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On the Distribution of Duration of First Negative Surplus for a Discrete Time Risk Model with Random Interest Rate

On the Distribution of Duration of First Negative Surplus for a Discrete Time Risk Model with Random Interest Rate
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摘要 In this paper, we examine further annuity-due risk model presented by Cai (Probability in the Engineering and Informational Sciences, 16(2002), 309-324). We consider the computation for the distribution of duration of first negative surplus and the algorithm is shown for calculating probability that ruin occurs and the duration of first negative surplus takes any nonnegative integers values. Numerical illustration for the main result is given. In this paper, we examine further annuity-due risk model presented by Cai (Probability in the Engineering and Informational Sciences, 16(2002), 309-324). We consider the computation for the distribution of duration of first negative surplus and the algorithm is shown for calculating probability that ruin occurs and the duration of first negative surplus takes any nonnegative integers values. Numerical illustration for the main result is given.
出处 《Northeastern Mathematical Journal》 CSCD 2006年第3期299-305,共7页 东北数学(英文版)
基金 The NNSF (10671072) of China"Shu Guang" project (04SG27) of Shanghai Municipal Education CommissionShanghai Education Development Foundation
关键词 discrete time risk model random interest rate annuity-due risk model duration of negative surplus discrete time risk model, random interest rate, annuity-due risk model, duration of negative surplus
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参考文献8

  • 1Cai,J.Ruin probabilities with dependent rates of interest[].J Appl Prob.2002
  • 2Stanford, D. A,and Stroinski, K. J.Recursive methods for computing finite-time ruin probabilities for phase-distributed calim sizes[].ASTIN Bull.1994
  • 3Egidio dos Reis,A. D.How long is the surplus below zero?[].Insurance Math Econom.1993
  • 4Egidio dos Reis,A. D.How many claims does it take to get ruined and recocvered?[].Insurance Math Econom.2002
  • 5Dickson, D. C. M,Egidio dos Reis, A. D,and Waters, H. R.Some stable algorithms in ruin theory and their applications[].ASTIN Bull.1995
  • 6Egidio dos Reis,A. D.On the moments of ruin and recovery times[].Insurance Math and Econom.2000
  • 7Cai,J.Discrete time risk models under rates of interest[].Probab Engrg Inform Sci.2002
  • 8Dickson, D. C. M,and Egidio dos Reis, A. D.On the distribution of the duration of negative surplus[].Scand Actuar J.1996

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