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Convolution with association of dimensions

Source: R/convolution_assoc.R
CONVOLUTION_assoc.Rd

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 `+`,`-`,`*`,`/`

Value

an object of class DISTRIBUTION

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,

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

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, `+`)
#>   distribution A C  B
#> 1  CONVOLUTION 0 1 11
new_SUM_assoc(x1,x2)
#>   distribution A C  B
#> 1  CONVOLUTION 0 1 11
new_SUBTRACTION_assoc(x1,x2)
#>   distribution A C  B
#> 1  CONVOLUTION 0 1 -9
new_MULTIPLICATION_assoc(x1,x2)
#>   distribution A C  B
#> 1  CONVOLUTION 0 1 10
new_DIVISION_assoc(x1,x2)
#>   distribution A C   B
#> 1  CONVOLUTION 0 1 0.1