Claims reserving and generalised additive models

Insurance: Mathematics and Economics

Volumn 19, Issue 1, 1996, Pages 31-43

  Verrall, Richard ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

Chain ladder technique; Claims reserving; Generalised additive models; Generalised linear models; Non parametric smoothing

Indexed keywords

EID: 0030527292     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(96)00000-5     Document Type: Article

References (20)

1. [1] Chambers, J.M. and T.J. Hastie (1992). Statistical Models in S. Chapman and Hall, London.
2. [2] De Jong, P. and B. Zehnwirth, (1983). Claims reserving, state-space models and the Kalman filter. JIA 110, 157.
3. [3] Gavin, J.B., S. Haberman and R.J. Verrall (1993). Moving weighted average graduation using kernel graduation. Insurance: Mathematics and Economics 12, 113-126.
4. [4] Gavin, J.B., S. Haberman, and R.J. Verrall (1994). On the choice of bandwidth for kernel graduation. JIA 121, 119-134.
5. [5] Gavin, J.B., S. Haberman and R.J. Verrall (1995). Variable kernel graduation with a boundary correction. Transactions of Society of Actuaries, to appear.
6. [6] Hastie, T. and R. Tibshirani (1990). Generalized Additive Models. Chapman and Hall, London.
7. [7] Hastie, T. and R. Tibshirani (1993). Varying coefficient models (with discussion). JRSS, Series B 55, 757-796.
8. [8] Kyriakidou M. (1995). Claims Reserving Using Generalized Additive Models In S-PLUS, M.Sc. Dissertation, City University, London.
9. [9] Mack T. (1993). Which stochastic model is underlying the chain ladder method? Proceedings XXIV ASTIN Colloquium, Cambridge.
10. [10] Nelder, J. and D. Pregibon (1987). An extended quasi-likelihood function. Biometrika 74, 221-231.
11. [11] Renshaw A.E. (1989). Chain ladder and interactive modelling (claims reserving and GLIM). JIA 116, 559-587.
12. [12] Renshaw A.E. (1994). On the second moment properties and the implementation of certain GLIM based stochastic claims reserving models. Actuarial Research Paper No. 65, Department of Actuarial Science and Statistics, City University, London.
13. [13] Renshaw, A.E. and R.J. Verrall (1994). A stochastic model underlying the chain-ladder technique. Proceedings XXV ASTIN Colloquium, Cannes.
14. [14] Silverman, B.W. (1986). Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.
15. [15] Venables, W.N. and B.D. Ripley (1994). Modern Applied Statistics with S-PLUS. Springer, Berlin.
16. [16] Verrall, R.J. (1989). A state space representation of the chain ladder linear model. JIA 116, 589-610.
17. [17] Verrall, R.J. (1990). Bayes and empirical Bayes estimation for the chain ladder model. ASTIN Bulletin 20, 217-243.
18. [18] Verrall R.J. (1991). On the estimation of reserves from loglinear models. Insurance: Mathematics and Economics, 10, 75-80.
19. [19] Wedderburn, R.W.M. (1974). Quasi-likelihood functions, generalized linear models and the Gauss-Newton method. Biometrika 61, 439-47.
20. [20] West, M., J. Harrison and H. Migon (1985). Dynamic generalised linear models and Bayesian forecasting (with discussion). Journal of the American Statistical Association. 80, 73-97.