Title
The compound Poisson risk model under a mixed dividend strategy.
Abstract
In this paper, we consider a compound Poisson model under a mixed dividend strategy. The mixed dividend strategy is a combination of threshold dividend strategy and periodic dividend strategy. Given a positive threshold level b>0, whenever the surplus process attains the level b, dividends will be paid off continuously at a rate >0. Furthermore, given a sequence of dividend decision times {Zj}j=1, whenever the observed surplus level at Zj is larger than b, the excess value will also be paid off as dividend. We study the expected discounted dividend payments before ruin and the GerberShiu expected discounted penalty function. Some numerical examples are also presented.
Year
DOI
Venue
2017
10.1016/j.amc.2017.07.048
Applied Mathematics and Computation
Keywords
Field
DocType
Compound Poisson model, Expected discounted dividends, Expected discounted penalty function, Mixed dividend strategy, Ruin
Econometrics,Mathematical optimization,Dividend payout ratio,Actuarial science,Dividend,Poisson regression,Poisson distribution,Periodic graph (geometry),Mathematics,Risk model,Penalty method
Journal
Volume
ISSN
Citations 
315
0096-3003
0
PageRank 
References 
Authors
0.34
6
2
Name
Order
Citations
PageRank
Zhimin Zhang15411.10
Xiao Han281675.26