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....

We consider cointegration tests in the situation where the cointegration rank is decient. This situation is of interest in nite sample analysis and in relation to recent work on identication robust cointegration inference. We derive asymptotic theory for tests for cointegration rank and for...

A vector autoregression with deterministic terms with no restrictions to its characteristic roots is considered. Strong consistency results and also some weak convergence results are given for a number of least squares statistics. These statistics are related to the denominator matrix of the...

A vector autoregression with deterministic terms and with no restrictions to its characteristic roots is considered. Strong consistency results for the least squares statistics are presented. This extends earlier results where deterministic terms have not been considered. In addition the...

This paper addresses the question of whether a conventional approach to cointegration is applicaple to the case where changes are allowed in the parameters for the short term dynamics. We reparametrise a vector autoregressive model such that the short-run parameters exhibiting changes at known...