## Risk Process with Uncertain Claims Amount

### Stanisław Heilpern

#### Abstract

The contribution is devoted to the risk process in which the claims amount are uncertain. The uncertainty is modeled using the randomness and fuzzines simultaneously and the claim amount are treated as the fuzzy random variable. The definition of the fuzzy random variables proposed by Kwakernaak (1978, 1979) is used in this contribution. The problem connected with the ruin of such process is investigated and some numerical examples are presented. The situation when the initial capital is equal zero is studied and the fuzzy ruin and the mean value of it are computed for the fuzzy exponential random variables. The spread of fuzzy ruin, the measure of uncertainty, is investigated.Author | |||||

Pages | 144-153 | ||||

Publication size in sheets | 0.5 | ||||

Book | Hronova Stanislava, Ptackova Veronika, Safr Karel, Vltavska Kristyna (eds.): Applications of Mathematics and Statistics in Economics 2018, Conference Proceedings. Full text papers, 2018, University of Economics, Prague, Oeconomica Publishing House, ISBN 9788024522777, 360 p. | ||||

Keywords in English | risk process, probability of ruin, fuzzy numbers, fuzzy random variables, uncertainty | ||||

URL | http://www.amse-conference.eu/old/2018/?page_id=1314 | ||||

Language | en angielski | ||||

File |
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Score (nominal) | 15 | ||||

Score source | conferenceIndex | ||||

Citation count* |

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.

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