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Piecewise-deterministic Markov process : ウィキペディア英語版
Piecewise-deterministic Markov process
In probability theory, a piecewise-deterministic Markov process (PDMP) is a process whose behaviour is governed by random jumps at points in time, but whose evolution is deterministically governed by an ordinary differential equation between those times. The class of models is "wide enough to include as special cases virtually all the non-diffusion models of applied probability."〔 The process is defined by three quantities: the flow, the jump rate, and the transition measure.
The model was first introduced in a paper by Mark H. A. Davis in 1984.
==Examples==

Piecewise linear models such as Markov chains, continuous-time Markov chains, the M/G/1 queue, the GI/G/1 queue and the fluid queue can be encapsulated as PDMPs with simple differential equations.〔

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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