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20152021
most citedRuin probabilities with investments: smoothness, IDE and ODE, asymptotic behavior

4 citations · 4 across the 5 of their papers we have counts for

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5 papers

math.PR2021

On ruin probabilities with investments in a risky asset with a switching regime price

Yuri Kabanov, Serguei Pergamenshchikov

We investigate the asymptotic of ruin probabilities when the company invests its reserve in a risky asset with a switching regime price. We assume that the asset price is a conditi…

math.PR2020

Ruin Probabilities for a Sparre Andersen Model with Investments

Ernst Eberlain, Yuri Kabanov, Thorsten Schmidt

We study a Sparre Andersen model in which the business activity of the company is described by a compound renewal process with drift assuming that the capital reserves are invested…

math.PR2020

On ruin probabilities with risky investments

Anastasiya Ellanskaya, Yuri Kabanov

We investigate the asymptotic of ruin probabilities when the company combines the life- and non-life insurance businesses and invests its reserve into a risky asset with stochastic…

math.PR20204 cited

Ruin probabilities with investments: smoothness, IDE and ODE, asymptotic behavior

Yuri Kabanov, Nikita Pukhlyakov

The study deals with the ruin problem when an insurance company having two business branches, life insurance and non-life insurance, invests its reserve into a risky asset with the…

math.PR2015

In the Life Insurance Business Risky Investments are Dangerous

Yuri Kabanov, Serguei Pergamenshchikov

We investigate models of the life annuity insurance when the company invests its reserve into a risky asset with price following a geometric Brownian motion. Our main result is an…