The intensity function, often denoted as $\\lambda(t)$, describes the instantaneous rate of occurrence of events in a stochastic process, particularly in the context of point processes like Poisson processes. It provides a measure of how the expected number of events changes over time, helping to identify patterns or trends in event occurrences. In Poisson processes, this function is constant for homogeneous processes, while for non-homogeneous processes, it varies with time, indicating a changing rate of event occurrence.
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