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Another approach to the problem of
the ruin probability estimate for risk
process with investments
Maryna Androshchuk, Yuliya Mishura Department of Probability Theory and Mathematical Statistics,
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Аннотация:
An exponential estimate of ruin probability for an insurance company which invests all its capital in risk assets is found. The process
which describes the risky assets is assumed to follow a geometrical
Brownian motion. Insurance premium flow depends on the value of
reserves of the insurance company. The problem is solved by reduction of the generalized risk process to the classical risk process
without investments.
Ключевые слова:
Ruin process, ruin probability, geometrical Brownian motion, supermartingale approach.
Образец цитирования:
Maryna Androshchuk, Yuliya Mishura, “Another approach to the problem of
the ruin probability estimate for risk
process with investments”, Theory Stoch. Process., 13(29):4 (2007), 1–18
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/thsp232 https://www.mathnet.ru/rus/thsp/v13/i4/p1
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Страница аннотации: | 57 | PDF полного текста: | 44 | Список литературы: | 13 |
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