A moment inequality approach to statistical inference for rankings

Ryo Okui

The Japanese Economic Review, 2021, vol. 72, issue 2, No 2, 169-184

Abstract: Abstract This paper proposes an econometric method to construct confidence sets for rankings by considering the situations in which data on a comparison between each pair of alternatives are available. The key idea is that if an alternative, say A, is ranked higher than some other alternative, say B, then it would be natural to assume that drawing an observation in which A is compared favorably with B is more likely than the opposite. This provides an insight that we can use to test for a particular ranking by translating it into a problem of testing moment inequalities and that we can obtain confidence sets for rankings by inverting these tests of moment inequalities. We apply the proposed method to statistical inference concerning the rankings of teams in the Nippon Professional Baseball league in Japan.

Keywords: Ranking; Social choice theory; Confidence set; Moment inequality; Nippon Professional Baseball (search for similar items in EconPapers)
JEL-codes: C12 D71 Z20 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42973-020-00068-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:jecrev:v:72:y:2021:i:2:d:10.1007_s42973-020-00068-2

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42973

DOI: 10.1007/s42973-020-00068-2

Access Statistics for this article

The Japanese Economic Review is currently edited by Michihiro Kandori

More articles in The Japanese Economic Review from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().