A measure of evidence based on the likelihood-ratio statistics

Alexandre Galvão Patriota ()
Additional contact information
Alexandre Galvão Patriota: Universidade de São Paulo

Statistical Papers, 2022, vol. 63, issue 6, No 9, 1951 pages

Abstract: Abstract In this paper, we show that the likelihood-ratio measure (a) is invariant with respect to dominating sigma-finite measures, (b) satisfies logical consequences which are not satisfied by standard p values, (c) respects frequentist properties, i.e., the type I error can be properly controlled, and, under mild regularity conditions, (d) can be used as an upper bound for posterior probabilities. We also discuss a generic application to test whether the genotype frequencies of a given population are under the Hardy–Weinberg equilibrium, under inbreeding restrictions or under outbreeding restrictions.

Keywords: Classical statistics; Coherency; Evidence measure; Hypothesis testing; Likelihood ratio statistics; Monotonicity; Possibility theory (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00362-022-01301-3 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:stpapr:v:63:y:2022:i:6:d:10.1007_s00362-022-01301-3

Ordering information: This journal article can be ordered from
http://www.springer. ... business/journal/362

DOI: 10.1007/s00362-022-01301-3

Access Statistics for this article

Statistical Papers is currently edited by C. Müller, W. Krämer and W.G. Müller

More articles in Statistical Papers from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().