After the simulations were run, the samples were sorted according to PPD and represented as scatterplots alongside the
probability distribution of the PPD.
The rth moment of a discrete
probability distribution about X = 0 is defined by
In probability theory, a log-normal distribution is a continuous
probability distribution of a random variable whose logarithm is normally distributed.
The
probability distribution of [N.sub.PM] for selected scenarios (FFS, PSR) and initial scenarios (short for OPTI) are shown in Fig.
Apart from the joint
probability distribution, copulas are also able to establish conditional
probability distributions.
In order to display the space
probability distribution, we will transform (15) from original spherical coordinates to the popular Cartesian coordinates through the coordinate transformations r = [square root of ([x.sup.2] + [y.sup.2] + [z.sup.2])] and cos [theta] = z/r and then obtain the corresponding space
probability distribution [rho](x, y, z).
Then, the joint
probability distribution is given by applying probability multiplication and additive rules:
First, in terms of definitions, we follow the ecological literature, defining diversity as the interplay of "richness" and "evenness" in a
probability distribution. Richness refers to the number of different diversity types in a system.
The Monte Carlo method simulates the full system many times, each time randomly choosing a value for each variable from its
probability distribution [15].
A
probability distribution is a statistical model that shows the possible outcomes of a particular event or course of action as well as the statistical likelihood of each event.