An investigation into stochastic claims reserving models and the chain-ladder technique

作者: R.J. Verrall

DOI: 10.1016/S0167-6687(99)00038-4

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摘要: Abstract This paper considers a range of stochastic models which give the same reserve estimates as chain-ladder technique. The relationship between described by Renshaw and Verrall (Renshaw, A.E., Verrall, R.J., 1998. British Actuarial Journal 4, 903–923) Mack (Mack, T., 1993. ASTIN Bulletin 23, 213–225) is explored in more detail than previously. Several new are suggested some ways to allow for negative incremental claims technique other reserving methods put forward.

参考文章(6)
A.E. Renshaw, R.J. Verrall, A Stochastic Model Underlying the Chain-Ladder Technique British Actuarial Journal. ,vol. 4, pp. 903- 923 ,(1998) , 10.1017/S1357321700000222
Peter England, Richard Verrall, Analytic and bootstrap estimates of prediction errors in claims reserving Insurance: Mathematics and Economics. ,vol. 25, pp. 281- 293 ,(1999) , 10.1016/S0167-6687(99)00016-5
R. J. Verrall, Chain ladder and maximum likelihood Journal of the Institute of Actuaries. ,vol. 118, pp. 489- 499 ,(1991) , 10.1017/S0020268100019545