HistDAWass (version 1.0.4)

dotpW: Method dotpW

Description

The dot product of two distributions inducing the L2 Wasserstein metric

The dot product of a number (considered as an impulse distribution function) and a distribution

The dot product of a distribution and a number (considered as an impulse distribution function).

Usage

dotpW(e1, e2)
# S4 method for distributionH,distributionH
dotpW(e1, e2)
# S4 method for numeric,distributionH
dotpW(e1, e2)
# S4 method for distributionH,numeric
dotpW(e1, e2)

Arguments

e1

a distributionH object or a number

e2

a distributionH object or a number

Value

A numeric value

References

Irpino, A., Verde, R. (2015) Basic statistics for distributional symbolic variables: a new metric-based approach Advances in Data Analysis and Classification, DOI 10.1007/s11634-014-0176-4

Examples

# NOT RUN {
## let's define two distributionH objects
mydist1<-distributionH(x=c(1,2,3,10), p=c(0,0.1,0.5,1))
mydist2<-distributionH(x=c(5,7,15), p=c(0,0.7,1))

## the dot product between the distributions
dotpW(mydist1,mydist2) #---> 39.51429

## the dot product between a distribution and a numeric
dotpW(mydist1,3)  #---> 13.2
dotpW(3,mydist1)  #---> 13.2


# }