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Graduation by Reduction of Mean Square of Error

Published online by Cambridge University Press:  18 August 2016

W. F. Sheppard
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Journal of the Institute of Actuaries , Volume 48 , Issue 2 , April 1914 , pp. 171 - 185
Copyright
Copyright © Institute and Faculty of Actuaries 1914

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References

page 173 note * I use my central-difference notation, in which, if A is the interval between successive values of x,

The notation has been explained by Dr. J. Buchanan in J.I.A., vol. xlii, p. 369.

page 175 note * “Reduction of Errors by means of negligible differences”, Fifth International Congress of Mathematicians, Cambridge, 1912, ii, 348–384 Google ScholarPubMed; “Fitting of Polynomial by method of least squares,” Proceedings of the London Mathematical Society, 2nd series, xiii, 97–108; and a continuation of the latter, communicated to the London Mathematical Society in February 1914.

page 178 note * Seventy-fourth Report (1911) of the Registrar-General: Cd.6578(1913), p. xxxiv.

page 179 note * W. P. Elderton, Frequency-curves and Correlation (1906), p. 19.