Telegraph process
Memoryless continuous-time stochastic process that shows two distinct values / From Wikipedia, the free encyclopedia
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In probability theory, the telegraph process is a memoryless continuous-time stochastic process that shows two distinct values. It models burst noise (also called popcorn noise or random telegraph signal). If the two possible values that a random variable can take are and , then the process can be described by the following master equations:
and
where is the transition rate for going from state to state and is the transition rate for going from going from state to state . The process is also known under the names Kac process (after mathematician Mark Kac),[1] and dichotomous random process.[2]