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Economics - Research Publications
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ItemThe maximum surplus before ruin in an Erlang(n) risk process and related problemsLI, S ; DICKSON, D ( 2006)
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ItemThe joint distribution of the surplus prior to ruin and the deficit at ruin in some Sparre Andersen modelsDICKSON, DCM ; DREKIC, S ( 2004)
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ItemThe Distribution of the time to Ruin in the Classical Risk ModelDickson, DCM ; Waters, HR (Cambridge University Press (CUP), 2002-01-01)Abstract We study the distribution of the time to ruin in the classical risk model. We consider some methods of calculating this distribution, in particular by using algorithms to calculate finite time ruin probabilities. We also discuss calculation of the moments of this distribution.
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ItemUpper bounds for ultimate ruin probabilities in the Sparre Andersen model with interestCAI, J ; DICKSON, DCM ( 2003)
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ItemModern landmarks in actuarial scienceDICKSON, DCM (The Institute of Actuaries of Australia, 2001)
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ItemOn the time to ruin for Erlang(2) risk processesDickson, DCM ; Hipp, C (ELSEVIER SCIENCE BV, 2001-12-20)
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ItemOn the distribution of the deficit at ruin when claims are phase-typeDrekic, S ; DICKSON, D ; Stanford, DA ; Willmot, GE ( 2005)
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ItemOptimal dynamic reinsuranceDICKSON, D. ; WATERS, H. ( 2006)
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ItemOptimal Dividends Under a Ruin Probability ConstraintDickson, DCM ; Drekic, S (Cambridge University Press (CUP), 2006-09)ABSTRACT We consider a classical surplus process modified by the payment of dividends when the insurer's surplus exceeds a threshold. We use a probabilistic argument to obtain general expressions for the expected present value of dividend payments, and show how these expressions can be applied for certain individual claim amount distributions. We then consider the question of maximising the expected present value of dividend payments subject to a constraint on the insurer's ruin probability.
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ItemSome Optimal Dividends ProblemsDickson, DCM ; Waters, HR (Cambridge University Press (CUP), 2004-05)We consider a situation originally discussed by De Finetti (1957) in which a surplus process is modified by the introduction of a constant dividend barrier. We extend some known results relating to the distribution of the present value of dividend payments until ruin in the classical risk model and show how a discrete time risk model can be used to provide approximations when analytic results are unavailable. We extend the analysis by allowing the process to continue after ruin.