In motor car insurance, the risks of a portfolio usually are grouped according to the realizations of two (or more) risk characteristics and it is assumed that, for every group, the expected average claim amount can be represented as aproduct of parameters representing the realizations of the risk characteristics. This model leads, in a natural way, to the problem of marginal–sum estimationand hence to the problem of solving marginal–sum equations. Under the assumption that at least one observation is available in every group, we show that a solution of the marginal–sum equations exists, that it is radially unique, and that it can be obtained by iteration with an arbitrary initial value.
Dieser Datensatz wurde nicht während einer Tätigkeit an der Universität Mannheim veröffentlicht, dies ist eine Externe Publikation.
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