The Hermite distribution is the generalized Poisson distribution whose probability generating function (P.G.F.) is $\exp\lbrack a_1 (s - 1) + a_2 (s^2 - 1)\rbrack$. The probabilities (and factorial ...

For simplicity, we considered networks consisting of two-body catalytic reactions. We used the probability generating function method to obtain the steady-state solutions of the chemical master ...

image: Examples of the possible multimodal shapes of the probability density function of a new modified normal distribution view more Credit: Christophe Chesneau/University of Caen-Normandie As is ...

We derive an expression for the MGF under such conditions and apply it to derive the ABEP for one modulation example. Then, on the basis of several plotted graphs, an analysis of the action of ...

Some important properties of such processes are derived including the joint probability generating function for numbers of events in an interval of fixed length and the asymptotic behaviour of such ...

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

What is a probability distribution? A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes for a random variable.