Modelling sequential events for risk, safety and maintenance assessments

Assessing the Occurrence Probability of a given sequence of events in a determined order is necessary in many scientific fields. That is the case in the following fields: nucleation and microstructure growth in materials, Narrow-Band process, financial risk analysis, Sequential detection theory, rainfall modelling, in optics to model the sequences of photoelectrons under detection, population biology, software reliability, queuing in network traffic exhibiting long-range dependence behaviour, and DNA sequences and gene time expression modelling. However, the topic has a particular interest in the field of risk, safety and maintenance assessments. The lecture will focus on sequences composed of Double Stochastic Poisson Processes.