Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 43, 2014 - Issue 8
Submit an article Journal homepage
143
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

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

Andrius ČiginasProbability Theory and Statistics Department, Vilnius University Institute of Mathematics and Informatics, Vilnius, LithuaniaCorrespondence[email protected]
&
Dalius PumputisDepartment of Mathematics, Lithuanian University of Educational Sciences, Vilnius, Lithuania
Pages 1793-1799 | Received 12 Jun 2011, Accepted 07 Mar 2012, Published online: 28 Mar 2014
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

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.

Mathematics Subject Classification:

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,069.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.