A new approach to precise interval estimation for the parameters of the hypergeometric distribution

Mark F. Schilling and Alyssa Stanley

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 1, 29-50

Abstract: We study interval estimation for both parameters of the hypergeometric distribution: (i) the number of successes in a finite population and (ii) the size of the population. In contrast to traditional methods that specify intervals via a formula, our approach is to first establish the coverage probability function of an ideal procedure. This in turn determines the set of confidence intervals. In the case when the population size is known and we wish to estimate the number of successes, our approach is superior to existing methods in terms of average interval length and in fact achieves the minimum possible average length. In the case of estimating population size, our procedure also tends to produce shorter intervals than existing methods. Both procedures also possess an attractive coverage property.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2020.1737879 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:51:y:2022:i:1:p:29-50

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2020.1737879

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().