WH_MAT_DIST

The function extracts the L2 Wasserstein distance matrix from a MatH object.

In the framework of Symbolic Data Analysis, a relatively new
approach to the statistical analysis of multi-valued data, we consider
histogram-valued data, i.e., data described by univariate histograms. The
methods and the basic statistics for histogram-valued data are mainly based
on the L2 Wasserstein metric between distributions, i.e., the Euclidean metric
between quantile functions. The package contains unsupervised classification
techniques, least square regression and tools for histogram-valued data and for
histogram time series. An introducing paper is Irpino A. Verde R. (2015) <doi: 10.1007/s11634-014-0176-4>.

Antonio Irpino

HistDAWass

Histogram-Valued Data Analysis

WH_MAT_DIST function

<dl><dt>x</dt>
<dd>A MatH object (a matrix of distributionH).</dd>
<dt>simplify</dt>
<dd>A logic value (default is FALSE), if TRUE histograms are recomputed in order to speed-up the algorithm.</dd>
<dt>qua</dt>
<dd>An integer, if <code>simplify</code>=TRUE is the number of quantiles used for recodify the histograms.</dd>
<dt>standardize</dt>
<dd>A logic value (default is FALSE). If TRUE, histogram-valued data are standardized, variable by variable,
using the Wasserstein based standard deviation. Use if one wants to have variables with std equal to one.</dd></dl>

Arguments

L2  Wasserstein distance matrix — WH_MAT_DIST

<dl>

<dt>x</dt>
<dd>A MatH object (a matrix of distributionH).</dd>


<dt>simplify</dt>
<dd>A logic value (default is FALSE), if TRUE histograms are recomputed in order to speed-up the algorithm.</dd>


<dt>qua</dt>
<dd>An integer, if <code>simplify</code>=TRUE is the number of quantiles used for recodify the histograms.</dd>


<dt>standardize</dt>
<dd>A logic value (default is FALSE). If TRUE, histogram-valued data are standardized, variable by variable,
using the Wasserstein based standard deviation. Use if one wants to have variables with std equal to one.</dd>

</dl>

WH_MAT_DIST: L2 Wasserstein distance matrix

Description

Usage

Value

Arguments

References

Examples