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On the Ranking Problem

Published online by Cambridge University Press:  01 January 2025

Isadore Blumen
Isadore Blumen*
Affiliation:
Cornell University
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Abstract

Observed rankings of objects can be treated as arising from a time dependent probability process. Under such circumstances, associations observed are an indication of the character of this underlying process. In the particular example treated in some detail here, a quantity related to Kendall's tau is found to have an important role and its properties are examined.

Type
Original Paper
Information
Psychometrika , Volume 22 , Issue 1 , March 1957 , pp. 17 - 27
Copyright
Copyright © 1957 The Psychometric Society

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References

Feller, W. An introduction to probability theory and its applications, Vol. I, New York: Wiley, 1950Google Scholar
Kendall, M. G. The advanced theory of statistics, Vol. I, Chap. 16, London: Griffin, 1945Google Scholar
Blumen, I., Kogan, M., and McCarthy, P. J. The industrial mobility of labor as a probability process, Chap. 7, Ithaca, N. Y.: Cornell University, 1955Google Scholar