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VII.—The Correlation between Product Moments of any Order in Samples from a Normal Population

Published online by Cambridge University Press:  15 September 2014

John Wishart
John Wishart
Affiliation:
Statistical Department, Rothamsted Experimental Station
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Extract

1. A problem of considerable importance in the theory of statistics is the determination of the accuracy with which a given sample of observations determines the characteristics of the population from which it is derived. Any parameter of this distribution can only in practice be estimated from the sample, and the degree of latitude in our choice of the right function enables considerations of suitability and efficiency of the particular moment statistic to be taken into account. As well as this, however, the probable errors of such frequency constants, or, to be more complete, the distribution of the constants in all possible samples, must be determined. These problems were formulated many years ago by Karl Pearson (1), and his important researches have stimulated and suggested much subsequent work.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 49 , 1930 , pp. 78 - 90
Copyright
Copyright © Royal Society of Edinburgh 1930

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References

REFERENCES

(1)Pearson, K., and Filon, L. N. G., Phil. Trans. (London), A, 191 (1898), p. 229.Google Scholar
Pearson, K, Biometrika, ii (1903), p. 273; ix (1913), p. 1.Google Scholar
(2) “Student,” Biometrika, vi (1908), p. 1.Google Scholar
(3)Wishart, J., Biometrika, xxa (1928), pp. 32–52.CrossRefGoogle Scholar
(4)Fisher, R. A., Proc. Lond. Math. Soc. (at press); Rothamsted Memoirs, 14.Google Scholar
(5)Frisch, R., “Sur les Semi-Invariants et Moments Employés dans L'Étude des Distributions Statistiques,” Norske Videnskaps-Akademi, ii, 3 (1926), p. 16.Google Scholar
(6)Whittaker, and Robinson, , Calculus of Observations (1924), p. 7.Google Scholar
Steffensen, J. F., Interpolation (1927), p. 55.Google Scholar
(7)Wishart, J., Proc. Lond. Math. Soc., (2) 29 (1929); Rothamsted Memoirs, 14.Google Scholar