Product distribution

A product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions. Given two statistically independent random variables X and Y, the distribution of the random variable Z that is formed as the product \(Z=XY\) is a product distribution.

# S3 method for Distribution
*(Pi, K)

Arguments

Pi

distribution
K

distribution

Value

product distribution

Examples

data(Pi)
data(Kappa)
res <- Pi * Kappa
dTable(res)
#>    B A C MUDIM.frequency
#> 1: 0 0 0            0.05
#> 2: 0 0 1            0.05
#> 3: 0 1 0            0.15
#> 4: 0 1 1            0.15