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We investigate the relative information content of six measures of dependence between two random variables $X$ and $Y$ for large or extreme events for several models of interest for financial time series. The six measures of dependence are…

Statistical Mechanics · Physics 2008-12-10 Y. Malevergne , D. Sornette

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…

Computation · Statistics 2019-02-07 Arin Chaudhuri , Wenhao Hu

This paper presents a unified rank-based inferential procedure for fitting the accelerated failure time model to partially interval-censored data. A Gehan-type monotone estimating function is constructed based on the idea of the familiar…

Methodology · Statistics 2026-04-14 Taehwa Choi , Sangbum Choi , Dipankar Bandyopadhyay

We present an improved method for calculating the parallel and perpendicular velocity correlation functions directly from peculiar velocity surveys using weighted maximum-likelihood estimators. A central feature of the new method is the use…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Yuyu Wang , Sarah Peery , Hume A. Feldman , Richard Watkins

We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated weighted networks do not exist due to the presence of…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Angeles Serrano , Marian Boguna , Romualdo Pastor-Satorras

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…

Applications · Statistics 2020-11-30 Kaushik Jana , Debasis Sengupta

There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all alternatives. In this…

Statistics Theory · Mathematics 2008-12-18 Hammou El Barmi , Subhash Kochar , Hari Mukerjee

We derive asymptotic expansions up to order $n^{-1/2}$ for the nonnull distribution functions of the likelihood ratio, Wald, score and gradient test statistics in the class of dispersion models, under a sequence of Pitman alternatives. The…

Statistics Theory · Mathematics 2011-02-23 Artur J. Lemonte , Silvia L. P. Ferrari

We consider the problem of testing mutual independence among the components of a high-dimensional random vector. Building on the rank-based max-sum framework, we introduce fixed finite-$L_q$ power-sum statistics under three general classes…

Methodology · Statistics 2026-05-26 Ping Zhao , Hongfei Wang , Long Feng

While the asymptotic relative efficiency (ARE) of Wilcoxon rank-based tests for location and regression with respect to their parametric Student competitors can be arbitrarily large, Hodges and Lehmann (1961) have shown that the ARE of the…

Statistics Theory · Mathematics 2013-05-22 Marc Hallin , Thomas Verdebout , Yvik Swan

We propose a principal components regression method based on maximizing a joint pseudo-likelihood for responses and predictors. Our method uses both responses and predictors to select linear combinations of the predictors relevant for the…

Methodology · Statistics 2021-08-10 Karl Oskar Ekvall

Weighted correlation functions are an increasingly important tool for understanding how galaxy properties depend on their separation from each other. We use a mock galaxy sample drawn from the Millenium simulation, assigning weights using a…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-20 Aday R. Robaina , Eric F. Bell

We describe a new semantic relatedness measure combining the Wikipedia-based Explicit Semantic Analysis measure, the WordNet path measure and the mixed collocation index. Our measure achieves the currently highest results on the WS-353…

Computation and Language · Computer Science 2011-08-23 Yannis Haralambous , Vitaly Klyuev

A necessary and suffcient condition for Pitman's asymptotic relative effciency (ARE) of the Kendall and Spearman correlation statistics for the independence test to be 1 is given, in terms of certain smoothness and nondegeneracy properties…

Statistics Theory · Mathematics 2022-08-04 Iosif Pinelis

Convex rank tests are partitions of the symmetric group which have desirable geometric properties. The statistical tests defined by such partitions involve counting all permutations in the equivalence classes. Each class consists of the…

Combinatorics · Mathematics 2008-02-17 Jason Morton , Lior Pachter , Anne Shiu , Bernd Sturmfels , Oliver Wienand

Weighted association rule mining reflects semantic significance of item by considering its weight. Classification constructs the classifier and predicts the new data instance. This paper proposes compact weighted class association rule…

Databases · Computer Science 2011-12-12 S. P. Syed Ibrahim , K. R. Chandran

Pearson's $\rho$ is the most used measure of statistical dependence. It gives a complete characterization of dependence in the Gaussian case, and it also works well in some non-Gaussian situations. It is well known, however, that it has a…

Statistics Theory · Mathematics 2018-09-28 Dag Tjøstheim , Håkon Otneim , Bård Støve

Composite indicators aggregate a set of variables using weights which are understood to reflect the variables' importance in the index. In this paper we propose to measure the importance of a given variable within existing composite…

Applications · Statistics 2018-08-02 Paolo Paruolo , Andrea Saltelli , Michaela Saisana

We propose a generalization of the concept of assortativity based on the tensorial representation of multilayer networks, covering the definitions given in terms of Pearson and Spearman coefficients. Our approach can also be applied to…

Physics and Society · Physics 2015-07-17 Guilherme Ferraz de Arruda , Emanuele Cozzo , Yamir Moreno , Francisco A. Rodrigues

This paper develops an axiomatic framework for ranking metrics, a general class of functionals for evaluating and ordering financial or insurance positions. Unlike traditional risk-adjusted performance measures-such as the Sharpe ratio,…

Risk Management · Quantitative Finance 2026-04-21 Asmerilda Hitaj , Elisa Mastrogiacomo , Ilaria Peri , Marcelo Righi