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Soft Computing

, Volume 22, Issue 12, pp 4123–4131 | Cite as

The mean chance of ultimate ruin time in random fuzzy insurance risk model

  • Sara Ghasemalipour
  • Behrouz Fathi-Vajargah
Methodologies and Application

Abstract

In this paper, we study a modified risk model in which both the claim amount and premium are assumed to be random fuzzy variables. In this risk model, some new theorems concerning the mean chance of ultimate ruin time are proved in two cases where the initial surplus is zero and nonzero. Finally, a numerical example is mentioned to illustrate the method.

Keywords

Risk model Renewal process Random fuzzy variable Mean chance of ruin 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Applied Mathematics, Faculty of Mathematical SciencesUniversity of GuilanRashtIran
  2. 2.Department of Statistics, Faculty of Mathematical SciencesUniversity of GuilanRashtIran

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