Ruin Probabilities in a Discrete Semi-Markov Risk Model with Random Dividends to Shareholders and Policyholders

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 24, Issue 2

Abstract

The discrete semi-Markov risk model is modified by the inclusion of dividends paying to shareholders and policyholders. When surplus is no less than the thresholds a1 and a2, the company randomly pays dividends to shareholders and policyholders with probabilities q1,q2 respectively. Recursive formulae for ruin probabilities are derived. Finally, a numerical example is given to illustrate the effect of the related parameters on the ruin probabilities.

Authors and Affiliations

Cui Wang

Keywords

Related Articles

The Impulse Interactive Cuts of Entropy Functional Measure on Trajectories of Markov Diffusion Process, Integrating in Information Path Functional, Encoding and Applications

The introduced entropy integral measure on random trajectories (EF) is defined by the process additive functional with functions drift and diffusion reducing this functional on trajectories to a regular integral function...

Novel Technique for Utilizing Analogue Video Signal for IRFPA Raw Data Transfer for Calibration Purposes

Infrared focal plane array (IRFPA) is a bi-dimensional array of micro scaled infrared detectors which become essential sensing devices in a wide range of applications. Due to the need for mobility and power saving, new u...

Structure of Some Pregroups and Length Functions

The concept of Pregroups was introduced by Stallings in 1971. Subsequently the concept of Pregroups was developed by many other researchers. Stallings originally defined a set with a binary operation satisfying five axi...

On Properties Related To *–Reversible Rings

In this paper, a class of *-rings which is a generalization of *–reversible rings is introduced. A ring with involution * is called central *–reversible if for a ,b∈R, whenever ab=0 ,b^* a is central in R. Since every *–...

Solving the System of Two Nonlinear Voltera Intehral Equations of the Second Kind Using the Trapezoidal Predictor – Corrector Method

In this paper, we consider the system of two nonlinear Volterra integral equations of the second kind (SNLVIE-2). We proposed method of Trapezoidal Predictor-Corrector (TRP-PCR) to solve SNLVIE-2. In addition, new algori...

Download PDF file
  • EP ID EP322032
  • DOI 10.9734/JAMCS/2017/36012
  • Views 81
  • Downloads 0

How To Cite

Cui Wang (2017). Ruin Probabilities in a Discrete Semi-Markov Risk Model with Random Dividends to Shareholders and Policyholders. Journal of Advances in Mathematics and Computer Science, 24(2), 1-9. https://europub.co.uk/articles/-A-322032