2012; Physical and Mathematical Sciences, 46(3 (229): 21–28
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ON THE GENERALIZED SAMPLE RANGE

Received: 2025-02-18 · Published: 2012-12-01

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Original title
ON THE GENERALIZED SAMPLE RANGE
Author
V.K. Saghatelyan
Published
2012-12-01
Licence
Creative Commons Attribution 4.0 International

Abstract

A new statistic called “generalized sample range” is introduced and estimation of its expectation is provided. Maximum value of expectation of new range is determined. Characterization of corresponding distribution, which affords that maximum is obtained. The asymptotic behavior and limiting relations of the distribution and its characterization are considered.
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