dotpW | R Documentation |
dotpW
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).
dotpW(e1, e2)
## S4 method for signature 'distributionH,distributionH'
dotpW(e1, e2)
## S4 method for signature 'numeric,distributionH'
dotpW(e1, e2)
## S4 method for signature 'distributionH,numeric'
dotpW(e1, e2)
e1 |
a |
e2 |
a |
A numeric value
Antonio Irpino
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
## 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
# DOTPW method -----
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