Results 11 to 20 of about 16,779 (261)

Finite time ruin probabilities with one Laplace inversion [PDF]

open access: yesInsurance: Mathematics and Economics, 2003
In this work we present an explicit formula for the Laplace transform in time of the finite time ruin probabilities of a classical Levy model with phase-type claims.
Avram, Florin   +1 more
core   +5 more sources

Finite-time ruin probability for correlated Brownian motions [PDF]

open access: greenScandinavian Actuarial Journal, 2021
Let $(W_1(s), W_2(t)), s,t\ge 0$ be a bivariate Brownian motion with standard Brownian motion marginals and constant correlation $ \in (-1,1)$ and define the joint survival probability of both supremum functionals $ _ (c_1,c_2; u, v)$ by $$ _ (c_1,c_2; u, v)=\mathbb{P}\left(\sup_{s \in [0,1]} \left(W_1(s)-c_1s\right)>u,\sup_{t \in [0,1]} \left ...
Krzysztof Dȩbicki   +2 more
openalex   +4 more sources

Approximating the Finite-Time Ruin Probability under Interest Force [PDF]

open access: yesInsurance: Mathematics and Economics, 2001
We present an algorithm to determine both a lower and an upper bound for the finite-time probability of ruin for a risk process with constant interest force. We split the time horizon into smaller intervals of equal length and consider the probability of
Brekelmans, R.C.M.   +1 more
core   +8 more sources

Ruin Probabilities in Finite Time

open access: diamondJournal of Mathematical Finance, 2023
Andrew Leung
openalex   +3 more sources

Finite Time Ruin Probabilities for Tempered Stable Insurance Risk Processes [PDF]

open access: greenInsurance: Mathematics and Economics, 2013
22 pages, 4 ...
Philip S. Griffin   +2 more
  +8 more sources

Ruin Probability During A Finite Time Interval [PDF]

open access: bronzeASTIN Bulletin, 1975
This paper was inspired by comments by H. L. Seal in a series of lectures given to the Actuaries Club in New York and by a paper of his recently published in the Swiss Actuarial Journal (Seal, 1972 [6]). In his lectures he showed that the probability U(w, t) that a risk reserve at every epoch τ, where o < τ ≤ t will be non negative when the initial ...
R. E. Beard
openalex   +2 more sources

An Asymptotic Expression for the Probability of Ruin within Finite Time [PDF]

open access: bronzeThe Annals of Probability, 1990
We consider quantities such as the probability that a two-dimensional random walk crosses the ordinate $y$ for the first time to the left of the abscissa $x$, and describe the asymptotic behaviour as $x$ and $y$ tend to $\infty$. The result is applied to the risk reserve process of insurance mathematics as well as to one-dimensional random walks.
Thomas Höglund
openalex   +3 more sources

Finite-time ruin probability of aggregate Gaussian processes [PDF]

open access: green, 2014
11 ...
Krzysztof Dȩbicki   +3 more
openalex   +4 more sources

Bayesian Dividend Optimization and Finite Time Ruin Probabilities [PDF]

open access: greenStochastic Models, 2016
We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant and observable volatility and constant but unknown drift parameter.
Gunther Leobacher   +2 more
openalex   +4 more sources

Discrete-Time Risk Models with Claim Correlated Premiums in a Markovian Environment

open access: yesRisks, 2021
In this paper we consider a discrete-time risk model, which allows the premium to be adjusted according to claims experience. This model is inspired by the well-known bonus-malus system in the non-life insurance industry.
Dhiti Osatakul, Xueyuan Wu
doaj   +1 more source

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