The Gerber-Shiu discounted penalty function: A review from practical perspectives

Y He, R Kawai, Y Shimizu, K Yamazaki - Insurance: Mathematics and …, 2023 - Elsevier
Abstract The Gerber-Shiu function provides a unified framework for the evaluation of a
variety of risk quantities. Ever since its establishment, it has attracted constantly increasing …

The classical risk model with a constant dividend barrier: analysis of the Gerber–Shiu discounted penalty function

XS Lin, GE Willmot, S Drekic - Insurance: Mathematics and Economics, 2003 - Elsevier
The classical compound Poisson risk model is considered in the presence of a constant
dividend barrier. An integro-differential equation for the Gerber–Shiu discounted penalty …

The time value of ruin in a Sparre Andersen model

HU Gerber, ESW Shiu - North American Actuarial Journal, 2005 - Taylor & Francis
This paper considers a Sparre Andersen collective risk model in which the distribution of the
interclaim time is that of a sum of n independent exponential random variables; thus, the …

The compound Poisson risk model with a threshold dividend strategy

XS Lin, KP Pavlova - Insurance: mathematics and Economics, 2006 - Elsevier
In this paper, we present the classical compound Poisson risk model with a threshold
dividend strategy. Under such as strategy, no dividends are paid if the insurer's surplus is …

On a class of renewal risk models with a constant dividend barrier

S Li, J Garrido - Insurance: Mathematics and Economics, 2004 - Elsevier
We consider a compound renewal (Sparre Andersen) risk process in the presence of a
constant dividend barrier in which the claim waiting times are generalized Erlang (n) …

The discrete stationary renewal risk model and the Gerber–Shiu discounted penalty function

KP Pavlova, GE Willmot - Insurance: Mathematics and Economics, 2004 - Elsevier
This paper considers the stationary and the ordinary discrete renewal risk models. The main
result is an expression of the Gerber–Shiu discounted penalty function in the stationary …

[图书][B] Surplus analysis of Sparre Andersen insurance risk processes

GE Willmot, JK Woo - 2017 - Springer
This monograph is a summary of our view of the current state of the art with respect to the
analysis of surplus and ruin-theoretic analysis for the class of Sparre Andersen (renewal) …

Asymptotics in a time-dependent renewal risk model with stochastic return

J Li - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
In this paper we study the asymptotic tail behavior for a non-standard renewal risk model
with a dependence structure and stochastic return. An insurance company is allowed to …

The expected discounted penalty at ruin for a Markov-modulated risk process perturbed by diffusion

Y Lu, CCL Tsai - North American Actuarial Journal, 2007 - Taylor & Francis
A Markov-modulated risk process perturbed by diffusion is considered in this paper. In the
model the frequencies and distributions of the claims and the variances of the Wiener …

[图书][B] A study of holistic thinking in an agricultural leadership development program using asynchronous computer conferencing.

D Morrison - 2005 - library-archives.canada.ca
The primary goal of this qualitative case study was to investigate the nature of holistic
thinking in the context of an asynchronous computer conference. Holistic thinking was …