register-methods: Method 'register'

In HistDAWass: Histogram-Valued Data Analysis

Method register

Description

Given two distributionH objects, it returns two equivalent distributions such that they share the same cdf values. This function is useful for computing basic statistics.

Usage

register(object1, object2)

## S4 method for signature 'distributionH,distributionH'
register(object1, object2)

Arguments

object1	A distributionH object
object2	A distributionH object

Value

The two distributionH objects in input sharing the same cdf (the p slot)

Author(s)

Antonio Irpino

References

Irpino, A., Lechevallier, Y. and Verde, R. (2006): Dynamic clustering of histograms using Wasserstein metric In: Rizzi, A., Vichi, M. (eds.) COMPSTAT 2006. Physica-Verlag, Berlin, 869-876.
Irpino, A.,Verde, R. (2006): A new Wasserstein based distance for the hierarchical clustering of histogram symbolic data In: Batanjeli, V., Bock, H.H., Ferligoj, A., Ziberna, A. (eds.) Data Science and Classification, IFCS 2006. Springer, Berlin, 185-192.

Examples

## ---- initialize two distributionH objects mydist1 and mydist2
mydist1 <- distributionH(c(1, 2, 3), c(0, 0.4, 1))
mydist2 <- distributionH(c(7, 8, 10, 15), c(0, 0.2, 0.7, 1))
## register the two distributions
regDist <- register(mydist1, mydist2)

## OUTPUT:
## regDist$[[1]]
## An object of class "distributionH"
## Slot "x": [1] 1.0 1.5 2.0 2.5 3.0
## Slot "p": [1] 0.0 0.2 0.4 0.7 1.0
## ...
## regDist$[[2]]
## An object of class "distributionH"
## Slot "x": [1] 7.0 8.0 8.8 10.0 15.0
## Slot "p": [1] 0.0 0.2 0.4  0.7  1.0
## ...
# The REGISTER function ----

HistDAWass documentation built on Sept. 26, 2022, 5:06 p.m.