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...

Many real life regression problems exhibit some kind of calender time dependency and it is often of interest to predict the behavior of the regression function along this calender time direction. This can be formulated as a regression model with an added latent time series and the task is to be...

The classical Chow (1960) test for structural instability requires strictly exogenous regressors and a break-point specied in advance. In this paper we consider two generalisations, the 1-step recursive Chow test (based on the sequence of studentized recursive residuals) and its supremum...

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...

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...

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...

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...

In this paper we present a general result concerning the convergence to stochastic integrals with non-linear integrands. The key finding represents a generalization of Chan and Wei's (1988) Theorem 2.4 and that of Ibragimov and Phillips' (2004) Theorem 8.2. This result is necessary for analysing...