Course learning outcomes

After studying this course, you should be able to:

• use the standard notation for random processes and identify the time domain and the state space of a random process
• decide whether a process involving Bernoulli trials is a Bernoulli process
• define the random variables X (t), X (t1, t2), Tn and Wn for a point process and use this notation when calculating probabilities associated with point processes
• calculate probabilities associated with the Poisson process, the multivariate Poisson process and the non-homogeneous Poisson process
• use relevant tables to simulate the occurrences of events in a Poisson process and in a non-homogeneous Poisson process.