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Fundamental methods are developed for the derivation of the probability density function and moments of rational algebraic functions of independent random variables. Laplace and Mellin integral ...

Probability Density Function Calculating probabilities for continuous random variables requires a different approach from the methods used with discrete variables. If all the outcomes of a continuous ...

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.

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

Ushio Sumita, Yasushi Masuda, Classes of Probability Density Functions Having Laplace Transforms with Negative Zeros and Poles, Advances in Applied Probability, Vol. 19, No. 3 (Sep., 1987), pp.