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An Essay at Measuring the Variance of Estimates of Outstanding Claim Payments

  • Frank Ashe (a1)

Abstract

The variance of statistical estimates of outstanding claim payments for long-tailed general insurance portfolios is examined. The variance's three components are discussed. As there is no accepted technique for measuring this variance three methods are investigated empirically for its measurement—a parametric method, the jackknife method, and the bootstrap method. No method stands out as superior to the others and it is recommended that all three be evaluated and used to gauge the possible errors in the estimation of outstanding claims.

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Copyright

Corresponding author

E. S. Knight & Co. Research Centre, 71 York Street, Sydney, N.S.W. 2000, Australia

References

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Baker, R. J. and Nelder, J. A. (1978) The GLIM System, Release 3: Generalized Linear Interactive Modelling. Numerical Algorithms Group: Oxford.
Bartholomew, D. J. (1975) Errors of Prediction in Markov Chain Models. Journal of the Royal Statistical Society B 37, 444456.
De Jong, P. and Zehnwirth, B. (1980) A Random Coefficients Approach to Claims Reserving. Research Paper no. 219: School of Economic and Financial Studies, Macquarie University, North Ryde.
De Jong, P. and Zehnwirth, B. (1982) Claims Reserving, State-space models and the Kalman Filter, Journal of the Institute of Actuaries 110, 157182.
Freedman, D. A. and Peters, S. C. (1984) Bootstrapping a Regression Equation: Some Empirical Results. Journal of the American Statistical Association 79, 97106.
Martin-Lof, P. (1974) The Notion of Redundancy and Its Use as a Quantitative Measure of the Discrepancy between a Statistical Hypothesis and a Set of Observational Data. Scandinavian Journal of Statistics 1, 318.
Miller, A. J. (1984) Selection of Subsets of Regression Variables. Journal of the Royal Statistical Society A 147, 389425.
Miller, R. G. (1974) The Jackknife-A Review. Biometrika 61, 115.
Quenouille, M. H. (1974) Notes on Bias in Estimation. Biometrika 43, 353360.
Rey, W. J. J. (1979) Robust Statistical Methods. Lecture Notes in Mathematics v690, Springer-Verlag: Berlin.
Taylor, G. C. (1981) An Invariance Principle for the Analysis of Non–life Insurance Claims. Journal of the Institute of Actuaries 110, 205242.
Taylor, G. C. (1985) Combination of Estimates of Outstanding Claims in Non-Life Insurance. Insurance: Mathematics & Economics 4, 8191.
Taylor, G. C. and Ashe, F. R. (1983) Second Moments of Estimates of Outstanding Claims. Journal of Econometrics 23, 3761.
Tukey, J. W. (1958) Bias and Confidence in not-quite large samples. Annals of Mathematical Statistics 29, 614.

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