ArticleJournal of multivariate analysis2022
Functional delta residuals and applications to simultaneous confidence bands of moment based statistics.
Article in Journal of multivariate analysis, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- Simultaneous confidence regions for image excursion sets: A validation study with applications in fMRI.Imaging neuroscience (Cambridge, Mass.) · 2025Article
- Confidence Sets for Cohen's d effect size images.NeuroImage · 2021Article
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Authors and funding
3 authors.
Funding
Abstract
Given a functional central limit (fCLT) for an estimator and a parameter transformation, we construct random processes, called functional delta residuals, which asymptotically have the same covariance structure as the limit process of the functional delta method. An explicit construction of these residuals for transformations of moment-based estimators and a multiplier bootstrap fCLT for the resulting functional delta residuals are proven. The latter is used to consistently estimate the quantiles of the maximum of the limit process of the functional delta method in order to construct asymptotically valid simultaneous confidence bands for the transformed functional parameters. Performance of the coverage rate of the developed construction, applied to functional versions of Cohen's d, skewness and kurtosis, is illustrated in simulations and their application to test Gaussianity is discussed.
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