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We propose a new class of extreme-value copulas which are extreme-value limits of conditional normal models. Conditional normal models are generalizations of conditional independence models, where the dependence among observed variables is…

统计方法学 · 统计学 2021-02-16 Pavel Krupskii , Marc G. Genton

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…

应用统计 · 统计学 2018-04-30 Nazih Benoumechiara , Bertrand Michel , Philippe Saint-Pierre , Nicolas Bousquet

We develop a novel Bayesian method to select important predictors in regression models with multiple responses of diverse types. A sparse Gaussian copula regression model is used to account for the multivariate dependencies between any…

统计方法学 · 统计学 2020-09-22 Angelos Alexopoulos , Leonardo Bottolo

The composite likelihood (CL) is amongst the computational methods used for the estimation of high-dimensional multivariate normal (MVN) copula models with discrete responses. Its computational advantage, as a surrogate likelihood method,…

统计方法学 · 统计学 2022-03-10 Aristidis K. Nikoloulopoulos

This paper introduces a new class of observation driven dynamic models. The time evolving parameters are driven by innovations of copula form. The resulting models can be made strictly stationary and the innovation term is typically chosen…

统计方法学 · 统计学 2021-04-05 Landan Zhang , Michael K. Pitt , Robert Kohn

Parametric conditional copula models allow the copula parameters to vary with a set of covariates according to an unknown calibration function. Flexible Bayesian inference for the calibration function of a bivariate conditional copula is…

统计方法学 · 统计学 2017-05-26 Evgeny Levi , Radu V. Craiu

We utilize copulas to constitute a unified framework for constructing and optimizing variational proposals in hierarchical Bayesian models. For models with continuous and non-Gaussian hidden variables, we propose a semiparametric and…

机器学习 · 统计学 2016-05-19 Shaobo Han , Xuejun Liao , David B. Dunson , Lawrence Carin

The partial copula provides a method for describing the dependence between two random variables $X$ and $Y$ conditional on a third random vector $Z$ in terms of nonparametric residuals $U_1$ and $U_2$. This paper develops a nonparametric…

统计理论 · 数学 2021-04-30 Lasse Petersen , Niels Richard Hansen

Key to effective generic, or "black-box", variational inference is the selection of an approximation to the target density that balances accuracy and speed. Copula models are promising options, but calibration of the approximation can be…

统计方法学 · 统计学 2022-07-01 Michael Stanley Smith , Rubén Loaiza-Maya

Temporal, spatial or spatio-temporal probabilistic models are frequently used for weather forecasting. The D-vine (drawable vine) copula quantile regression (DVQR) is a powerful tool for this application field, as it can automatically…

统计方法学 · 统计学 2023-09-12 David Jobst , Annette Möller , Jürgen Groß

In some areas of knowledge there are data representing directions restricted to a specific range of values. Consequently, it is useful to have models for describing variables defined in subsets of the k-dimensional unit sphere. This need…

统计方法学 · 统计学 2025-07-17 Joel Montesinos-Vazquez , Gabriel Núñez-Antonio

Many post-processing methods improve forecasts at individual locations but remove their correlation structure, which is crucial for predicting larger-scale events like total precipitation amount over areas such as river catchments that are…

统计方法学 · 统计学 2024-08-13 Peter Schaumann , Martin Rempel , Ulrich Blahak , Volker Schmidt

The continuous extension of a discrete random variable is amongst the computational methods used for estimation of multivariate normal copula-based models with discrete margins. Its advantage is that the likelihood can be derived…

统计方法学 · 统计学 2014-11-10 Aristidis K. Nikoloulopoulos

Multivariate time series (MTS) data often include a heterogeneous mix of non-Gaussian distributional features (asymmetry, multimodality, heavy tails) and data types (continuous and discrete variables). Traditional MTS methods based on…

统计方法学 · 统计学 2025-02-25 John Zito , Daniel R. Kowal

Graphical models are an important tool in exploring relationships between variables in complex, multivariate data. Methods for learning such graphical models are well developed in the case where all variables are either continuous or…

机器学习 · 统计学 2024-02-15 Konstantin Göbler , Anne Miloschewski , Mathias Drton , Sach Mukherjee

Zero-inflated continuous data ubiquitously appear in many fields, in which lots of exactly zero-valued data are observed while others distribute continuously. Due to the mixed structure of discreteness and continuity in its distribution,…

统计方法学 · 统计学 2024-10-28 Keita Hamamoto

We propose a score test for dependence predictability in conditional copulas that is robust to temporal instabilities. Our semiparametric procedure accommodates flexible dynamics in the marginal processes and remains agnostic about the…

计量经济学 · 经济学 2026-03-03 Alexander Mayer , Tatsushi Oka , Dominik Wied

In this work, we propose a novel deep bootstrap framework for nonparametric regression based on conditional diffusion models. Specifically, we construct a conditional diffusion model to learn the distribution of the response variable given…

机器学习 · 统计学 2026-02-12 Jinyuan Chang , Yuling Jiao , Lican Kang , Junjie Shi

We propose a robust method for constructing conditionally valid prediction intervals based on models for conditional distributions such as quantile and distribution regression. Our approach can be applied to important prediction problems…

计量经济学 · 经济学 2022-01-26 Victor Chernozhukov , Kaspar Wüthrich , Yinchu Zhu

We propose an instrumental variable framework for identifying and estimating causal effects of discrete and continuous treatments with binary instruments. The basis of our approach is a local copula representation of the joint distribution…

计量经济学 · 经济学 2024-12-17 Victor Chernozhukov , Iván Fernández-Val , Sukjin Han , Kaspar Wüthrich