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Modelling events in time
Modelling events in time

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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.