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On Risk Processes with Stochastic Intensity function

Jan Grandell

ASTIN Bulletin, 1971, vol. 6, issue 2, 116-128

Abstract: In this paper we are going to study some properties of a stochastic process, which has been proposed by Cramér (1968) as a model of the claims arising in an insurance company. This process has been studied by Cox in a different context. A few elementary results, concerning moments, are given by Cox and Lewis (1966). The present paper will be a survey of some results derived by the author (1970:1) and (1970:2). For detailed proofs we refer to these papers.Let λ(t) be a real-valued stochastic process, such that P{λ(t)

Date: 1971
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