The process algebra HYPE was recently proposed as a fine-grained modelling approach for capturing
the behaviour of hybrid systems. In the original proposal, the semantics of HYPE was defined in
terms of (non)deterministic hybrid systems. Here we extend the language adding stochastic events,
hence obtaining a semantics in terms of Transition Driven Stochastic Hybrid Automata, a subset of a
general class of stochastic process termed Piecewise Deterministic Markov Processes. The definition
of stochastic HYPE is discussed by means of an example of a delay tolerant network.
