<p><em>AStA Advances in Statistical Analysis</em></p>

<article class="align-center media media--type-link media--view-mode-default"><div class="field field--name-field-media-entity-link field--type-link field--label-hidden field__item"><a href="https://doi.org/10.1007/s10182-021-00424-6" target="_blank"> 175–197</a></div>
      
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An integrated local depth measure

An integrated local depth measure - https://doi.org/10.1007/s10182-021-00424-6

Abstract<br />
We introduce the Integrated Dual Local Depth, which is a local depth measure for data in a Banach space based on the use of one-dimensional projections. The properties of a depth measure are analyzed under this setting and a proper definition of local symmetry is given. Moreover, strong consistency results for the local depth and also, for local depth regions are attained. Finally, applications to descriptive data analysis and classification are analyzed, making a special focus on multivariate functional data, where we obtain very promising results.

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An integrated local depth measure

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