An Introduction to the theory of statistics

Bibliographic data

Monograph

Identifikator:: 1751730271

URN:: urn:nbn:de:zbw-retromon-127610

Document type:: Monograph

Author:: Yule, George Udny http://d-nb.info/gnd/12910504X

Title:: An Introduction to the theory of statistics

Edition:: 8. ed. rev

Place of publication:: London

Publisher:: Griffin

Year of publication:: 1927

Scope:: XV, 422 S; Ill., Diagr

Digitisation:: 2021

Collection:: Economics Books

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Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Part III. Theory of sampling

Collection:: Economics Books

THEORY OF STATISTICS. Frequency Curves. For the early classical memoirs on the normal curve or law of error by Laplace, Gauss, and others, see Todhunter’s History (Introduction : ref. 7). The literature of this subject is too extensive to enable us to do more than cite a few of the more recent memoirs, of which 6, 7, and 13 are of fundamental importance. The student will find other citations in 6, 8, and 14. (2) CuARLIER, C. V. L., ‘‘Researches into the Theory of Probability” (Communications from the Astronomical Observatory, Lund); Lund, 1906. (3) CuxNiNGHAM, E., “The o-Functions, a Class of Normal Functions occurring in Statistics,” Proc. Roy. Soc., Series A, vol. 1xxxi., 1908, p- 310. (4) EpcEwoRTH, F. Y., ‘On the Representation of Statistics by Mathema- tical Formule,” Jour. Roy. Stat. Soc., vol. 1xi., 1898 ; vol. Ixii., 1899 ; and vol. Ixiii., 1900. (5) EpcEwortH, F. Y., Article on the ‘‘ Law of Error” in the Encyclopedia Britannica, 10th edn., vol, xxviii., 1902, p. 280. (6) EpcEworrn, F. Y., ‘The Law of Error,” Cambridge Phil. Trans., vol. xx., 1904, pp. 36-65, 113-141 (and an appendix, pp. i-xiv, not printed in the Cambridge Phil. Trans.). (7) EpcEworrH, F. Y., “The Generalised Law of Error, or Law of Great Numbers,” Jour. Roy. Stat. Soc., vol. 1xix., 1906, p. 497. (8) EpcEworTH, F. Y., “On the Representation of Statistical Frequency by a Curve,” Jour. Roy. Stat. Soc., vol. 1xx., 1907, p. 102. (9) FECHNER, G. T., Kollektivmassichre (herausgegeben von G. I. Lipps; Engelmann, Leipzig, 1897.) (10) KAPTEYN, J. C., Skew Frequency Curves in Biology and Statistics ; Noordhoff, Groningen ; Wm. Dawson & Sons, London, 1903. (11) MACALISTER, DONALD, ‘‘ The Law of the Geometric Mean,” Proc. Roy. Soc., vol. xxix., 1879, p. 367. (12) N1xow, J. W., ‘“An Experimental Test of the Normal Law of Error,” Jour. Roy. Stat. Soc., vol. 1xxvi., 1913, pp. 702-706. (13) PEARsoN, KARL, ‘Skew Variation in Homogeneous Material,” Phil. Trans. Roy. Soc., Series A, vol. clxxxvi., 1895, p. 343. For the generalised binomial machine, see § 1. The memoir deals with curves derived from the general binomial, and from a somewhat analogous series derived from the case of sampling from limited material. Supplement to the memoir, 4bid., vol. cxevii., 1901, p. 443. For a derivation of the same curves from a modified standpoint, ignoring the binomial and analogous distributions, ¢f. Chap. X., ref. 18. (14) PEARsoN, KARL, ‘‘Das Fehlergesetz und seine Verallgemeinerungen durch Fechner und Pearson”: A Rejoinder, Biometrika, vol. iv., 1905, . 169. (15) Pio Luict, * Nuove Applicazioni del Calcolo delle Probabilita allo Studio dei Fenomeni Statistici e Distribuzione dei Matrimoni secondo Eth degli Sposi,” Mem. della Classe di Scienze morals, etc., Reale Accad, dei Lincet, vol. x., Series 3, 1882. (16) SEEPPARD, W. F., “On the Application of the Theory of Error to Cases of Normal Distribution and Normal Correlation,” Phil. Trans. Roy. Soc., Series A, vol, cxcii., 1898, p. 101. (Includes a geometrical treat- ment of the normal curve.) (17) YULE, G. U., “On the Distribution of Deaths with Age when the Causes of Death act cumulatively, and similar Frequency-distributions,” 214

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