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Many probabilistic models that have an intractable normalizing constant may be extended to contain covariates. Since the evaluation of the exact likelihood is difficult or even impossible for these models, score matching was proposed to…

统计理论 · 数学 2022-03-21 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

Measuring strength or degree of statistical dependence between two random variables is a common problem in many domains. Pearson's correlation coefficient $\rho$ is an accurate measure of linear dependence. We show that $\rho$ is a…

统计理论 · 数学 2018-04-24 Priyantha Wijayatunga

Analyzing high-dimensional data with manifold learning algorithms often requires searching for the nearest neighbors of all observations. This presents a computational bottleneck in statistical manifold learning when observations of…

机器学习 · 计算机科学 2022-03-11 Fan Cheng , Anastasios Panagiotelis , Rob J Hyndman

The paper considers a new quantitative-qualitative proximity measure for the features of information objects, where data enters a common information resource from several sources independently. The goal is to determine the possibility of…

人工智能 · 计算机科学 2026-04-08 Volodymyr Yuzefovych

In the paper, we introduce a new measure of correlation between possibly non-stationary series. As the measure is based on the detrending moving-average cross-correlation analysis (DMCA), we label it as the DMCA coefficient…

统计金融 · 定量金融 2014-03-27 Ladislav Kristoufek

Determining the strength of non-linear statistical dependencies between two variables is a crucial matter in many research fields. The established measure for quantifying such relations is the mutual information. However, estimating mutual…

数据分析、统计与概率 · 物理学 2019-07-24 Damián G. Hernández , Inés Samengo

This paper suggests five measures of association between two random vectors X = (X_1, ..., X_p) and Y = (Y_1, ..., Y_q). They are copula based and therefore invariant with respect to the marginal distributions of the components X_i and Y_j.…

统计方法学 · 统计学 2011-07-25 Oliver Grothe , Friedrich Schmid , Julius Schnieders , Johan Segers

For a high-dimensional linear model with a finite number of covariates measured with error, we study statistical inference on the parameters associated with the error-prone covariates, and propose a new corrected decorrelated score test and…

统计方法学 · 统计学 2020-01-29 Mengyan Li , Runze Li , Yanyuan Ma

In this paper, we develop a novel high-dimensional coefficient estimation procedure based on high-frequency data. Unlike usual high-dimensional regression procedures such as LASSO, we additionally handle the heavy-tailedness of…

统计方法学 · 统计学 2025-10-22 Minseok Shin , Donggyu Kim

In this paper, a class of statistics named ART (the alternant recursive topology statistics) is proposed to measure the properties of correlation between two variables. A wide range of bi-variable correlations both linear and nonlinear can…

统计方法学 · 统计学 2016-02-26 Lijue Liu , Ming Li , Sha Wen

In statistical classification and machine learning, as well as in social and other sciences, a number of measures of association have been proposed for assessing and comparing individual classifiers, raters, as well as their groups. In this…

机器学习 · 统计学 2020-02-04 Nadezhda Gribkova , Ričardas Zitikis

Many statistical applications require the quantification of joint dependence among more than two random vectors. In this work, we generalize the notion of distance covariance to quantify joint dependence among d >= 2 random vectors. We…

统计方法学 · 统计学 2018-06-18 Shubhadeep Chakraborty , Xianyang Zhang

We introduce the Statistical Asynchronous Regression (SAR) method: a technique for determining a relationship between two time varying quantities without simultaneous measurements of both quantities. We require that there is a time…

统计力学 · 物理学 2015-06-24 T. P. O'Brien , D. Sornette , R. L. McPherron

In Science, Reshef et al. (2011) proposed the concept of equitability for measures of dependence between two random variables. To this end, they proposed a novel measure, the maximal information coefficient (MIC). Recently a PNAS paper…

统计方法学 · 统计学 2023-04-17 A. Adam Ding , Yi Li

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

统计理论 · 数学 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

Meta-regression is often used to form hypotheses about what is associated with heterogeneity in a meta-analysis and to estimate the extent to which effects can vary between cohorts and other distinguishing factors. However, study-level…

统计方法学 · 统计学 2021-11-19 Maxwell Cairns , Luke A. Prendergast

Copula models have been widely used to model the dependence between continuous random variables, but modeling count data via copulas has recently become popular in the statistics literature. Spearman's rho is an appropriate and effective…

统计方法学 · 统计学 2020-12-21 Hadi Safari-Katesari , S. Yaser Samadi , Samira Zaroudi

dentifying associations among biological variables is a major challenge in modern quantitative biological research, particularly given the systemic and statistical noise endemic to biological systems. Drug sensitivity data has proven to be…

This paper discusses change detection in SAR time-series. Firstly, several statistical properties of the coefficient of variation highlight its pertinence for change detection. Then several criteria are proposed. The coefficient of…

数据分析、统计与概率 · 物理学 2020-05-19 Elise Colin Koeniguer , Jean-Marie Nicolas

Classical dependence measures such as Pearson correlation, Spearman's $\rho$, and Kendall's $\tau$ can detect only monotonic or linear dependence. To overcome these limitations, Szekely et al.(2007) proposed distance covariance as a…

统计计算 · 统计学 2019-02-07 Arin Chaudhuri , Wenhao Hu