A Note on the Upper Bound to Variance of the Sample Extreme from a Finite Population

Andrius Čiginas and Dalius Pumputis

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 8, 1793-1799

Abstract: We construct a new upper bound for the variance of the sample minimum and maximum in the case of a simple random sample drawn without replacement. The bound is optimal in the form provided. Similar bounds are shown for the other order statistics.

Date: 2014
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DOI: 10.1080/03610926.2012.675216

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