Copulae: An overview and recent developments

J Größer, O Okhrin - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
Over the decades that have passed since they were introduced, copulae still remain a very
powerful tool for modeling and estimating multivariate distributions. This work gives an …

[图书][B] Statistics of extremes: theory and applications

J Beirlant, Y Goegebeur, J Segers, JL Teugels - 2006 - books.google.com
Research in the statistical analysis of extreme values has flourished over the past decade:
new probability models, inference and data analysis techniques have been introduced; and …

[图书][B] Laws of small numbers: extremes and rare events

M Falk, J Hüsler, RD Reiss - 2010 - books.google.com
Since the publication of the first edition of this seminar book in 1994, the theory and
applications of extremes and rare events have enjoyed an enormous and still increasing …

Extreme-value copulas

G Gudendorf, J Segers - Copula Theory and Its Applications: Proceedings …, 2010 - Springer
Being the limits of copulas of componentwise maxima in independent random samples,
extreme-value copulas can be considered to provide appropriate models for the …

Rank-based inference for bivariate extreme-value copulas

C Genest, J Segers - 2009 - projecteuclid.org
Consider a continuous random pair (X, Y) whose dependence is characterized by an
extreme-value copula with Pickands dependence function A. When the marginal …

A goodness-of-fit test for bivariate extreme-value copulas

C Genest, I Kojadinovic, J Nešlehová, J Yan - 2011 - projecteuclid.org
It is often reasonable to assume that the dependence structure of a bivariate continuous
distribution belongs to the class of extreme-value copulas. The latter are characterized by …

New estimators of the Pickands dependence function and a test for extreme-value dependence

A Bücher, H Dette, S Volgushev - 2011 - projecteuclid.org
We propose a new class of estimators for Pickands dependence function which is based on
the concept of minimum distance estimation. An explicit integral representation of the …

[图书][B] Financial engineering with copulas explained

JF Mai, M Scherer - 2014 - Springer
This is a succinct guide to the application and modelling of dependence models or copulas
in the financial markets. First applied to credit risk modelling, copulas are now widely used …

Non-parametric estimators of multivariate extreme dependence functions

B Abdous, K Ghoudi - Nonparametric Statistics, 2005 - Taylor & Francis
This article reviews various characterizations of a multivariate extreme dependence function
A (·). The most important estimators derived from these characterizations are also sketched …

Nonparametric estimation of multivariate extreme-value copulas

G Gudendorf, J Segers - Journal of Statistical Planning and Inference, 2012 - Elsevier
Extreme-value copulas arise in the asymptotic theory for componentwise maxima of
independent random samples. An extreme-value copula is determined by its Pickands …