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Related papers: On kernel-based estimation of conditional Kendall'…

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Conditional Kendall's tau is a measure of dependence between two random variables, conditionally on some covariates. We assume a regression-type relationship between conditional Kendall's tau and some covariates, in a parametric setting…

Statistics Theory · Mathematics 2018-11-21 Alexis Derumigny , Jean-David Fermanian

We show how the problem of estimating conditional Kendall's tau can be rewritten as a classification task. Conditional Kendall's tau is a conditional dependence parameter that is a characteristic of a given pair of random variables. The…

Computation · Statistics 2018-11-27 Alexis Derumigny , Jean-David Fermanian

Kendall's tau and conditional Kendall's tau matrices are multivariate (conditional) dependence measures between the components of a random vector. For large dimensions, available estimators are computationally expensive and can be improved…

Statistics Theory · Mathematics 2024-12-30 Rutger van der Spek , Alexis Derumigny

In this paper, we propose a simple and easy-to-implement Bayesian hypothesis test for the presence of an association, described by Kendall's \tau coefficient, between two variables measured on at least an ordinal scale. Owing to the absence…

Methodology · Statistics 2022-09-09 Shen Zhang , Keying Ye , Min Wang

The rank-based association between two variables can be modeled by introducing a latent normal level to ordinal data. We demonstrate how this approach yields Bayesian inference for Kendall's rank correlation coefficient, improving on a…

Methodology · Statistics 2018-05-25 Johnny van Doorn , Alexander Ly , Maarten Marsman , Eric-Jan Wagenmakers

In the present paper, we discuss for the first time the theoretical Kendall correlation coefficient for non-identical bivariate data. In the non-identical case, we first introduce a theoretical Kendall correlation coefficient $\tau_n$ and…

Statistics Theory · Mathematics 2026-03-27 Alexei Stepanov

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the constancy of the conditional dependence structure when some…

Methodology · Statistics 2020-08-24 Alexis Derumigny , Jean-David Fermanian , Aleksey Min

We establish the first nonasymptotic error bounds for Kaplan-Meier-based nearest neighbor and kernel survival probability estimators where feature vectors reside in metric spaces. Our bounds imply rates of strong consistency for these…

Machine Learning · Statistics 2022-09-16 George H. Chen

We present a new non-parametric estimator of the conditional density of the kernel type. It is based on an efficient transformation of the data by quantile transform. By use of the copula representation, it turns out to have a remarkable…

Methodology · Statistics 2008-06-13 Olivier P. Faugeras

Kendall's tau and Spearman's rho are widely used tools for measuring dependence. Surprisingly, when it comes to asymptotic inference for these rank correlations, some fundamental results and methods have not yet been developed, in…

Methodology · Statistics 2026-02-11 Marc-Oliver Pohle , Jan-Lukas Wermuth , Christian H. Weiß

For a bivariate time series $((X_i,Y_i))_{i=1,...,n}$ we want to detect whether the correlation between $X_i$ and $Y_i$ stays constant for all $i = 1,...,n$. We propose a nonparametric change-point test statistic based on Kendall's tau and…

Statistics Theory · Mathematics 2022-04-12 Herold Dehling , Daniel Vogel , Martin Wendler , Dominik Wied

Recent studies demonstrate that trends in indicators extracted from measured time series can indicate approaching to an impending transition. Kendall's {\tau} coefficient is often used to study the trend of statistics related to the…

Data Analysis, Statistics and Probability · Physics 2020-10-07 Shiyang Chen , Amin Ghadami , Bogdan I. Epureanu

We propose an estimator of the kernel-based conditional mean dependence measure obtained from an appropriate modification of a naive estimator based on usual empirical estimators. We then get asymptotic normality of this estimator both…

Statistics Theory · Mathematics 2022-07-27 Terence Kevin Manfoumbi Djonguet , Guy Martial Nkiet

In this paper, we extend the work of Pimentel et al. (2015) and propose an adjusted estimator of Kendall's $\tau$ for bivariate zero-inflated count data. We provide achievable lower and upper bounds of our proposed estimator and show its…

Statistics Theory · Mathematics 2022-08-08 Elisa Perrone , Edwin R. van den Heuvel , Zhuozhao Zhan

This paper considers extensions of minimum-disparity estimators to the problem of estimating parameters in a regression model that is conditionally specified; that is where a parametric model describes the distribution of a response $y$…

Statistics Theory · Mathematics 2016-02-10 Giles Hooker

We consider a Kendall's tau measure between a binary group indicator and the continuous variable under investigation to develop a thorough two-sample comparison procedure. The measure serves as a useful alternative to the hazard ratio whose…

We propose a new conditional dependence measure and a statistical test for conditional independence. The measure is based on the difference between analytic kernel embeddings of two well-suited distributions evaluated at a finite set of…

Machine Learning · Statistics 2022-06-17 Meyer Scetbon , Laurent Meunier , Yaniv Romano

We study the conditional expert Kaplan-Meier estimator, an extension of the classical Kaplan--Meier estimator designed for time-to-event data subject to both right-censoring and contamination. Such contamination, where observed events may…

Methodology · Statistics 2026-01-06 Martin Bladt , Kristian Vilhelm Dinesen

Methods are developed for checking and completing systems of bivariate and multivariate Kendall's tau concordance measures in applications where only partial information about dependencies between variables is available. The concept of a…

Statistics Theory · Mathematics 2022-05-12 Alexander J. McNeil , Johanna G. Neslehova , Andrew D. Smith

In this paper we study some asymptotic properties of the kernel conditional quantile estimator with randomly left-truncated data which exhibit some kind of dependence. We extend the result obtained by Lemdani, Ould-Sa\"id and Poulin [16] in…

Statistics Theory · Mathematics 2008-10-08 Elias Ould-Saïd , Djabrane Yahia , Abdelhakim Necir
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