Distributional equations and the ruin problem for the Sparre Andersen model with investments

Fuente: arXiv
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Autori principali: Kabanov, Yuri, Legenkiy, Danil, Promyslov, Platon
Natura: Preprint
Pubblicazione: 2025
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_version_ 1866908943089926144
author Kabanov, Yuri
Legenkiy, Danil
Promyslov, Platon
author_facet Kabanov, Yuri
Legenkiy, Danil
Promyslov, Platon
contents This note is an addendum to the work initiated by Eberlein, Kabanov, and Schmidt and developed further by Kabanov and Promyslov on the asymptotics of the ruin probabilities in the Sparre Andersen model with investments in a risky asset. Using more advanced methods of the implicit renewal theory, we provide complements to some results of the mentioned works.
format Preprint
id arxiv_https___arxiv_org_abs_2504_00251
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distributional equations and the ruin problem for the Sparre Andersen model with investments
Kabanov, Yuri
Legenkiy, Danil
Promyslov, Platon
Probability
60G44
This note is an addendum to the work initiated by Eberlein, Kabanov, and Schmidt and developed further by Kabanov and Promyslov on the asymptotics of the ruin probabilities in the Sparre Andersen model with investments in a risky asset. Using more advanced methods of the implicit renewal theory, we provide complements to some results of the mentioned works.
title Distributional equations and the ruin problem for the Sparre Andersen model with investments
topic Probability
60G44
url https://arxiv.org/abs/2504.00251