THE FORCE OF RUIN

Şule Şahin; Başak Bulut Karageyik

THE FORCE OF RUIN

Abstract

This paper introduces a hazard rate function for the time of ruin to calculate the conditional probability of ruin for very small time intervals. We call this function as the force of ruin (FoR). We obtain the expected time of ruin and conditional expected time of ruin from the exact finite time ruin probability with exponential claim amounts. Then, we introduce the FoR which gives the conditional probability of ruin and the condition is that ruin has not occurred at time t. We analyse the behaviour of the FoR function for different initial surpluses over a specific time interval. We also obtain FoR under the excess of loss reinsurance arrangement and examine the effect of reinsurance on the FoR.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Şule Şahin This is me
0000-0003-4080-9165
Türkiye

Başak Bulut Karageyik This is me
0000-0002-8998-109X
United Kingdom

Publication Date

June 1, 2018

Submission Date

May 12, 2017

Acceptance Date

January 9, 2018

Published in Issue

Year 2018 Volume: 36 Number: 2

IZ

https://izlik.org/JA83FJ42UJ

Cite

RIS / Bibtex

APA

Şahin, Ş., & Bulut Karageyik, B. (2018). THE FORCE OF RUIN. Sigma Journal of Engineering and Natural Sciences, 36(2), 563-575. https://izlik.org/JA83FJ42UJ

AMA

1.Şahin Ş, Bulut Karageyik B. THE FORCE OF RUIN. SIGMA. 2018;36(2):563-575. https://izlik.org/JA83FJ42UJ

Chicago

Şahin, Şule, and Başak Bulut Karageyik. 2018. “THE FORCE OF RUIN”. Sigma Journal of Engineering and Natural Sciences 36 (2): 563-75. https://izlik.org/JA83FJ42UJ.

EndNote

Şahin Ş, Bulut Karageyik B (June 1, 2018) THE FORCE OF RUIN. Sigma Journal of Engineering and Natural Sciences 36 2 563–575.

IEEE

[1]Ş. Şahin and B. Bulut Karageyik, “THE FORCE OF RUIN”, SIGMA, vol. 36, no. 2, pp. 563–575, June 2018, [Online]. Available: https://izlik.org/JA83FJ42UJ

ISNAD

Şahin, Şule - Bulut Karageyik, Başak. “THE FORCE OF RUIN”. Sigma Journal of Engineering and Natural Sciences 36/2 (June 1, 2018): 563-575. https://izlik.org/JA83FJ42UJ.

JAMA

1.Şahin Ş, Bulut Karageyik B. THE FORCE OF RUIN. SIGMA. 2018;36:563–575.

MLA

Şahin, Şule, and Başak Bulut Karageyik. “THE FORCE OF RUIN”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 2, June 2018, pp. 563-75, https://izlik.org/JA83FJ42UJ.

Vancouver

1.Şule Şahin, Başak Bulut Karageyik. THE FORCE OF RUIN. SIGMA [Internet]. 2018 Jun. 1;36(2):563-75. Available from: https://izlik.org/JA83FJ42UJ