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The Whittaker-Henderson Method of Graduation

Published online by Cambridge University Press:  18 August 2016

A. W. Joseph
A. W. Joseph
Affiliation:
Wesleyan and General Assurance Society
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Extract

Mr Elphinstone, in his recent paper to the Faculty of Actuaries, has reawakened interest in the method of graduation devised by Sir Edmund T. Whittaker some 32 years ago. Except for Professor A. C. Aitken who, in a paper( in the Proceedings of the Royal Society of Edinburgh and a note in the Transactions of the Faculty of Actuaries, gave a brilliant alternative solution of the equations on which Whittaker's method depends, English and Scottish writers have paid little attention to the method. Robert Henderson's paper published in 1924 stimulated American actuaries, and their investigations have continued up to the present time. The book by Kingsland Camp (reviewed J.I.A. lxxvii, 327) gives numerous practical developments of Robert Henderson's work. Students should not overlook a most valuable paper by Charles A. Spoerl which deals comprehensively with almost every aspect of the subject.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 78 , Issue 1 , June 1952 , pp. 99 - 114
Copyright
Copyright © Institute and Faculty of Actuaries 1952

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References

(1) Elphinstone, M. D. W. (1950). Summation and Some other Methods of Graduation—The Foundations of Theory, T.F.A. XX, 13.Google Scholar
(2) Whittaker, E. T. (1919). Proc. Edinb. Math. Soc. XLI, 63.Google Scholar
(3) Whittaker, E. T. and Robinson, G. (1924). The Calculus of Observations, 4th ed., pp. 303 et seq.Google Scholar
(4) Aitken, A. C. (1925). Proc. R. Soc. Edinb. XLVI, 36.Google Scholar
(5) Aitken, A. C. (1926). T.F.A. XI, 31.Google Scholar
(6) Henderson, Robert (1924). A New Method of Graduation. T.A.S.A. xxv, 29.Google Scholar
(7) Spoerl, C. A. (1937). The Whittaker-Henderson Graduation Formula A. T.A.S.A. XXXVIII, 403.Google Scholar
(8) Lidstone, G. J. (1926). T.F.A. XI, 27.Google Scholar
(9) Joffe, S. A. (1924). T.A.S.A. xxv, 292.Google Scholar