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Probability density estimation is a central task in statistics. Copula-based models provide a great deal of flexibility in modelling multivariate distributions, allowing for the specifications of models for the marginal distributions…

Methodology · Statistics 2024-05-08 Nicolás Kuschinski , Richard Warr , Alejandro Jara

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

Statistics Theory · Mathematics 2015-08-18 M. Wojtyś , G. Marra

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a…

Physics and Society · Physics 2019-10-11 Aleksejus Kononovicius

In many real world elections, agents are not required to rank all candidates. We study three of the most common methods used to modify voting rules to deal with such partial votes. These methods modify scoring rules (like the Borda count),…

Computer Science and Game Theory · Computer Science 2014-06-02 Nina Narodytska , Toby Walsh

In many studies multivariate event time data are generated from clusters having a possibly complex association pattern. Flexible models are needed to capture this dependence. Vine copulas serve this purpose. Inference methods for vine…

Applications · Statistics 2017-07-25 Nicole Barthel , Candida Geerdens , Matthias Killiches , Paul Janssen , Claudia Czado

This paper proposes multivariate copula models for hierarchical data. They account for two types of correlation: one is between variables measured on the same unit and the other is a correlation between units in the same cluster. This model…

Methodology · Statistics 2023-04-24 Talagbe Gabin Akpo , Louis-Paul Rivest

Dependence strucuture estimation is one of the important problems in machine learning domain and has many applications in different scientific areas. In this paper, a theoretical framework for such estimation based on copula and copula…

Machine Learning · Computer Science 2019-09-11 Jian Ma , Zengqi Sun

The empirical copula process, a fundamental tool for copula inference, is studied in the high dimensional regime where the dimension is allowed to grow to infinity exponentially in the sample size. Under natural, weak smoothness assumptions…

Statistics Theory · Mathematics 2025-09-25 Axel Bücher , Cambyse Pakzad

Joint multivariate longitudinal and time-to-event data are gaining increasing attention in the biomedical sciences where subjects are followed over time to monitor the progress of a disease or medical condition. In the insurance context,…

Methodology · Statistics 2019-02-12 Edward W. Frees , Catalina Bolancé , Montserrat Guillen , Emiliano Valdez

We define a copula process which describes the dependencies between arbitrarily many random variables independently of their marginal distributions. As an example, we develop a stochastic volatility model, Gaussian Copula Process Volatility…

Methodology · Statistics 2010-06-24 Andrew Gordon Wilson , Zoubin Ghahramani

The empirical copula process plays a central role in the asymptotic analysis of many statistical procedures which are based on copulas or ranks. Among other applications, results regarding its weak convergence can be used to develop…

Statistics Theory · Mathematics 2014-11-24 Axel Bücher , Betina Berghaus , Stanislav Volgushev

The Copula is widely used to describe the relationship between the marginal distribution and joint distribution of random variables. The estimation of high-dimensional Copula is difficult, and most existing solutions rely either on…

Machine Learning · Computer Science 2022-11-02 Zhi Zeng , Ting Wang

The popular choice of using a $direct$ forecasting scheme implies that the individual predictions do not contain information on cross-horizon dependence. However, this dependence is needed if the forecaster has to construct, based on…

Econometrics · Economics 2024-12-10 Matteo Mogliani , Florens Odendahl

Classical and more recent tests for detecting distributional changes in multivariate time series often lack power against alternatives that involve changes in the cross-sectional dependence structure. To be able to detect such changes…

Statistics Theory · Mathematics 2014-09-16 Axel Bücher , Ivan Kojadinovic , Tom Rohmer , Johan Segers

The only acceptable form of polling in the multi-billion dollar survey research field utilizes representative samples. We argue that with proper statistical adjustment, non-representative polling can provide accurate predictions, and often…

Social and Information Networks · Computer Science 2014-07-01 David Rothschild , Sharad Goel , Andrew Gelman , Doug Rivers

We propose a new semi-parametric distributional regression smoother that is based on a copula decomposition of the joint distribution of the vector of response values. The copula is high-dimensional and constructed by inversion of a pseudo…

Methodology · Statistics 2020-06-30 Michael Stanley Smith , Nadja Klein

We introduce the model of line-up elections which captures parallel or sequential single-winner elections with a shared candidate pool. The goal of a line-up election is to find a high-quality assignment of a set of candidates to a set of…

Computer Science and Game Theory · Computer Science 2020-07-10 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Rolf Niedermeier

A dependence measure for arbitrary type pairs of random variables is proposed and analyzed, which in the particular case where both random variables are continuous turns out to be a concordance measure. Also, a sample version of the…

Statistics Theory · Mathematics 2017-02-07 Arturo Erdely

The present work addresses the question how sampling algorithms for commonly applied copula models can be adapted to account for quasi-random numbers. Besides sampling methods such as the conditional distribution method (based on a…

Computation · Statistics 2016-03-15 Mathieu Cambou , Marius Hofert , Christiane Lemieux

Variable selection is of significant importance for classification and regression tasks in machine learning and statistical applications where both predictability and explainability are needed. In this paper, a Copula Entropy (CE) based…

Machine Learning · Computer Science 2020-07-30 Jian Ma