CONVOLUTION_comb {convdistr} R Documentation

## 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

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)


[Package convdistr version 1.5.3 Index]