Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions. Given two random variables X and Y, the distribution of the random variable Z that is formed as the product Z = XY is a product distribution. The product is one type of algebra for random variables: Related to the product distribution are the ratio distribution, sum distribution and difference distribution. More generally, one may talk of combinations of sums, differences, products and ratios. Many of these distributions are described in Melvin D. Springer's book from 1979 The Algebra of Random Variables. In probability theory and statistics, a probability distribution identifies either the probability of each value of a random variable (when the variable is discrete), or the probability of the value falling within a particular interval (when the variable is continuous).

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