on some bayesian statistical models in actuarial science with emphasis on claim count

Bayesian Modelling of Outstanding Liabilities Incorporating Claim Count Uncertainty Bayesian Modelling of Outstanding Liabilities Incorporating Claim Count Uncertainty

This paper deals with the prediction of the amount of outstanding claims that an insurance company will pay in the near future. We consider various competing models using Bayesian theory and Markov chain Monte Carlo methods. Claim counts are used in order to add a further hierarchical stage in the usual log-normaland state-space models. By this way, we incorporate information from both the outs...

On Some Actuarial Models Involving Sums of Dependent Risk

This paper presents some applications to the theoretical results obtained in [7], on the problem of approximating the tail probability of a randomly weighted sum of random variables. The results are supported by some simulation conclusions.

Lecture notes on: Actuarial Models

Learning Survival Models with On-Line Simulation Activities in the Actuarial Science Degree

The aim of this paper is to describe an on-line survival laboratory designed to enhance teaching and learning in the Statistics courses of the Actuarial Science Degree of the University of Málaga. The objective of the on-line survival lab is to help students through a guided program of simulation activities with the understanding of the most important statistical concepts of the stochastic mode...

State space models in actuarial science by Piet

The article discusses the usefulness of the state space model for analyzing insurance data. State space models can be viewed as as a framework to describe “smoothness” and purge data of “noise.” It is the smooth features in data which are critical for inference and extrapolation. We describe simple state models and apply them to two insurance data sets: one dealing with mortality, the other wit...

Some Observations on Continuüm Mechanics with Emphasis on Elasticity

1. Introductory remarks. Twenty years ago, I gave an invited address at a meeting of the Mathematical Society in New York. At that time also my subject was in the field of elasticity, and though I have worked perhaps more in other fields in the intervening years, I have never lost my interest in the subject and, particularly in the last few years, that interest has been strongly re-awakened. Co...