Reserving in general insurance is often done using chain-ladder-type methods.  We propose a method aimed at situations where there is a sudden change in the economic environment affecting the policies for all accident years in the reserving triangle.  It is shown that methods for forecasting...

It has long been known that maximum likelihood estimation in a Poisson model reproduces the chain-ladder technique. We revisit this model. A new canonical parametrisation is proposed to circumvent the inherent identification problem in the parametrisation. The maximum likelihood estimators for...

The log normal reserving model is considered. The contribution of the paper is to derive explicit expressions for the maximum likelihood estimators. These are expressed in terms of development factors which are geometric averages. The distribution of the estimators is derived. It is shown that...

It is of considerable interest to forecast future mesothelioma mortality. No measures for exposure are available so it is not straight forward to apply a doseresponse model. It is proposed to model the counts of deaths directly using a Poisson regression with an age-period-cohort structure, but...

The Forward Search is an iterative algorithm concerned with detection of outliers and other unsuspected structures in data. This approach has been suggested, analysed and applied for regression models in the monograph Atkinson and Riani (2000). An asymptotic analysis of the Forward Search is...

We review recent asymptotic results on some robust methods for multiple regres- sion. The regressors include stationary and non-stationary time series as well as polynomial terms. The methods include the Huber-skip M-estimator, 1-step Huber-skip M-estimators, in particular the Impulse Indicator...

Age-period-cohort models for Lexis diagrams are considered. The identi- cation problem is addressed by reparametrizing the models in terms of freely varying parameters. The reparametrisation covers all three Lexis diagrams. A new plot of the unidentied time eects is suggested and interpreted....

The apc package includes functions for age-period-cohort analysis based on the canonical parametrisation of Kuang et al. (2008). The package includes functions for organizing the data, descriptive plots, a deviance table, estimation of (sub-models of) the age-period-cohort model, a plot for...