AUTHORS: S. Somprom, W. Klongdee
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ABSTRACT: In this paper, we present the process of the measuring durability of insurance company, in which, this study focus on the discrete-time under the limited time the company must reserve sufficient initial capital to ensure that probability of ruin does not exceed the given quantity of risk. Therefore the illustration of the minimum initial capital under the specified period for the claim size process to the exponential distribution and the weibull distribution has explained
KEYWORDS: Surplus process, Measuring Durability, Minimum Initial Capital, Probability of Ruin.
REFERENCES:
[1] D. C. M. Dickson, Insurance Risk and Ruin,
New York: Cambridge University Press,2005.
[2] J. Grandell, Aspects of Risk Theory, New York:
Springer-Verlag, 1990.
[3] S. Li, On a class of discrete Time Renewal Risk
Models, Scandinavian Actuarial Journal, vol.4,
2005a, pp.271-284.
[4] S. Li, Distributions of the Surplus before Ruin,
the Deficit at Ruin and the claim Causing Ruin
in a class of Discrete Time Risk, Scandinavian
Actuarial Journal, vol.2 , 2005b, pp. 271-284.
[5] W.S. Chan and L. Zhang, Direct derivation of
finite-time ruin probabilities in the discrete risk
model with exponential or geometric claims ,
North American Actuarial Journal, vol.10, no.4,
2006, pp. 269-278.
[6] P. Sattayatham, K. Sangaroon and W. Klongdee,
Ruin Probability Base Initial Capital of the discrete Time Surplus Process, Variance 3, vol.7,
no.1, 2013, pp. 74-81.
[7] K.P. Pavlova and G.E. Willmot, The Discrete Stationnary Renewal Risk Model and the
Gerber-Shiu Discounted Penalty Function, Insurance: Mathematics and Economics, vol.35,
no.2, 2004, pp. 267-277.
[8] W. Klongdee and S. Khotama, Minimizing the
Initial Capital for the Discrete-time Surplus Process with Investment Control under α− regulation (Published Conference Proceedings style),
in the International MultiConference of Engineers and Computer Scientists 2018, Hong
Kong, 2018, pp. 299-301.
WSEAS Transactions on Business and Economics, ISSN / E-ISSN: 1109-9526 / 2224-2899, Volume 16, 2019, Art. #36, pp. 322-327
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