Classical risk theory in an economic environment. (English) Zbl 0622.62098

In classical risk theory, interest is ignored. This comprehensive paper gives a general description of the classical risk process when interest and inflation are taken into account. Their effects on bounds on ruin probabilities are studied.
Reviewer: E.Shiu


62P05 Applications of statistics to actuarial sciences and financial mathematics
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[1] Dassios, A.; Embrechts, P., Martingales and insurance risk, (1987), forthcoming · Zbl 0676.62083
[2] Delbaen, F.; Haezendonck, J., Inversed martingales in risk theory, Insurance: mathematics and economics, 4, 201-206, (1985) · Zbl 0571.62093
[3] Delbaen, F.; Haezendonck, J., Martingales in Markov processes applied to risk theory, Insurance: mathematics and economics, 5, 201-216, (1986) · Zbl 0629.62100
[4] Gerber, H.U., Martingales in risk theory, Mitteilungen der vereinigung schweizerischer versicherung mathematiker, 73, 205-216, (1973) · Zbl 0278.60047
[5] Gerber, H.U., An introduction to mathematical risk theory, (), Distributed by · Zbl 0431.62066
[6] Goovaerts, M.J.; De Vylder, F.; Haezendonck, J., Insurance premiums, theory and applications, (1984), North-Holland Amsterdam · Zbl 0532.62082
[7] Harrison, J.M., Ruin problems with compounding assets, Stochastic processes and its applications, 5, 67-79, (1977) · Zbl 0361.60053
[8] Kabane, Y., The theory of insurance risk premiums. A re-examination in the light of recent developments in capital market theory, The astin bulletin, 10, 223-239, (1979)
[9] Moriconi, F., Martingale applicate alla teoria del rischio: processi di guadagno a submartingale e aggiustabilità, Rev. mat. appl. sc. econ. soc., 6, 57-65, (1983)
[10] Moriconi, F., Ruin theory under the submartingale assumption, (), 177-188
[11] Moriconi, F., The submartingale assumption in risk theory, Insurance: mathematics and economics, 5, no. 4, 295-304, (1986) · Zbl 0611.62130
[12] Neveu, J., Bases mathématiques du calcul deş probabilités, (1964), Masson et Cie Paris · Zbl 0137.11203
[13] Taylor, G.C., Probability of ruin under inflationary conditions or under experience rating, The astin bulletin, 16, 149-162, (1979)
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