Publication Cover
Stochastics
An International Journal of Probability and Stochastic Processes
Volume 85, 2013 - Issue 4: Taksar Memorial Issue
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Original Articles

Portfolio size as function of the premium: modelling and optimization

, &
Pages 575-588 | Received 24 Mar 2013, Accepted 16 Apr 2013, Published online: 03 Jun 2013

References

  • Arrow , K.J. 1965 . Aspects of the Theory of Risk-Bearing , Helsinki : Yrjö Jahnssonin Säätiö .
  • Asmussen , S. and Albrecher , H. 2010 . Ruin Probabilities , 2nd ed. , London : World Scientific .
  • Bichsel , F. 1964 . Erfahrungstarifierung in der Motorfahrzeug-Haftphlicht-Versicherung . Mitt. Verein. Schweiz. Versich. Math. , 64 : 119 – 130 .
  • Bühlmann , H. and Gisler , A. 2005 . A Course in Credibility Theory and its Applications , Berlin : Springer-Verlag .
  • Corless , R.M. , Gonnet , G.H. , Hare , D.E.G. , Jeffrey , D.J. and Knuth , D.E. 1996 . On the Lambert W function . Adv. Comput. Math. , 5 : 329 – 359 .
  • Denuit , M. , Maréchal , X. , Pitrebois , S. and Walhin , J.-F. 2007 . Actuarial Modeling of Claim Counts. Risk Classification, Credibility and Bonus-Malus Systems , Chichester : Wiley .
  • Gordon , M.J. 1959 . Dividends, earnings and stock prices . Rev. Econ. Stat. , 41 : 99 – 105 .
  • Hipp , C. and Taksar , M. 2010 . Optimal non-proportional reinsurance control . Insur. Math. Econ. , 47 : 246 – 254 .
  • Højgaard , B. 2002 . Optimal dynamic premium control in non-life insurance. Maximizing dividend pay-outs . Scand. Actuarial J. , 2002 : 225 – 245 .
  • Pratt , J.W. 1964 . Risk aversion in the small and in the large . Econometrica , 32 : 122 – 136 .
  • Rothschild , M. and Stiglitz , J. 1976 . Equilibrium in competitive insurance markets: An essay on the economics of imperfect information . Q. J. Econ. , 90 : 629 – 649 .
  • Schmidli , H. 2008 . Stochastic Control in Insurance , London : Springer-Verlag .
  • Øksendahl , B. and Sulem , A. 2007 . Applied Stochastic Control of Jump Diffusions , 2nd ed. , Berlin : Springer-Verlag .

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