CONVOLUTION_comb {convdistr}

Convolution with combination of dimensions

Description

In case of different dimensions of the distribution this function perform the operation on the combination of the distributions of both distribution.

Usage

new_CONVOLUTION_comb(dist1, dist2, op, p_dimnames)

new_SUM_comb(dist1, dist2)

new_SUBTRACTION_comb(dist1, dist2)

new_MULTIPLICATION_comb(dist1, dist2)

new_DIVISION_comb(dist1, dist2)

Arguments

dist1

an object of class DISTRIBUTION

dist2

and object of class DISTRIBUTION

op

one of '+','-','*','/'

p_dimnames

a character vector with the name of the dimensions. If missing the combination of the individual dimensions will be used

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_b,a_c,b_b, b_c

Value

an object of class DISTRIBUTION

Functions

• new_SUM_comb(): Sum of distributions

• new_SUBTRACTION_comb(): Subtraction of distributions

• new_MULTIPLICATION_comb(): Multiplication of distributions

• new_DIVISION_comb(): Division of distributions

Note

In case of the same dimensions, only the first combination is taken

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_comb(x1,x2, `+`)
new_SUM_comb(x1,x2)
new_SUBTRACTION_comb(x1,x2)
new_MULTIPLICATION_comb(x1,x2)
new_DIVISION_comb(x1,x2)