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基于非参数Bootstrap方法的随机性链梯法及R实现 被引量:4

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摘要 在我国目前精算实务中,未决赔款准备金评估的不确定性风险逐渐得到重视,对不确定性加以度量显得很有必要。传统链梯法是未决赔款准备金评估最常用的确定性方法,而过度分散泊松模型是与传统链梯法等价的随机性模型,在过度分散泊松模型下,准备金的极大似然估计和传统链梯法的估计值相同。文章把非参数Bootstrap方法应用于过度分散泊松模型中,得到了未决赔款准备金的预测均方误差和预测分布,并通过精算实务中的数值实例应用R软件加以了实证分析。
出处 《统计与决策》 CSSCI 北大核心 2012年第21期17-23,共7页 Statistics & Decision
基金 中央高校基本科研业务费专项资金资助项目(NKZXTD1101)
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参考文献8

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同被引文献95

  • 1毛泽春,吕立新.用双广义线性模型预测非寿险未决赔款准备金[J].统计研究,2005,22(8):52-55. 被引量:12
  • 2孟生旺.未决赔款准备金评估模型的比较研究[J].统计与信息论坛,2007,22(5):5-9. 被引量:7
  • 3England P. D., Verrall R. J. Analytic and Bootstrap Estimates of Pre diction Errors in Claims Reserving[J].Insurance: Mathematics and Economics,1999,(25).
  • 4Katrien Antonio. Lognormal Mixed Models for Reported Claims Reserves [J]. North American Actuarial Journal 2006 10 (1), 30-48.
  • 5Lowe, J. A Practical Guide to Measuring Reserve Variability Using: Bootstrapping, Operational Time and a Distribution free Approach[R]. Proceedings of the General Insurance Convention, Institute of Actuar- ies and Faculty of Actuaries, 1994.
  • 6McCullagh, P.,Nelder, J.A. Generalized Linear Models(2^nd Edition) [M].London: Chapman and Hall,1989.
  • 7Efron, B. ,Tibshirani, R.J. An Introduction to the Bootstrap [M].Lon- don: Chapman and Hall, 1993.
  • 8Wuthrich M. V., Merz M. Stochastic Claims Reserving Methods in In- surance [M].Now York: John Wiley & Sons, Ltd,2008.
  • 9England P. D., Verrall R. J. Analytic and Bootstrap Estimates of Prediction Errors in Claims Reserving[J]. Insurance: Mathematics an- dEconomics, 1999, (25).
  • 10England P. D. Addendum to Analytic and Bootstrap Estimates of Pre diction Errors in Claims Reserving[J]. Insurance: Mathematics an- dEconomics, 2002, (31).

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