理学 2023-01-02 Sun Liang Liang , Yu Sixia

A CUSUM type test for constant correlation that goes beyond a previously suggested correlation constancy test by considering Spearman's rho in arbitrary dimensions is proposed. Since the new test does not require the existence of any…

统计方法学 · 统计学 2014-01-31 Dominik Wied , Herold Dehling , Maarten van Kampen , Daniel Vogel

We study second order consensus dynamics with random additive disturbances. We investigate three different performance measures: the steady-state variance of pairwise differences between vertex states, the steady-state variance of the…

最优化与控制 · 数学 2017-09-26 Yuhao Yi , Bingjia Yang , Zhongzhi Zhang , Stacy Patterson

Explanatory systems make the behavior of machine learning models more transparent, but are often inconsistent. To quantify the differences between explanatory systems, this paper presents the Shreyan Distance, a novel metric based on the…

机器学习 · 计算机科学 2023-11-21 Shreyan Mitra , Leilani Gilpin

Increasingly, critical decisions in public policy, governance, and business strategy rely on a deeper understanding of the needs and opinions of constituent members (e.g. citizens, shareholders). While it has become easier to collect a…

计算与语言 · 计算机科学 2020-01-28 Saket Gurukar , Deepak Ajwani , Sourav Dutta , Juho Lauri , Srinivasan Parthasarathy , Alessandra Sala

In modern randomized experiments, large-scale data collection increasingly yields rich baseline covariates and auxiliary information from multiple sources. Such information offers opportunities for more precise treatment effect estimation,…

统计方法学 · 统计学 2026-03-10 Wei Ma , Zeqi Wu , Zheng Zhang

The discussion focuses on metric covariance, a new association measure between paired random objects in a metric space, developed by Dubey and M\"uller, and on its relationship with other similar concepts which have previously appeared in…

统计方法学 · 统计学 2020-01-13 Dino Sejdinovic

The identification of new rare signals in data, the detection of a sudden change in a trend, and the selection of competing models, are among the most challenging problems in statistical practice. These challenges can be tackled using a…

统计方法学 · 统计学 2022-04-06 Sara Algeri , David A. van Dyk

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

概率论 · 数学 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

A new family of nonparametric statistics, the r-statistics, is introduced. It consists of counting the number of records of the cumulative sum of the sample. The single-sample r-statistic is almost as powerful as Student's t-statistic for…

统计方法学 · 统计学 2015-07-14 Damien Challet

In this work we define a spatial concordance coefficient for second-order stationary processes. This problem has been widely addressed in a non-spatial context, but here we consider a coefficient that for a fixed spatial lag allows one to…

统计方法学 · 统计学 2019-05-14 Ronny Vallejos , Javier Pérez , Aaron M. Ellison , Andrew D. Richardson

Pearson's r, the most widely-used correlation coefficient, is traditionally regarded as exclusively capturing linear dependence, leading to its discouragement in contexts involving nonlinear relationships. However, recent research…

其他统计学 · 统计学 2024-10-15 Xinbo Ai