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A new class of copulas based on order statistics was introduced by Baker (2008). Here, further properties of the bivariate and multivariate copulas are described, such as that of likelihood ratio dominance (LRD), and further bivariate…

Methodology · Statistics 2014-12-03 Rose Baker

Poverty maps are essential tools for governments and NGOs to track socioeconomic changes and adequately allocate infrastructure and services in places in need. Sensor and online crowd-sourced data combined with machine learning methods have…

Machine Learning · Computer Science 2023-04-07 Lisette Espín-Noboa , János Kertész , Márton Karsai

Datasets containing both categorical and continuous variables are frequently encountered in many areas, and with the rapid development of modern measurement technologies, the dimensions of these variables can be very high. Despite the…

Methodology · Statistics 2024-01-03 Binyan Jiang , Chenlei Leng , Cheng Wang , Zhongqing Yang , Xinyang Yu

We introduce a general approach for modeling the dynamic of multivariate time series when the data are of mixed type (binary/count/continuous). Our method is quite flexible and conditionally on past values, each coordinate at time $t$ can…

Methodology · Statistics 2021-04-05 Zinsou Max Debaly , Lionel Truquet

A frequent task in exploratory data analysis consists in examining pairwise dependencies between data variables. Popular approaches include visualizing correlation or scatter plot matrices. However, both methods can be misleading. The…

Applications · Statistics 2022-04-04 Arturo Erdely , Manuel Rubio-Sanchez

We assume that we have multiple ordinal time series and we would like to specify their joint distribution. In general it is difficult to create multivariate distribution that can be easily used to jointly model ordinal variables and the…

Methodology · Statistics 2026-02-16 Anna Nalpantidi , Dimitris Karlis

Health and poverty in Thailand exhibit pronounced geographic structuring, yet the extent to which they operate as interconnected regional systems remains insufficiently understood. This study analyzes ICD-10 chapter-level morbidity and…

A time-varying bivariate copula joint model, which models the repeatedly measured longitudinal outcome at each time point and the survival data jointly by both the random effects and time-varying bivariate copulas, is proposed in this…

Methodology · Statistics 2024-12-03 Zili Zhang , Christiana Charalambous , Peter Foster

In causal inference with ordinal outcomes, several interpretable estimands are functions of the probability that the potential outcome under one treatment is larger than that under another treatment for the same unit. This probability…

Methodology · Statistics 2026-05-13 Peiyu He , Fan Li

This paper introduces distributional regression, also known as generalized additive models for location, scale and shape (GAMLSS), as a modeling framework for analyzing treatment effects beyond the mean. By relating each parameter of the…

Applications · Statistics 2019-03-29 Maike Hohberg , Peter Pütz , Thomas Kneib

Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world…

Applications · Statistics 2018-04-30 Nazih Benoumechiara , Bertrand Michel , Philippe Saint-Pierre , Nicolas Bousquet

Longitudinal processes often unfold concurrently where the growth of two or more longitudinal outcomes are associated. Additionally, if the study under investigation is long, the growth curves may exhibit nonconstant change with respect to…

Methodology · Statistics 2022-08-23 Jin Liu , Robert A. Perera

Longitudinal and survival sub-models are two building blocks for joint modelling of longitudinal and time to event data. Extensive research indicates separate analysis of these two processes could result in biased outputs due to their…

Methodology · Statistics 2022-09-22 Zili Zhang , Christiana Charalambous , Peter Foster

We propose a flexible Bayesian approach for estimating the joint density of a multivariate outcome of interest in the presence of categorical covariates. Leveraging a Gaussian copula framework, our method effectively captures the dependence…

Methodology · Statistics 2026-04-10 Giovanni Toto , Peter Müller , Abhra Sarkar

Latent factor models that integrate data from multiple sources/studies or modalities have garnered considerable attention across various disciplines. However, existing methods predominantly focus either on multi-study integration or…

Methodology · Statistics 2025-07-15 Wei Liu , Qingzhi Zhong

We are studying the problems of modeling and inference for multivariate count time series data with Poisson marginals. The focus is on linear and log-linear models. For studying the properties of such processes we develop a novel conceptual…

Methodology · Statistics 2017-04-10 Paul Doukhan , Konstantinos Fokianos , Bård Støve , Dag Tjøstheim

Following our previous work on copula-based nonsymmetric dependence measures, we introduce similar measures for discrete random variables. The measures cover the range between two extremes: independence and complete dependence, which take…

Methodology · Statistics 2015-12-29 Hui Li

The need for a method to construct multidimensional distribution function is increasing recently, in the era of huge multiwavelength surveys. We have proposed a systematic method to build a bivariate luminosity or mass function of galaxies…

Astrophysics of Galaxies · Physics 2020-09-02 Tsutomu T. Takeuchi , Kai T. Kono

Many scientific applications involve mixed spatially indexed outcomes of heterogeneous types that are driven by shared latent mechanisms. Modeling such data is challenging due to complex, nonlinear, and potentially nonstationary spatial…

Methodology · Statistics 2026-03-10 Yeseul Jeon , Kyeong Eun Lee , Joon Jin Song

In this paper we introduce a new class of multivariate unimodal distributions, motivated by Khintchine's representation. We start by proposing a univariate model, whose support covers all the unimodal distributions on the real line. The…

Methodology · Statistics 2015-06-25 Marina S. Paez , Stephen G. Walker