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We develop a new method for multivariate scalar on multidimensional distribution regression. Traditional approaches typically analyze isolated univariate scalar outcomes or consider unidimensional distributional representations as…

Methodology · Statistics 2023-10-17 Rahul Ghosal , Marcos Matabuena

In this article we redefine various poverty measures in literature in terms of quantile functions instead of distribution functions in the prevailing approach. This enables provision for alternative methodology for poverty measurement and…

Statistics Theory · Mathematics 2025-04-09 N. Unnikrishnan Nair , S. M. Sunoj

It is well known that non-parametric methods suffer from the "curse of dimensionality". We propose here a new estimation method for a multivariate distribution, using sub-sampling and ranks, which seems not to suffer from this "curse". We…

Statistics Theory · Mathematics 2013-11-08 Collet Jérôme

We develop factor copula models for analysing the dependence among mixed continuous and discrete responses. Factor copula models are canonical vine copulas that involve both observed and latent variables, hence they allow tail, asymmetric…

Methodology · Statistics 2020-11-18 Sayed H. Kadhem , Aristidis K. Nikoloulopoulos

Testing for pairwise independence for the case where the number of variables may be of the same size or even larger than the sample size has received increasing attention in the recent years. We contribute to this branch of the literature…

Statistics Theory · Mathematics 2024-09-18 Axel Bücher , Cambyse Pakzad

Cylindrical data frequently arise across various scientific disciplines, including meteorology (e.g., wind direction and speed), oceanography (e.g., marine current direction and speed or wave heights), ecology (e.g., telemetry), and…

Methodology · Statistics 2026-02-06 Francesca Labanca , Anna Gottard , Nadja Klein

In this paper, we study the identifiability and the estimation of the parameters of a copula-based multivariate model when the margins are unknown and are arbitrary, meaning that they can be continuous, discrete, or mixtures of continuous…

Methodology · Statistics 2023-05-11 Bouchra R. Nasri , Bruno N. Remillard

Modern datasets commonly feature both substantial missingness and many variables of mixed data types, which present significant challenges for estimation and inference. Complete case analysis, which proceeds using only the observations with…

Methodology · Statistics 2023-04-10 Joseph Feldman , Daniel R. Kowal

In this paper, we derive copula-based and empirical dependency models (DMs) for simulating non-independent variables, and then propose a new way for determining the distribution of the model outputs conditional on every subset of inputs.…

Statistics Theory · Mathematics 2022-09-12 Matieyendou Lamboni

Copula mixed models for trivariate (or bivariate) meta-analysis of diagnostic test accuracy studies accounting (or not) for disease prevalence have been proposed in the biostatistics literature to synthesize information. However, many…

Methodology · Statistics 2018-07-12 Aristidis K. Nikoloulopoulos

Dependence modeling of multivariate count data has garnered significant attention in recent years. Multivariate elliptical copulas are typically preferred in statistical literature to analyze dependence between repeated measurements of…

Methodology · Statistics 2025-01-22 Subhajit Chattopadhyay

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

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

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

Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

Machine Learning · Statistics 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

Undirected graphical models are a key component in the analysis of complex observational data in a large variety of disciplines. In many of these applications one is interested in estimating the undirected graphical model underlying a…

Applications · Statistics 2015-10-21 Jonas M. B. Haslbeck , Lourens J. Waldorp

Motivated by modern data forms such as images and multi-view data, the multi-attribute graphical model aims to explore the conditional independence structure among vectors. Under the Gaussian assumption, the conditional independence between…

Machine Learning · Statistics 2024-04-11 Qi Zhang , Bing Li , Lingzhou Xue

Cities are characterized by the coexistence of general aggregate patterns, along with many local variations. This poses challenges for analyses of urban phenomena, which tend to be either too aggregated or too local, depending on the…

Physics and Society · Physics 2025-09-30 Luís M. A. Bettencourt , Ivanna Rodriguez , Jordan T. Kemp , José Lobo

In multivariate analysis, uncertainty arises from two sources: the marginal distributions of the variables and their dependence structure. Quantifying the dependence structure is crucial, as it provides valuable insights into the…

Methodology · Statistics 2025-02-19 Swaroop Georgy Zachariah , Mohd. Arshad , Ashok Kumar Pathak

Fully describing the entire data set is essential in multivariate risk assessment, since moderate levels of one variable can influence another, potentially leading it to be extreme. Additionally, modelling both non-extreme and extreme…

Methodology · Statistics 2025-03-11 Lídia M. André , Jonathan A. Tawn
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