Tables of Expected Values of Order Statistics and Products of Order Statistics for Samples of Size Twenty and Less from the Normal Distribution

Tables of the means, variances, and covariances, to five decimal places, of order statistics from samples of size ten or less have been given by Godwin [3]. In this paper basic expected values are given of order statistics and products of order statistics, for samples of size twenty and less to 10 d...

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Bibliographic Details
Published in:	The Annals of mathematical statistics Vol. 27; no. 2; pp. 410 - 426
Main Author:	Teichroew, D.
Format:	Journal Article
Language:	English
Published:	Institute of Mathematical Statistics 01-06-1956 The Institute of Mathematical Statistics
Subjects:	Expected values Gaussian distributions Mathematical moments Mathematical tables Mathematics Numerical analysis Sampling distributions Statistical discrepancies Statistical variance Statistics
Online Access:	Get full text
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Summary:	Tables of the means, variances, and covariances, to five decimal places, of order statistics from samples of size ten or less have been given by Godwin [3]. In this paper basic expected values are given of order statistics and products of order statistics, for samples of size twenty and less to 10 decimal places (DP). In addition, certain other functions are tabulated to 25 DP to facilitate extension to larger sample sizes.
ISSN:	0003-4851 2168-8990
DOI:	10.1214/aoms/1177728266