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Graduation: some experiments with kernel methods

Published online by Cambridge University Press:  20 April 2012

D. S. F. Bloomfield  and
S. Haberman
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Extract

It may be useful to begin with some introductory comments on the nature of graduation and its uses with particular reference to the distinction between graduation by parametric methods, as described in traditional actuarial textbooks, and graduation by non-parametric methods.

Some of the comments have appeared in the early sections of Copas and Haberman's paper which first described the kernel method of non-parametric graduation.

Graduation may be regarded as the principles by which a set of data is adjusted in order to provide a basis suitable for inferences to be drawn and further practical calculations to be made. In actuarial terminology, graduation usually refers to a set of decremental rates, and one of the principal actuarial examples of its use is the construction of a life table from a set of age-specific, observed death rates.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 114 , Issue 2 , September 1987 , pp. 339 - 369
Copyright
Copyright © Institute and Faculty of Actuaries 1987

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References

REFERENCES

(1) Copas, J. B. & Haberman, S. (1983). Non-Parametric Graduation Using Kernel Methods. J.I.A. 110. 135.Google Scholar
(2) Joint Mortality Investigation Committee (1974). Considerations Affecting the Preparation of Standard Tables of Mortality. J.I.A. 101, 133.Google Scholar
(3) CMI Report No. 6 (1983). Graduation of the Mortality Experience of Female Assured Lives 1975–78.Google Scholar
(4) Benjamin, B. & Pollard, J. H. (1980). The Analysis of Mortality and Other Actuarial Statistics. Chapter 11, page 242. Heinemann, London.Google Scholar
(5) Barnett, H. A. R. (1985). Criteria of Smoothness. J.I.A. 112, 331.Google Scholar
(6) Joint Mortality Investigation Committee (1957). Continuous Investigation into the Mortality of Assured Lives: Memorandum on a Special Inquiry into the Distribution of Duplicate Policies. J.I.A. 83, 34.Google Scholar
(7) CMI Report No. 1 (1973). Mortality of Assured Lives 1967–70.Google Scholar
(8) Joint Mortality Investigation Committee (1956). Mortality of Assured Lives. J.I.A. 82, 3.Google Scholar
(9) CMI Report No. 5 (1981). Mortality of Assured Lives. 1975–78.Google Scholar
(10) Elphinstone, M. D. W. (1950). Summation and Some Other Methods of Graduation. The foundations of theory. T.F.A. 20, 25.Google Scholar
(11) Chatfield, C. (1980). The Analysis of Time Series. Chapman and Hall.Google Scholar