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September, 1947 Low Moments for Small Samples: A Comparative Study of Order Statistics
Cecil Hastings Jr., Frederick Mosteller, John W. Tukey, Charles P. Winsor
Ann. Math. Statist. 18(3): 413-426 (September, 1947). DOI: 10.1214/aoms/1177730388


The means, variances, and covariances for samples of size $\leq 10$ from the normal distribution, a selected long-tailed distribution, and the uniform distribution are tabled and compared with the usual asymptotic approximations. The methods of computation used and the accuracy expected are discussed. Use is made of the representation of an arbitrarily distributed variate as a monotone function of a uniformly (rectangularly) distributed variate. It is hoped that these tables will encourage experimentation with new statistical procedures.


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Cecil Hastings Jr.. Frederick Mosteller. John W. Tukey. Charles P. Winsor. "Low Moments for Small Samples: A Comparative Study of Order Statistics." Ann. Math. Statist. 18 (3) 413 - 426, September, 1947.


Published: September, 1947
First available in Project Euclid: 28 April 2007

zbMATH: 0034.07401
MathSciNet: MR22335
Digital Object Identifier: 10.1214/aoms/1177730388

Rights: Copyright © 1947 Institute of Mathematical Statistics

Vol.18 • No. 3 • September, 1947
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