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A novel copula-based multivariate panel ordinal model is developed to estimate structural relations among components of well-being. Each ordinal time-series is modelled using a copula-based Markov model to relate the marginal distributions…

Methodology · Statistics 2017-06-02 Aristidis K. Nikoloulopoulos , Emmanouil Mentzakis

High-dimensional mixed data as a combination of both continuous and ordinal variables are widely seen in many research areas such as genomic studies and survey data analysis. Estimating the underlying correlation among mixed data is hence…

Methodology · Statistics 2018-09-18 Xiaoyun Quan , James G. Booth , Martin T. Wells

A new index based on empirical copulas, termed the Copula Statistic (CoS), is introduced for assessing the strength of multivariate dependence and for testing statistical independence. New properties of the copulas are proved. They allow us…

Statistics Theory · Mathematics 2016-12-22 Mohsen Ben Hassine , Lamine Mili , Kiran Karra

We develop a model-based boosting approach for multivariate distributional regression within the framework of generalized additive models for location, scale, and shape. Our approach enables the simultaneous modeling of all distribution…

Methodology · Statistics 2022-07-19 Annika Strömer , Nadja Klein , Christian Staerk , Hannah Klinkhammer , Andreas Mayr

Spaces with locally varying scale of measurement, like multidimensional structures with differently scaled dimensions, are pretty common in statistics and machine learning. Nevertheless, it is still understood as an open question how to…

Machine Learning · Statistics 2024-03-05 Christoph Jansen , Georg Schollmeyer , Hannah Blocher , Julian Rodemann , Thomas Augustin

Various papers demonstrate the importance of inequality, poverty and the size of the middle class for economic growth. When explaining why these measures of the income distribution are added to the growth regression, it is often mentioned…

Econometrics · Economics 2019-03-07 Max Köhler , Stefan Sperlich , Jisu Yoon

In recent years, conditional copulas, that allow dependence between variables to vary according to the values of one or more covariates, have attracted increasing attention. In high dimension, vine copulas offer greater flexibility compared…

Methodology · Statistics 2021-09-24 Rosario Barone , Luciana Dalla Valle

Various data modalities are common in real-world applications (e.g., electronic health records, medical images and clinical notes in healthcare). It is essential to develop multimodal learning methods to aggregate various information from…

Machine Learning · Computer Science 2025-11-06 Feng Wu , Tsai Hor Chan , Fuying Wang , Guosheng Yin , Lequan Yu

Use copula to model dependency of variable extends multivariate gaussian assumption. In this paper we first empirically studied copula regression model with continous response. Both simulation study and real data study are given. Secondly…

Methodology · Statistics 2021-01-05 Weijian Luo , Mai Wo

We propose a new multivariate dependency measure. It is obtained by considering a Gaussian kernel based distance between the copula transform of the given d-dimensional distribution and the uniform copula and then appropriately normalizing…

Statistics Theory · Mathematics 2019-11-12 Angshuman Roy , Alok Goswami , C. A. Murthy

Poverty is a multifaceted phenomenon linked to the lack of capabilities of households to earn a sustainable livelihood, increasingly being assessed using multidimensional indicators. Its spatial pattern depends on social, economic,…

Computation and Language · Computer Science 2023-04-28 Atharva Kulkarni , Raya Das , Ravi S. Srivastava , Tanmoy Chakraborty

Multilevel models (mixed-effect models or hierarchical linear models) are now a standard approach to analysing clustered and longitudinal data in the social, behavioural and medical sciences. This review article focuses on multilevel linear…

Methodology · Statistics 2019-07-16 George Leckie

A bivariate copula mixed model has been recently proposed to synthesize diagnostic test accuracy studies and it has been shown that is superior to the standard generalized linear mixed model (GLMM) in this context. Here we call trivariate…

Methodology · Statistics 2017-11-09 Aristidis K. Nikoloulopoulos

Vector autoregression is an essential tool in empirical macroeconomics and finance for understanding the dynamic interdependencies among multivariate time series. In this study, we expand the scope of vector autoregression by incorporating…

Econometrics · Economics 2023-03-21 Yunyun Wang , Tatsushi Oka , Dan Zhu

We exploit a multivariate multilevel model for the analysis of the Italian sample of the TIMSS\&PIRLS 2011 Combined International Database on fourth grade students. The multivariate approach jointly considers educational achievement on…

Applications · Statistics 2015-08-18 Leonardo Grilli , Fulvia Pennoni , Carla Rampichini , Isabella Romeo

Recent advances in deep learning have enabled the inference of urban socioeconomic characteristics from satellite imagery. However, models relying solely on urbanization traits often show weak correlations with poverty indicators, as…

Computers and Society · Computer Science 2025-09-08 Sungwon Park , Sumin Lee , Jihee Kim , Jae-Gil Lee , Meeyoung Cha , Jeasurk Yang , Donghyun Ahn

Implicit copulas are the most common copula choice for modeling dependence in high dimensions. This broad class of copulas is introduced and surveyed, including elliptical copulas, skew $t$ copulas, factor copulas, time series copulas and…

Methodology · Statistics 2021-09-13 Michael Stanley Smith

Following our previous work on copula-based nonsymmetric bivariate dependence measures, we propose a new set of conditions on nonsymmetric multivariate dependence measures which characterize both independence and complete dependence of one…

Methodology · Statistics 2015-12-04 Hui Li

We introduce a novel forecasting model for crop yields that explicitly accounts for spatio-temporal dependence and the influence of extreme weather and climatic events. Our approach combines Bayesian Structural Time Series for modeling…

Methodology · Statistics 2025-04-01 Marie Michaelides , Mélina Mailhot , Yongkun Li

We propose a comprehensive Bayesian approach for graphical model determination in observational studies that can accommodate binary, ordinal or continuous variables simultaneously. Our new models are called copula Gaussian graphical models…

Applications · Statistics 2011-08-09 Adrian Dobra , Alex Lenkoski