Alternative modelling and inference methods for claim size distributions
نویسندگان
چکیده
منابع مشابه
On Ruin Probability and Aggregate Claim Representations for Pareto Claim Size Distributions
We generalize an integral representation for the ruin probability in a Crámer-Lundberg risk model with shifted (or also called US-)Pareto claim sizes, obtained by Ramsay [14], to classical Pareto(a) claim size distributions with arbitrary real values a > 1 and derive its asymptotic expansion. Furthermore an integral representation for the tail of compound sums of Pareto-distributed claims is ob...
متن کاملSpatial modelling of claim frequency and claim size in non-life insurance
In this paper models for claim frequency and average claim size in non-life insurance are considered. Both covariates and spatial random effects are included allowing the modelling of a spatial dependency pattern. We assume a Poisson model for the number of claims, while claim size is modelled using a Gamma distribution. However, in contrast to the usual compound Poisson model, we allow for dep...
متن کاملInference for constrained estimation of tumor size distributions.
SUMMARY In order to develop better treatment and screening programs for cancer prevention programs, it is important to be able to understand the natural history of the disease and what factors affect its progression. We focus on a particular framework first outlined by Kimmel and Flehinger (1991, Biometrics, 47, 987-1004) and in particular one of their limiting scenarios for analysis. Using an ...
متن کاملAlternative Probabilistic Exponential Distributions For Modelling Rainfall Intensity In Australia
Most runoff and soil erosion models take into account rainfall intensity, since higher storm intensities lead to greater runoff and losses of soil due to erosion. Accurate prediction of soil erosion requires rainfall intensity data with a high temporal resolution. This places a restriction on the simulation of soil erosion, since high temporal resolution data are usually not available. One way ...
متن کاملBayesian Modelling and Inference on Mixtures of Distributions
Today’s data analysts and modellers are in the luxurious position of being able to more closely describe, estimate, predict and infer about complex systems of interest, thanks to ever more powerful computational methods but also wider ranges of modelling distributions. Mixture models constitute a fascinating illustration of these aspects: while within a parametric family, they offer malleable a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Actuarial Science
سال: 2019
ISSN: 1748-4995,1748-5002
DOI: 10.1017/s1748499519000010