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- Math. Comp. 9 (1955), 195-224 Request permission
References
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K. Hayashi, Sieben- und mehrstellige Tafeln der Kreis- und Hyperbel-funktionen und deren Produkte sowie der Gammafunktion. Springer, Berlin, 1926.
- Tables of Inverse Hyperbolic Functions, Harvard University Press, Cambridge, Mass., 1949. By the Staff of the Computation Laboratory. MR 0029262
- Ralph Hoyt Bacon, Integral solutions of $x^2+y^2+z^2=r^2$, School Sci. Math. 47 (1947), 155–164. MR 0073305
- Ralph Hoyt Bacon, Integral solutions of $x^2+y^2+z^2=r^2$, School Sci. Math. 47 (1947), 155–164. MR 0073305
- Francis L. Miksa, A table of integral solutions of $a^2+b^2+c^2=r^2$, Math. Teacher 48 (1955), 251–255. MR 73306 J. V. Uspensky & M. A. Heaslet, Elementary Number Theory, McGraw-Hill, New York, 1939, p. 337-341. Fletcher, Miller & Rosenhead, An Index of Mathematical Tables, Scientific Computing Service, Ltd., London, p. 72.
- George E. Forsythe, Tentative classification of methods and bibliography on solving systems of linear equations, Simultaneous linear equations and the determination of eigenvalues, National Bureau of Standards Applied Mathematics Series, No. 29, U.S. Government Printing Office, Washington, D.C., 1953, pp. 1–28. MR 0057021 L. F. Richardson, “The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam,” Roy. Soc. London, Phil. Trans. (A), v. 210, 1910, p. 307-357.
- A. J. Thompson, Table of the Coefficients of Everett’s Central-Difference Interpolation Formula, 2nd edition, Tracts for Computers, No. 5, Cambridge University Press, Cambridge, England, 1943. MR 0007848
- Herbert E. Salzer, A new formula for inverse interpolation, Bull. Amer. Math. Soc. 50 (1944), 513–516. MR 10673, DOI 10.1090/S0002-9904-1944-08179-2
- Herbert E. Salzer, Inverse interpolation for eight-, nine-, ten-, and eleven-point direct interpolation, J. Math. Phys. Mass. Inst. Tech. 24 (1945), 106–108. MR 12923, DOI 10.1002/sapm1945241106
- A. Wald and J. Wolfowitz, On a test whether two samples are from the same population, Ann. Math. Statistics 11 (1940), 147–162. MR 2083, DOI 10.1214/aoms/1177731909
- A. M. Mood, The distribution theory of runs, Ann. Math. Statistics 11 (1940), 367–392. MR 3493, DOI 10.1214/aoms/1177731825
- W. J. Dixon, Power functions of the sign test and power efficiency for normal alternatives, Ann. Math. Statistics 24 (1953), 467–473. MR 58935, DOI 10.1214/aoms/1177728986
- H. A. David, Further applications of range to the analysis of variance, Biometrika 38 (1951), 393–409. MR 46006, DOI 10.1093/biomet/38.3-4.393
- P. B. Patnaik, The use of mean range as an estimator of variance in statistical tests, Biometrika 37 (1950), 78–87. MR 36484, DOI 10.1093/biomet/37.1-2.78 E. B. Wilson & M. M. Hilferty, “The distribution of chi-square,” Nat. Acad. Sci., Proc., v. 17, 1931, p. 684-688. E. A. Cornish & R. A. Fisher, “Moments and cumulants in the specification of distributions,” Extrait de la Revue de l’Institut International de Statistique, v. 4, 1937, p. 1-14. For the definition of $H{h_n}(x)$ see BAAS Math. Tables, v. I, London, 1941, p. x.
- P. K. Bose, On recursion formulae, tables and Bessel function populations associated with the distribution of classical $D^2$-statistic, Sankhyā 8 (1947), 235–248. MR 25251
- K. J. Shone, Relations between the standard deviation and the distribution of range in non-normal populations, J. Roy. Statist. Soc. Ser. B 11 (1949), 85–88. MR 32164, DOI 10.1111/j.2517-6161.1949.tb00024.x
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Math. Comp. 9 (1955), 195-224
- DOI: https://doi.org/10.1090/S0025-5718-55-99013-X