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September, 1962 The Sample Mean Among the Moderate Order Statistics
Herbert T. David
Ann. Math. Statist. 33(3): 1160-1166 (September, 1962). DOI: 10.1214/aoms/1177704478


The first part of this paper (Section 2) is devoted to the derivation of the asymptotic distribution of the sample proportion above a normal sample mean. The second part of the paper, leaning on the first, treats the asymptotic joint distribution of runs of various lengths above the sample mean (Section 3). The approach here proves general enough to cover asymptotic run distributions arising when the dichotomy criterion is magnitude relative to a sample function other than the sample mean and the population is other than normal.


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Herbert T. David. "The Sample Mean Among the Moderate Order Statistics." Ann. Math. Statist. 33 (3) 1160 - 1166, September, 1962.


Published: September, 1962
First available in Project Euclid: 27 April 2007

zbMATH: 0133.42502
MathSciNet: MR143301
Digital Object Identifier: 10.1214/aoms/1177704478

Rights: Copyright © 1962 Institute of Mathematical Statistics

Vol.33 • No. 3 • September, 1962
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