Mexia, João T.Moreira, Elsa E.2019-07-152019-07-152010-12-01978-0-7354-0834-00094-243XPURE: 11709539PURE UUID: d8e08375-151c-41ae-b011-55b621ce0559Scopus: 79954531773WOS: 000289661500334ORCID: /0000-0003-0116-1917/work/64040765http://www.scopus.com/inward/record.url?scp=79954531773&partnerID=8YFLogxKDistributions and densities for F test statistics are obtained assuming random sample sizes, thus getting random degrees of freedom and non-centrality parameters. Classical optimum properties are extended to this new setup as well as Scheffé Theorem for simultaneous confidence intervals.4618045engF testsoptimum propertiesRandom sample sizessimultaneous confidence intervalsGeneral Physics and Astronomyconference object10.1063/1.3497917https://www.scopus.com/pages/publications/79954531773