Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-15T02:26:45.893Z Has data issue: false hasContentIssue false
  • English
  • Français

Note on the Computation of Terminal Values in Graduation by Jenkins' Modified Osculatory Formula

Published online by Cambridge University Press:  07 November 2014

G. J. Lidstone  and
James Buchanan
Get access

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Other
Information
Transactions of the Faculty of Actuaries , Volume 12 , Issue 1 , 1929 , pp. 277 - 282
Copyright
Copyright © Institute and Faculty of Actuaries 1929

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

page 278 note * As corrected by Dr. Buchanan, post p. 288.

page 279 note * As corrected by Dr. Buchanan, post p. 288.

page 279 note † Provided these artificial values are consistent. In some cases it may be better to insert suitable artificial values of two u's preceding and two u's succeeding those given by the data, and so build up the difference-table directly–cf. Buchanan, loc. cit., p. 133.

page 281 note * If, instead of inserting zero fourth differences at the beginning and end of the range, we can insert assumed values of u preceding and following the known data, consistent with the trend of these data, the resulting fourth differences need not be zero. The effect of this would be that the curve, while still osculating throughout, would be released from the requirement of passing through the terminal guiding values, a possible advantage from the point of view of smoothness.