A probability density function (PDF) describes the likelihood of different outcomes for a continuous random variable.

The probability density function measures continuous variables. Having said that, it's important to note that stock and investment returns are generally not continuous random variables.

SIAM Journal on Applied Mathematics, Vol. 18, No. 4 (Jun., 1970), pp. 721-737 (17 pages) The probability density functions of products of independent beta, gamma and central Gaussian random variables ...

By using one of the common stock probability distribution methods of statistical calculations, an investor may determine the likelihood of profits from a holding.

The problem of finding the probability density function of the product of n identically distributed independent normal variables was solved by Springer and Thompson (1966). Their formulae for n ⩽ 7 ...