The PDF and cumulative distribution function are important tools in statistics, but they provide different information about a random variable. Think of the probability density function as a ...

The notion of probability density for a random function is not as straight-forward as in finite-dimensional cases. While a probability density function generally does not exist for functional data, we ...

Leonard Fortuin, Five Popular Probability Density Functions: A Comparison in the Field of Stock-Control Models, The Journal of the Operational Research Society, Vol. 31, No. 10 (Oct., 1980), pp.

Instead, they obey a predefined, arbitrary distribution. This example of an arbitrary probability distribution function (PDF) expresses the occurrence probability of 10 values (Fig. 1).