Statistical inference for inverse problems

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dc.contributor.authorBissantz, Nicolai
dc.contributor.authorHolzmann, Hajo
dc.date.accessioned2008-11-26T14:26:24Z
dc.date.available2008-11-26T14:26:24Z
dc.date.issued2008-11-26T14:26:24Z
dc.description.abstractIn this paper we study statistical inference for certain inverse problems. We go beyond mere estimation purposes and review and develop the construction of confidence intervals and confidence bands in some inverse problems, including deconvolution and the backward heat equation. Further, we discuss the construction of certain hypothesis tests, in particular concerning the number of local maxima of the unknown function. The methods are illustrated in a case study, where we analyze the distribution of heliocentric escape velocities of galaxies in the Centaurus galaxy cluster, and provide statistical evidence for its bimodality.en
dc.identifier.urihttp://hdl.handle.net/2003/25866
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-14175
dc.language.isoende
dc.subjectAsymptotic normalityen
dc.subjectConfidence intervalen
dc.subjectDeconvolutionen
dc.subjectHeat equationen
dc.subjectModalityen
dc.subjectStatistical inferenceen
dc.subjectStatistical inverse problemen
dc.subject.ddc004
dc.titleStatistical inference for inverse problemsen
dc.typeTextde
dc.type.publicationtypereporten
dcterms.accessRightsopen access

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