A common approach to the claims reserving problem is based on generalized linear models (GLM), where the claims in different origin and development years are assumed to be independent variables. If this is violated, the classical techniques may provide incorrect predictions of the claims...

One of the main goals in non-life insurance is to estimate the claims reserve distribution. A generalized time series model, that allows for modeling the conditional mean and variance of the claim amounts, is proposed for the claims development. On contrary to the classical stochastic reserving...