  In this paper we study the distribution of a product of two continuous random
variables. We derive formulas for the probability density functions and moments
of the products of the Gaussian, log-normal, Student's t and Pareto random
variables. In all cases we analyze separately independent as well as correlated
random variables. Based on the theoretical results we use the general maximum
likelihood approach for the estimation of the parameters of the product random
variables and apply the methodology for a real data case study. We analyze a
distribution of the transaction values, being a product of prices and volumes,
from a continuous trade on the German intraday electricity market.
