Threshold detection for the generalized Pareto distribution: Review of representative methods and application to the NOAA NCDC daily rainfall database

A Langousis, A Mamalakis, M Puliga… - Water Resources …, 2016 - Wiley Online Library
In extreme excess modeling, one fits a generalized Pareto (GP) distribution to rainfall
excesses above a properly selected threshold u. The latter is generally determined using …

A modeler's guide to extreme value software

LR Belzile, C Dutang, PJ Northrop, T Opitz - Extremes, 2023 - Springer
This review paper surveys recent development in software implementations for extreme
value analyses since the publication of Stephenson and Gilleland (Extremes 8: 87–109,) …

Effective statistical learning methods for actuaries

M Denuit, J Trufin - 2019 - Springer
The present material is written for students enrolled in actuarial master programs and
practicing actuaries, who would like to gain a better understanding of insurance data …

After VaR: the theory, estimation, and insurance applications of quantile‐based risk measures

K Dowd, D Blake - Journal of Risk and Insurance, 2006 - Wiley Online Library
We discuss a number of quantile‐based risk measures (QBRMs) that have recently been
developed in the financial risk and actuarial/insurance literatures. The measures considered …

Modeling claims data with composite Stoppa models

E Calderín-Ojeda, CF Kwok - Scandinavian Actuarial Journal, 2016 - Taylor & Francis
In this paper, a new class of composite model is proposed for modeling actuarial claims data
of mixed sizes. The model is developed using the Stoppa distribution and a mode-matching …

Composite Lognormal–Pareto model with random threshold

M Pigeon, M Denuit - Scandinavian Actuarial Journal, 2011 - Taylor & Francis
This paper further considers the composite Lognormal–Pareto model proposed by Cooray &
Ananda (2005) and suitably modified by Scollnik (2007). This model is based on a …

Non-life rate-making with Bayesian GAMs

M Denuit, S Lang - Insurance: Mathematics and Economics, 2004 - Elsevier
This paper aims to propose modern rate-making techniques based on Generalized Additive
Models (GAMs) and extensions. The method accounts for discrete, continuous, categorical …

Nonlife ratemaking and risk management with Bayesian generalized additive models for location, scale, and shape

N Klein, M Denuit, S Lang, T Kneib - Insurance: Mathematics and …, 2014 - Elsevier
Generalized additive models for location, scale and, shape define a flexible, semi-
parametric class of regression models for analyzing insurance data in which the exponential …

A form of multivariate Pareto distribution with applications to financial risk measurement

J Su, E Furman - ASTIN Bulletin: The Journal of the IAA, 2017 - cambridge.org
A new multivariate distribution possessing arbitrarily parametrized and positively dependent
univariate Pareto margins is introduced. Unlike the probability law of Asimit et al.(2010), the …

Multivariate Pareto portfolios: TCE-based capital allocation and divided differences

A Chiragiev, Z Landsman - Scandinavian Actuarial Journal, 2007 - Taylor & Francis
Determination of risk capital is a subject of active interest to researchers, regulators of
financial institutions, and commercial vendors of financial products and services. Recently …