This function computes the Half-Region Depth (HRD) of elements of a univariate functional dataset.
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Data |
either an |
Given a univariate functional dataset, X_1(t), X_2(t), …, X_N(t), defined over a compact interval I=[a,b], this function computes the HRD of its elements, i.e.:
HRD(X(t)) = \min( EI( X(t) ), HI(X(t)) ),
where EI(X(t)) indicates the Epigraph Index (EI) of X(t) with respect to the dataset, and HI(X(t)) indicates the Hypograph Index of X(t) with respect to the dataset.
The function returns a vector containing the values of HRD for each
element of the functional dataset provided in Data
.
Lopez-Pintado, S. and Romo, J. (2012). A half-region depth for functional data, Computational Statistics and Data Analysis, 55, 1679-1695.
Arribas-Gil, A., and Romo, J. (2014). Shape outlier detection and visualization for functional data: the outliergram, Biostatistics, 15(4), 603-619.
MHRD
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, HI
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fData
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