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 ...

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).

ABSTRACT Understanding how different physical processes can shape the probability distribution function (PDF) of surface temperature, in particular the tails of the distribution, is essential for the ...