Convergence of Insurance Payout Stochastic Processes to Generalized Poisson Process

Verfasser / Beitragende:
[A. Chuprunov, E. Permyakova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/1(2015-02-01), 55-67
Format:
Artikel (online)
ID: 605521697
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024 7 0 |a 10.1007/s10958-015-2229-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2229-4 
245 0 0 |a Convergence of Insurance Payout Stochastic Processes to Generalized Poisson Process  |h [Elektronische Daten]  |c [A. Chuprunov, E. Permyakova] 
520 3 |a We consider stochastic processes describing the size of a company's insurance payouts in the case of a growing number of clients. Convergence of such processes in Skorokhod space is proved. As a result, a functional limit theorem for risk processes is obtained, which allows us to use well-known formulas for estimating an insurance company's ruin probability in the considered case. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Chuprunov  |D A.  |u Kazan (Volga Region) Federal University, Kazan', Russia  |4 aut 
700 1 |a Permyakova  |D E.  |u Kazan (Volga Region) Federal University, Kazan', Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/1(2015-02-01), 55-67  |x 1072-3374  |q 205:1<55  |1 2015  |2 205  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2229-4  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2229-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chuprunov  |D A.  |u Kazan (Volga Region) Federal University, Kazan', Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Permyakova  |D E.  |u Kazan (Volga Region) Federal University, Kazan', Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/1(2015-02-01), 55-67  |x 1072-3374  |q 205:1<55  |1 2015  |2 205  |o 10958