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dc.contributor.advisorJupp, Peter E.
dc.contributor.authorLarsen, Pia Veldt
dc.coverage.spatial104 p.en_US
dc.description.abstractAlthough Wald tests form one of the major classes of hypothesis tests, they suffer from the well-known major drawback that they are not invariant under reparameterisation. This thesis uses the differential-geometric concept of a yoke to introduce one-parameter families of geometric Wald statistics, which are parameterisation-invariant statistics in the spirit of the traditional Wald statistics. Both the geometric Wald statistics based on the expected likelihood yokes and those based on the observed likelihood yokes are investigated. Bartlett-type adjustments of the geometric Wald statistics are obtained, in order to improve the accuracy of the chi-squared approximations to their distributions under the null hypothesis.en_US
dc.publisherUniversity of St Andrewsen
dc.subject.lcshEstimation theoryen
dc.titleParameterisation-invariant versions of Wald testsen_US
dc.contributor.sponsorUniversity of St Andrewsen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US

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