A review of predictive uncertainty estimation with machine learning

H Tyralis, G Papacharalampous - Artificial Intelligence Review, 2024 - Springer
Predictions and forecasts of machine learning models should take the form of probability
distributions, aiming to increase the quantity of information communicated to end users …

Analyzing dependent data with vine copulas

C Czado - Lecture Notes in Statistics, Springer, 2019 - Springer
This book is written for graduate students and researchers, who are interested in using
copula-based models for multivariate data structures. It provides a step-by-step introduction …

A review of probabilistic forecasting and prediction with machine learning

H Tyralis, G Papacharalampous - arXiv preprint arXiv:2209.08307, 2022 - arxiv.org
Predictions and forecasts of machine learning models should take the form of probability
distributions, aiming to increase the quantity of information communicated to end users …

[HTML][HTML] Fast procedure to compute empirical and Bernstein copulas

VM Hernández-Maldonado, A Erdely… - Applied Mathematics …, 2024 - Elsevier
In this work, a novel technique for efficient computation of bivariate empirical copulas and,
by extension, non-parametrical copulas. The algorithm addresses discrete and finite …

Copula-based regression models with data missing at random

S Hamori, K Motegi, Z Zhang - Journal of Multivariate Analysis, 2020 - Elsevier
The existing literature of copula-based regression assumes that complete data are
available, but this assumption is violated in many real applications. The present paper …

Single-index composite quantile regression for massive data

R Jiang, K Yu - Journal of Multivariate Analysis, 2020 - Elsevier
Composite quantile regression (CQR) is becoming increasingly popular due to its
robustness from quantile regression. Recently, the CQR method has been studied …

[HTML][HTML] Semi-parametric copula-based models under non-stationarity

BR Nasri, BN Rémillard, T Bouezmarni - Journal of Multivariate Analysis, 2019 - Elsevier
In this paper, we consider non-stationary random vectors, where the marginal distributions
and the associated copula may be time-dependent. We propose estimators for the unknown …

Coupled Monte Carlo simulation and Copula theory for uncertainty analysis of multiphase flow simulation models

X Jiang, J Na, W Lu, Y Zhang - Environmental Science and Pollution …, 2017 - Springer
Simulation-optimization techniques are effective in identifying an optimal remediation
strategy. Simulation models with uncertainty, primarily in the form of parameter uncertainty …

Copula-based link functions in binary regression models

M Mesfioui, T Bouezmarni, M Belalia - Statistical Papers, 2023 - Springer
The paper proposes a new class of link functions for generalized binary regression based
on copula models. The idea consists of writing the predictive probability of success (PPOS) …

Solving estimating equations with copulas

T Nagler, T Vatter - Journal of the American Statistical Association, 2024 - Taylor & Francis
Thanks to their ability to capture complex dependence structures, copulas are frequently
used to glue random variables into a joint model with arbitrary marginal distributions. More …