The Gerber-Shiu discounted penalty function for a compound binomial risk model with by-claims

2015 ◽  
Vol 31 (1) ◽  
pp. 181-190 ◽  
Author(s):  
Jin-zhu Li ◽  
Rong Wu
Keyword(s):  
Penalty Function ◽  
Risk Model ◽  
Compound Binomial ◽  
Discounted Penalty Function ◽  
Compound Binomial Risk Model

scholarly journals Probability of ruin in discrete insurance risk model with dependent Pareto claims

2019 ◽  
Vol 7 (1) ◽  
pp. 215-233
Author(s):  
Corina D. Constantinescu ◽  
Tomasz J. Kozubowski ◽  
Haoyu H. Qian
Keyword(s):  
Power Law ◽  
Pareto Distribution ◽  
Risk Model ◽  
Probability Distributions ◽  
Insurance Risk ◽  
Probability Of Ruin ◽  
New Class ◽  
Compound Binomial ◽  
Compound Binomial Risk Model ◽  
Positive Integers

AbstractWe present basic properties and discuss potential insurance applications of a new class of probability distributions on positive integers with power law tails. The distributions in this class are zero-inflated discrete counterparts of the Pareto distribution. In particular, we obtain the probability of ruin in the compound binomial risk model where the claims are zero-inflated discrete Pareto distributed and correlated by mixture.

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