A nonmanipulable test

dc.creatorOlszewski, Wojciech
dc.creatorSandroni, Alvaro
dc.date2009-04-02
dc.date.accessioned2026-07-07T12:59:33Z
dc.date.available2026-07-07T12:59:33Z
dc.descriptionA test is said to control for type I error if it is unlikely to reject the data-generating process. However, if it is possible to produce stochastic processes at random such that, for all possible future realizations of the data, the selected process is unlikely to be rejected, then the test is said to be manipulable. So, a manipulable test has essentially no capacity to reject a strategic expert. Many tests proposed in the existing literature, including calibration tests, control for type I error but are manipulable. We construct a test that controls for type I error and is nonmanipulable.
dc.descriptionPublished in at http://dx.doi.org/10.1214/08-AOS597 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0904.0338
dc.identifierhttp://arxiv.org/abs/0904.0338
dc.identifierAnnals of Statistics 2009, Vol. 37, No. 2, 1013-1039
dc.identifierdoi:10.1214/08-AOS597
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225611
dc.subjectStatistics Theory
dc.subject62A01 (Primary) 91A40 (Secondary)
dc.titleA nonmanipulable test
dc.typetext

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