Stopping Rule
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A Stopping Rule is a rule for the conclusion of an optimal stopping task.
- Context:
- It can (often) be a Stopping Time.
- See: Optional Stopping Theorem, Stochastic Process, Random Variable, Almost Always, Decisioning Task.
References
2017
- (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Stopping_time Retrieved:2017-1-30.
- In probability theory, in particular in the study of stochastic processes, a stopping time (also Markov time) is a specific type of “random time”: a random variable whose value is interpreted as the time at which a given stochastic process exhibits a certain behavior of interest. A stopping time is often defined by a stopping rule, a mechanism for deciding whether to continue or stop a process on the basis of the present position and past events, and which will almost always lead to a decision to stop at some finite time.
Stopping times occur in decision theory, and the optional stopping theorem is an important result in this context. Stopping times are also frequently applied in mathematical proofs to “tame the continuum of time”, as Chung put it in his book (1982).
- In probability theory, in particular in the study of stochastic processes, a stopping time (also Markov time) is a specific type of “random time”: a random variable whose value is interpreted as the time at which a given stochastic process exhibits a certain behavior of interest. A stopping time is often defined by a stopping rule, a mechanism for deciding whether to continue or stop a process on the basis of the present position and past events, and which will almost always lead to a decision to stop at some finite time.