A New Class of Robust Two-Sample Wald-Type Tests

Simple item page
dc.contributor.authorGhosh, Abhik
dc.contributor.authorMartín Apaolaza, Nirian
dc.contributor.authorBasu, Ayanendranath
dc.contributor.authorPardo Llorente, Leandro
dc.date.accessioned2024-07-03T15:26:55Z
dc.date.available2024-07-03T15:26:55Z
dc.date.issued2018
dc.description.abstractParametric hypothesis testing associated with two independent samples arises frequently in several applications in biology, medical sciences, epidemiology, reliability and many more. In this paper, we propose robust Wald-type tests for testing such two sample problems using the minimum density power divergence estimators of the underlying parameters. In particular, we consider the simple two-sample hypothesis concerning the full parametric homogeneity as well as the general two-sample (composite) hypotheses involving some nuisance parameters. The asymptotic and theoretical robustness properties of the proposed Wald-type tests have been developed for both the simple and general composite hypotheses. Some particular cases of testing against one-sided alternatives are discussed with specific attention to testing the effectiveness of a treatment in clinical trials. Performances of the proposed tests have also been illustrated numerically through appropriate real data examples.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.identifier.citationGhosh, Abhik, Martin, Nirian, Basu, Ayanendranath and Pardo, Leandro. "A New Class of Robust Two-Sample Wald-Type Tests" The International Journal of Biostatistics, vol. 14, no. 2, 2018, pp. 20170023. https://doi.org/10.1515/ijb-2017-0023
dc.identifier.doi10.1515/ijb-2017-0023
dc.identifier.issn1557-4679
dc.identifier.issn2194-573X
dc.identifier.officialurlhttps://doi.org/10.1515/ijb-2017-0023
dc.identifier.urihttps://hdl.handle.net/20.500.14352/105575
dc.issue.number2
dc.journal.titleThe International Journal of Biostatistics
dc.language.isoeng
dc.page.initial20170023 (29)
dc.publisherDe Gruyter
dc.rights.accessRightsopen access
dc.subject.keywordRobust hypothesis testing
dc.subject.keywordTwo-sample problems
dc.subject.keywordMinimum density power divergence estimator
dc.subject.keywordInfluence function
dc.subject.keywordClinical trial
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.unesco2404.01 Bioestadística
dc.titleA New Class of Robust Two-Sample Wald-Type Tests
dc.typejournal article
dc.volume.number14
dspace.entity.typePublication
relation.isAuthorOfPublication1705b043-bb96-4d44-8e13-1c2238cf1717
relation.isAuthorOfPublicationa6409cba-03ce-4c3b-af08-e673b7b2bf58
relation.isAuthorOfPublication.latestForDiscovery1705b043-bb96-4d44-8e13-1c2238cf1717
Download
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
TwoSampleWaldType.pdf
Size:
2.11 MB
Format:
Adobe Portable Document Format
downoload Download
Collections
Artículos