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Ruin probabilities in an erlang risk model with dependence structure based on an independent gamma-distributed time window

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001  MAP20260002965
003  MAP
005  20260211184637.0
008  260206e20250811che|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
1001 ‎$0‎MAPA20200018810‎$a‎Zhu, Wei
24510‎$a‎Ruin probabilities in an erlang risk model with dependence structure based on an independent gamma-distributed time window‎$c‎Wei Zhu
520  ‎$a‎The document presents an Erlang-type actuarial risk model in which both the premium rate and the claim size distribution depend on a gamma-distributed random time window. It derives the fractional equations governing ruin probabilities and provides explicit solutions for certain classes of distributions, illustrated with numerical examples. The study proposes a more flexible and realistic approach to capturing the relationship between claim frequency and severity, offering analytical tools that enhance risk theory and actuarial management
650 4‎$0‎MAPA20080582951‎$a‎Teoría del riesgo
650 4‎$0‎MAPA20080603069‎$a‎Probabilidad de ruina
650 4‎$0‎MAPA20080592011‎$a‎Modelos actuariales
650 4‎$0‎MAPA20080557799‎$a‎Dependencia
650 4‎$0‎MAPA20080613877‎$a‎Ecuaciones diferenciales
650 4‎$0‎MAPA20080563448‎$a‎Modelización
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
7102 ‎$0‎MAPA20200009078‎$a‎Springer Nature
7730 ‎$w‎MAP20220007085‎$g‎11/08/2025 Volume 15 - Number 2 - August 2025 , p. 921 - 947‎$t‎European Actuarial Journal‎$d‎Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022