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We propose a novel distributional regression model for a multivariate response vector based on a copula process over the covariate space. It uses the implicit copula of a Gaussian multivariate regression, which we call a ``regression…

统计方法学 · 统计学 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

统计方法学 · 统计学 2025-08-01 Jeonghwa Lee , Chloe Breece

Gaussian factor models have proven widely useful for parsimoniously characterizing dependence in multivariate data. There is a rich literature on their extension to mixed categorical and continuous variables, using latent Gaussian variables…

统计方法学 · 统计学 2013-01-14 Jared S. Murray , David B. Dunson , Lawrence Carin , Joseph E. Lucas

Understanding the association between dietary patterns and health outcomes, such as the cancer risk, is crucial to inform public health guidelines and shaping future dietary interventions. However, dietary intake data present several…

统计方法学 · 统计学 2025-10-10 Blake Hansen , Dafne Zorzetto , Valeria Edefonti , Roberta De Vito

We provide novel probabilistic portrayals of two multivariate models designed to handle zero-inflation in count-compositional data. We develop a new unifying framework that represents both as finite mixture distributions. One of these…

统计方法学 · 统计学 2026-03-31 André F. B. Menezes , Andrew C. Parnell , Keefe Murphy

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…

统计方法学 · 统计学 2020-06-30 Michael Stanley Smith , Nadja Klein

We follow a long path for Credit Derivatives and Collateralized Debt Obligations (CDOs) in particular, from the introduction of the Gaussian copula model and the related implied correlations to the introduction of arbitrage-free dynamic…

证券定价 · 定量金融 2010-02-17 Damiano Brigo , Andrea Pallavicini , Roberto Torresetti

Bayesian modelling for cost-effectiveness data has received much attention in both the health economics and the statistical literature in recent years. Cost-effectiveness data are characterised by a relatively complex structure of…

统计理论 · 数学 2013-07-22 Gianluca Baio

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…

统计方法学 · 统计学 2026-02-06 Francesca Labanca , Anna Gottard , Nadja Klein

Sequencing-based technologies provide an abundance of high-dimensional biological datasets with skewed and zero-inflated measurements. Classification of such data with linear discriminant analysis leads to poor performance due to the…

统计方法学 · 统计学 2022-08-09 Hee Cheol Chung , Yang Ni , Irina Gaynanova

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…

统计方法学 · 统计学 2023-04-10 Joseph Feldman , Daniel R. Kowal

Despite major methodological developments, Bayesian inference for Gaussian graphical models remains challenging in high dimension due to the tremendous size of the model space. This article proposes a method to infer the marginal and…

统计方法学 · 统计学 2018-04-10 Gwenaël G. R. Leday , Sylvia Richardson

Microorganisms play critical roles in human health and disease. It is well known that microbes live in diverse communities in which they interact synergistically or antagonistically. Thus for estimating microbial associations with clinical…

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…

统计方法学 · 统计学 2022-09-22 Zili Zhang , Christiana Charalambous , Peter Foster

Count data with zero inflation and large outliers are ubiquitous in many scientific applications. However, posterior analysis under a standard statistical model, such as Poisson or negative binomial distribution, is sensitive to such…

统计方法学 · 统计学 2024-05-09 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

There are numerous applications which involve modeling multi-dimensional count data, notably in actuarial science and risk management. When such data exhibit an excess of zeros, common count models are no longer suitable. With multivariate…

统计方法学 · 统计学 2025-09-30 Golshid Aflaki , Juliana Schulz , Jean-François Plante

Missing values with mixed data types is a common problem in a large number of machine learning applications such as processing of surveys and in different medical applications. Recently, Gaussian copula models have been suggested as a means…

机器学习 · 统计学 2021-07-02 Benjamin Christoffersen , Mark Clements , Keith Humphreys , Hedvig Kjellström

We introduce a Bayesian nonparametric regression model for data with multiway (tensor) structure, motivated by an application to periodontal disease (PD) data. Our outcome is the number of diseased sites measured over four different tooth…

应用统计 · 统计学 2019-02-01 Eric F. Lock , Dipankar Bandyopadhyay

Count data appears in various disciplines. In this work, a new method to analyze time series count data has been proposed. The method assumes exponentially decaying covariance structure, a special class of the Mat\'ern covariance function,…

统计方法学 · 统计学 2021-02-19 Soudeep Deb

Missing data is a common issue in various fields such as medicine, social sciences, and natural sciences, and it poses significant challenges for accurate statistical analysis. Although numerous imputation methods have been proposed to…

统计方法学 · 统计学 2025-07-23 Seongmin Kim , Jeunghun Oh , Hungkuk Ko , Jeongmin Park , Jaeyong Lee