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XI.—On Fourfold Sampling with and without Replacement

Published online by Cambridge University Press:  15 September 2014

A. C. Aitken  and
H. T. Gonin
A. C. Aitken
Affiliation:
Mathematical Institute, University of Edinburgh
H. T. Gonin
Affiliation:
Mathematical Institute, University of Edinburgh
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Extract

When each individual of a population of N members can be classified as being either A or A, and at the same time either B or B, the relative proportions, or probabilities, of the four types AB, AB, AB and AB can be set out in the familiar “fourfold table.”

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 55 , 1936 , pp. 114 - 125
Copyright
Copyright © Royal Society of Edinburgh 1936

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References

References to Literature

Campbell, J. T., 1932. “The Poisson Correlation Function,” Proc. Edin. Math. Soc., vol. iv, ser. 2, pp. 18–26.Google Scholar
Gonin, H. T., 1934. “On the Orthogonal Polynomials in Binomial and Hypergeometric Distributions,” a Thesis deposited in the Library of the University of Edinburgh.Google Scholar
Gram, J. P., 1882. “Ueber die Entwickelung reeller Functionem in Reihen mittelst der Methode der kleinsten Quadrate,” J. für Math., Bd. cxiv, pp. 41–73. (Containing the results of a Thesis, Copenhagen, 1879.)CrossRefGoogle Scholar
Greenleaf, H. E. H., 1932. “Curve Approximation by Means of Functions analogous to the Hermite Polynomials,” Ann. Math. Statistics, vol. iii, pp. 204–255.CrossRefGoogle Scholar
Hildebrandt, E. H., 1931. “Systems of Polynomials connected with the Charlier Expansions and the Pearson Differential and Difference Equations,” Ann. Math. Statistics, vol. ii, pp. 379–439.CrossRefGoogle Scholar
Mehler, G., 1866. “Reihenentwicklungen nach Laplaceschen Functionen höherer Ordnung,” J. für Math., Bd. lxvi, pp. 161–176 (174).CrossRefGoogle Scholar
Soper, H. E., 1922. Frequency Arrays, Cambridge, pp. 14, 18, 30.CrossRefGoogle Scholar
Wicksell, S. D., 1916. “Some Theorems in the Theory of Probability,” Svenska Aktuarieföreningens Tidskr., pp. 165–213 (192).Google Scholar
Wicksell, S. D., 1917. “The Application of Solid Hypergeometric Series to Frequency Distributions in Space,” Phil. Mag., vol. xxxiii, ser. 6, pp. 389–394.CrossRefGoogle Scholar