Tomasz Bojdecki
Abstract
In this paper an optimal stopping problem is formulated, concerned with maximizing the probability of a certain event. Necessary and sufficient conditions for existence of an optimal stopping rule are obtained. The results are then applied to a version of the discrete-time “disorder problem”
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In this paper an optimal stopping problem is formulated, concerned with maximizing the probability of a certain event. Necessary and sufficient conditions for existence of an optimal stopping rule are obtained. The results are then applied to a version of the discrete-time “disorder problem”
Key concepts: Optimal stopping, Stopping rule, Mathematical optimization, Event (particle physics), Computer science, Stopping time, Mathematics, Statistics