CONVOLUTION_assoc: Convolution with association of dimensions

In convdistr: Convolute Probabilistic Distributions

Convolution with association of dimensions

Description

In case of different dimensions of the distribution this function perform the operation on the common distributions and add without modifications the other dimensions of the distribution.

Usage

new_CONVOLUTION_assoc(dist1, dist2, op)

new_SUM_assoc(dist1, dist2)

new_SUBTRACTION_assoc(dist1, dist2)

new_MULTIPLICATION_assoc(dist1, dist2)

new_DIVISION_assoc(dist1, dist2)

Arguments

dist1	an object of class DISTRIBUTION
dist2	and object of class DISTRIBUTION
op	one of '+','-','*','/'

Details

If distribution A have dimensions a and b and distribution B have dimensions b and c, the A + B would produce a distribution with dimensions a, c, b+b,

Value

an object of class DISTRIBUTION

Functions

• new_SUM_assoc(): Sum of distributions

• new_SUBTRACTION_assoc(): Subtraction of distributions

• new_MULTIPLICATION_assoc(): Multiplication of distributions

• new_DIVISION_assoc(): Division of distributions

Author(s)

John J. Aponte

Examples

x1 <- new_MULTINORMAL(c(0,1), matrix(c(1,0.5,0.5,1),ncol=2), p_dimnames = c("A","B"))
x2 <- new_MULTINORMAL(c(10,1), matrix(c(1,0.4,0.4,1),ncol=2), p_dimnames = c("B","C"))
new_CONVOLUTION_assoc(x1,x2, `+`)
new_SUM_assoc(x1,x2)
new_SUBTRACTION_assoc(x1,x2)
new_MULTIPLICATION_assoc(x1,x2)
new_DIVISION_assoc(x1,x2)

convdistr documentation built on May 29, 2024, 11:49 a.m.