Geodesic
Continuity theorems and algorithmical problems in classical risk model
Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 153-161.

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In this paper an analog of the Bernstein theorem about an approximation of a probability distribution by a mixture of exponential distribution is proved in the metric $L_1$. Different generalizations of classical risk model on a case of dependent financial and insurance risks are constructed. In this case a possibility of a paralleling of algorithms of ruin probability calculation is analyzed. 
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T. A. Kalmykova; Yu. N. Kharchenko; G. Sh. Tsitsiashvili. Continuity theorems and algorithmical problems in classical risk model. Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 153-161. http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a4/

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