Hostname: page-component-5c6d5d7d68-txr5j Total loading time: 0 Render date: 2024-08-16T11:27:44.548Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Remarks on Splines

Published online by Cambridge University Press:  03 October 2014

J. J. McCutcheon
Get access

Abstract

Although detailed proofs of certain of the more elegant fundamental properties of splines are sometimes non-trivial, the basic underlying ideas are very simple indeed. With a modern computer it is easy to implement the methods described in this paper. Many computer libraries will include optimisation and spline subroutines which can be combined conveniently for this purpose. (For example, several of the calculations in this paper were carried out with the aid of NAG library facilities.)

Type
Research Article
Information
Transactions of the Faculty of Actuaries , Volume 37 , 1979 , pp. 421 - 438
Copyright
Copyright © Institute and Faculty of Actuaries 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Benjamin, B. and Pollard, J. H.The Analysis of Mortality and other Actuarial Statistics (Heinemann, London), 1980.Google Scholar
2.De Boor, C.A Practical Guide to Splines (Springer-Verlag, New York), 1978.CrossRefGoogle Scholar
3.Greville, T. N. E. (ed.), Theory and Application of Spline Functions (Academic Press, New York), 1969.Google Scholar
4.McCutcheon, J. J. and Eilbeck, J. C.Experiments in the graduation of the English Life Tables (No. 13) data. T.F.A., 35(3), 1977, pp. 281–296.Google Scholar
5.McCutcheon, J. J. and Eilbeck, J. C.Graduations of the data for the Scottish Life Tables (1970–72). T.F.A., 36(1), 1978, pp. 42–52.Google Scholar
6. Life Tables (1970–72) England and Wales. Office of population censuses and surveys, Series DS no. 2, H.M.S.O. (London), 1979.Google Scholar