Dr W F Sheppard's papers


William Fleetwood Sheppard's papers are listed in Proc. Roy. Soc. Edinburgh 56 (1935-36), 279-282. We give a version below:


On the calculation of the most probable values of frequency constants for data arranged according to equal divisions of a scale." Proc. Lond. Math. Soc., vol. xxix, 1897, pp. 353-38o.

"On the geometrical treatment of the 'normal curve' of statistics, with especial reference to correlation and to the theory of error." Proc. Roy. Soc. London, vol. lxii, 1898, pp. 171-173.

"On the relations between Bernoulli's and Euler's numbers." Quart. Journ. Math., vol. xxx, 1898, pp. 18-46.

"On the application of the theory of error to cases of normal distribution and normal correlation." Phil. Trans., vol. cxcii A, 1899, pp. 101-167.

"On the statistical rejection of extreme variations." Proc. Lond. Math. Soc., vol. xxxi, 1899, pp. 70-99.

"On the calculation of differential coefficients from tables involving differences, with an interpolation formula." Nature, vol. lx, 1899, pp. 390-391.

"On the tabulation of certain frequency distributions." Phil. Mag., vol. 1, 1900, pp. 393-398.

"Central difference formulae." Proc. Lond. Math. Soc., vol. xxxi, 1899, pp. 449-488.

"A method for extending the accuracy of certain mathematical tables." Ibid., pp. 423-448.

"Some quadrature formulae." Proc. Lond. Math. Soc., vol. xxxii, 1900, pp. 258-277.

"On the calculation of ++ expression in normal correlation." Trans. Camb. Phil. Soc., 1900, pp. 23-68.

"Quadrature formulae and curve-fitting." Incorporated in "On the systematic fitting of curves," by Karl Pearson, Biometrika, vol. i, 1902, pp. 273-279.

"Table of the probability integral." Biometrika, vol. ii, pp. 174-190.

"On the accuracy of interpolation by finite differences. I." Proc. Lond. Math. Soc., vol. iv, 1906, pp. 320-341.

"Table of deviates of the normal curve." Biometrika, vol. v, 1907, pp. 405-406.

"The calculation of the moments of a frequency distribution." Biometrika, vol. v, 1907, pp. 450-459.

"Quadrature formulae in relation to moments." Math. Gaz., vol. iv, 1908, pp. 325-326.

"The accuracy of interpolation by finite differences. II." Proc. Lond. Math. Soc., vol. x, 1912, pp. 139-172.

"The power-sum formula and the Bernoullian function." Math. Gaz., vol. vi, 1912, pp. 332-336.

"Summation of the coefficients of some terminating hypergeometric series." Proc. Lond. Math. Soc., vol. x, 1912, pp. 469-478.

"Calculation of the moments of an abrupt frequency distribution." Proc. Fifth Intern. Congr. Math., vol. ii, 1912, pp. 414-426.

"Reduction of errors by means of negligible differences." Ibid., pp. 348-384.

"The power-sum formula and the Bernoullian function. III. The Euler-Maclaurin formula." Math. Gaz., vol. vii, 1914, pp. 100-104.

"Factorial moments in terms of sums and differences." Proc. Lond. Math. Soc., vol. xiii, 1914, pp. 81-96.

"Fitting of polynomials by method of least squares. (Solutions in terms of differences and sums.)" Ibid., pp. 97-108.

"Graduation by reduction of mean square of error Part I," Journ. Inst. Act., vol. xlviii, 1914, pp. 171-184,

"Graduation by reduction of mean square of error Part II," Ibid., vol. xlviii, 1914, pp. 390-412.

"Graduation by reduction of mean square of error Part III," Ibid., vol. xlix, 1915, pp. 148-157.

"Central difference interpolation formulae." Journ. Inst. Act., vol. 1, 1916, pp. 88-99.

"Reduction of error by linear compounding." Proc. Roy. Soc., Vol. xcviii, 1921, pp. 64-66.

"Reciprocal correspondence of differences and sums." Proc. Lond. Math. Soc., vol. xxi, 1923, pp. 291-305.

"Reduction of error by linear compounding." Phil. Trans., vol. ccxxi A, 1921, pp. 199-327.

"Extended meaning of conjugate sets." Proc. Lond. Math. Soc., vol. xx, 1922, Pp. 222-224.

From Determinant to Tensor. Oxford. Clarendon Press, 1923. 127 pp.

"Interpolation with least mean square of error." Proc. Intern. Congr. Math. Toronto, 1924, pp. 821-830.

"The fit of a formula for discrepant observations." Phil. Trans., vol. ccxxviii A, 1927, pp. 115-150.

"Interpolation by means of given differences. (Central Difference Notation.)" Proc. Edin. Math. Soc., Vol. iii2, 1933, pp. 1-5.

Article on "Interpolation" in Ency. Brit., 11th Ed., 1910.

Various papers and lectures on probability, statistics, arithmetic, etc., to the Math. Assoc., in Math. Gaz., T.F.A., etc.

Last Updated November 2007