Numerical solution of a system of two first order Volterra integro-differential equations arising in ultimate ruin theory
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[1] Howard R. Waters,et al. The Distribution of the time to Ruin in the Classical Risk Model , 2002, ASTIN Bulletin.
[2] Hermann Brunner,et al. Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution , 1997 .
[3] Thomas Mikosch,et al. Non-Life Insurance Mathematics , 2004 .
[4] Claudia Klüppelberg,et al. Ruin probabilities in the presence of heavy tails and interest rates , 1998 .
[5] Onno Boxma,et al. A ruin model with dependence between claim sizes and claim intervals , 2004 .
[6] D. Dickson,et al. Exact solutions for ruin probability in the presence of an absorbing upper barrier , 1984 .
[7] Vladimir Kalashnikov,et al. Ruin under interest force and subexponential claims: a simple treatment , 2000 .
[8] A. Makroglou. Numerical solution of some first order integro-differential equations arising in ultimate ruin theory , 2005 .
[9] David C. M. Dickson,et al. Insurance risk and ruin , 2005 .
[10] A. Makroglou. Convergence of a block-by-block method for nonlinear Volterra integro-differential equations , 1980 .
[11] Jian-Ming Jin,et al. Computation of special functions , 1996 .
[12] Survival Probabilities Based on Pareto Claim Distributions , 1980 .
[13] Sabine Schlegel. Ruin probabilities in perturbed risk models , 1998 .
[14] F. Michaud. Estimating the Probability of Ruin for Variable Premiums by Simulation , 1996, ASTIN Bulletin.
[15] Ivan P. Gavrilyuk,et al. Collocation methods for Volterra integral and related functional equations , 2006, Math. Comput..
[16] A. Makroglou. Integral equations and actuarial risk management: Some models and numeric , 2003 .
[17] Ruin probabilities and investment under interest force in the presence of regularly varying tails , 2004 .
[18] Peter Linz,et al. Analytical and numerical methods for Volterra equations , 1985, SIAM studies in applied and numerical mathematics.
[19] Gordon E. Willmot,et al. The classical risk model with a constant dividend barrier: analysis of the Gerber-Shiu discounted penalty function , 2003 .
[20] Hermann Brunner,et al. Collocation methods for nonlinear Volterra integro-differential equations with infinite delay , 1989 .
[21] David A. Stanford,et al. Ruin probabilities based at claim instants for some non-Poisson claim processes , 2000 .
[22] M. Mangel,et al. New methods for the problem of collective ruin , 1990 .
[23] D. Dickson,et al. Reinsurance and ruin , 1996 .