funcharts: tensor_product_mfd – R documentation

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tensor_product_mfd

Tensor product of two Multivariate Functional Data objects

Description

This function returns the tensor product of two Multivariate Functional Data objects. Each object must contain only one replication.

Usage

tensor_product_mfd(mfdobj1, mfdobj2 = NULL)

Arguments

`mfdobj1`	A multivariate functional data object, of class `mfd`, having only one functional observation.
`mfdobj2`	A multivariate functional data object, of class `mfd`, having only one functional observation. If NULL, it is set equal to `mfdobj1`. Default is NULL.

Value

An object of class bifd. If we denote with x(s)=(x_1(s),...,x_p(s)) the vector of p functions represented by mfdobj1 and with y(t)=(y_1(t),...,y_q(t)) the vector of q functions represented by mfdobj2, the output is the vector of pq bivariate functions

f(s,t)=(x_1(s)y_1(t),...,x_1(s)y_q(t), ...,x_p(s)y_1(t),...,x_p(s)y_q(t)).

Examples

library(funcharts)
mfdobj1 <- data_sim_mfd(nobs = 1, nvar = 3)
mfdobj2 <- data_sim_mfd(nobs = 1, nvar = 2)
tensor_product_mfd(mfdobj1)
tensor_product_mfd(mfdobj1, mfdobj2)

funcharts

Functional Control Charts

v1.0.0

GPL-3

Authors

Christian Capezza [cre, aut], Fabio Centofanti [aut], Antonio Lepore [aut], Alessandra Menafoglio [aut], Biagio Palumbo [aut], Simone Vantini [aut]

Initial release