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December, 1982 Some Nondegenerate Limit Laws for the Selection Differential
H. N. Nagaraja
Ann. Statist. 10(4): 1306-1310 (December, 1982). DOI: 10.1214/aos/1176345997

Abstract

The difference between the average of the top $k$ out of $n$ order statistics and the population mean expressed in population standard deviation units is known as the selection differential. This paper obtains some nondegenerate limit laws for this quantity. The results are applied to the construction of tables used in testing for outliers.

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H. N. Nagaraja. "Some Nondegenerate Limit Laws for the Selection Differential." Ann. Statist. 10 (4) 1306 - 1310, December, 1982. https://doi.org/10.1214/aos/1176345997

Information

Published: December, 1982
First available in Project Euclid: 12 April 2007

zbMATH: 0507.62049
MathSciNet: MR673667
Digital Object Identifier: 10.1214/aos/1176345997

Subjects:
Primary: 62G30
Secondary: 62E20 , 62F03

Keywords: order statistics , selection differential , test for outliers

Rights: Copyright © 1982 Institute of Mathematical Statistics

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Vol.10 • No. 4 • December, 1982
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