Examples of random processes
Random Processes - Basis and applications

The Poisson process is an event process with temporal or spatial support. In the temporal case, its support is continuous time, the random variable is 0 or 1 (the event occurs or not), it is memoryless (the occurrence at time t is independent of the occurrence at any other time), and it is characterized by its generally time-dependent intensity λ(t) expressed, for example, in number (of event occurrences) per second.

As a first step, let's assume λ to be constant and divide time into equal periods of duration...