Conditional Normal Extreme-Value Copulas

06/21/2020
by   Pavel Krupskii, et al.
0

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 modeled using one unobserved factor. Conditional on this factor, the distribution of these variables is given by the Gaussian copula. This structure allows one to build flexible and parsimonious models for data with complex dependence structures, such as data with spatial or temporal dependence. We study the extreme-value limits of these models and show some interesting special cases of the proposed class of copulas. We develop estimation methods for the proposed models and conduct a simulation study to assess the performance of these algorithms. Finally, we apply these copula models to analyze data on monthly wind maxima and stock return minima.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/14/2021

Modeling Spatial Data with Cauchy Convolution Processes

We study the class of models for spatial data obtained from Cauchy convo...
research
06/15/2020

Estimating Concurrent Climate Extremes: A Conditional Approach

Simultaneous concurrence of extreme values across multiple climate varia...
research
05/08/2018

Extremal properties of the extended skew-normal distribution

The skew-normal and related families are flexible and asymmetric paramet...
research
06/12/2020

On weak conditional convergence of bivariate Archimedean and Extreme Value copulas, and consequences to nonparametric estimation

Looking at bivariate copulas from the perspective of conditional distrib...
research
07/05/2021

On the Estimation of Bivariate Return Curves for Extreme Values

In the multivariate setting, defining extremal risk measures is importan...
research
07/30/2019

Using extreme value theory for the estimation of risk metrics for capacity adequacy assessment

This paper investigates the use of extreme value theory for modelling th...

Please sign up or login with your details

Forgot password? Click here to reset