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Allowance for Severity of Claims

1985
All bonus-malus systems in force throughout the world penalize the number of reported claims without taking the costs of such claims into account—a mere scratch causes the same premium increase as a serious bodily injury. Since we have shown that the variables “number” and “amount” of the claims are not independent, this procedure is unfair to town ...
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Bonus–Malus systems with Weibull distributed claim severities

Annals of Actuarial Science, 2014
AbstractOne of the pricing strategies for Bonus–Malus (BM) systems relies on the decomposition of the claims’ randomness into one part accounting for claims’ frequency and the other part for claims’ severity. By mixing an exponential with a Lévy distribution, we focus on modelling the claim severity component as a Weibull distribution.
Weihong Ni   +2 more
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Stochastic comparisons of the smallest and largest claim amounts with location-scale claim severities

Insurance: Mathematics and Economics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barmalzan, Ghobad   +2 more
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Allowance for the Severity of Claims

1995
With the exception of Korea, all bonus-malus systems in force throughout the world penalize the number of reported claims, without taking the costs of such claims into account. A mere scratch causes the same premium increase as a serious bodily injury accident. This procedure is unfair to town dwellers, among others, since traffic density creates more,
openaire   +1 more source

Variability of total claim amounts under dependence between claims severity and number of events

Insurance: Mathematics and Economics, 2006
Let \(\chi\subseteq\mathbb{R}^2\). For each \((\theta_0,\theta_1)\in\chi\), let \(N_i(\theta_0)\) be a nonnegative integer-valued random variable, and let \(\mathbf{X}_i(\theta_1)=\{X_{ik}(\theta_1),\;k\in\mathbb{N}\}\), be a sequence of nonnegative random variables, \(i=1,2,\ldots,n\). Assume that \(N_1(\theta_0),N_2(\theta_0),\ldots,N_n(\theta_0)\), \
Belzunce, Félix   +3 more
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A dependent frequency–severity approach to modeling longitudinal insurance claims

Insurance: Mathematics and Economics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Gee Y., Shi, Peng
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A finite-time ruin probability formula for continuous claim severities

Journal of Applied Probability, 2004
An explicit formula for the probability of nonruin of an insurance company in a finite time interval is derived, assuming Poisson claim arrivals, any continuous joint distribution of the claim amounts and any nonnegative, increasing real function representing its premium income.
Ignatov, Zvetan G., Kaishev, Vladimir K.
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Diffusion premiums for claim severities subject to inflation

Insurance: Mathematics and Economics, 1988
A diffusion model for the aggregate claims which takes into account inflation and interest is described. Analytical formulas are then derived from it for premiums under different premium principles (including stop- loss premiums).
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Relationship between severity, costs and claims of hospitalized patients using the Severity of Illness Index

European Journal of Epidemiology, 1994
The results of the prospective application of Horn's 'Severity of Illness Index' in a teaching hospital during 1987, 1989, and 1990 constitute the basis of the present report. The average overall severity of illness scores for the three years were 1.42 in 1987, 1.65 in 1989, and 1.46 in 1990.
M A, Asenjo   +6 more
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Variability of Total Claim Amounts under Dependence between Claims Severity and Number of Claims

2006
Dependencies among random numbers of summands in random sums or among summands have been widely studied in recent literature, and several applications have been developed in actuarial sciences and reliability, where dependencies among risks or lifetimes are quite usual incommonproblems.
F. BELZUNCE   +3 more
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