volume 2, issue 3, P703-726 1996
DOI: 10.1017/s1357321700003524
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A.S. Macdonald

Abstract: Counting processes and their compensators are introduced at a heuristic level. The martingale property of stochastic integrals with respect to a compensated counting process leads to moment estimates and asymptotic normal distributions for statistics arising in multiple state, non-parametric and semi-parametric models. The place of survival models in actuarial education is discussed.