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On the full information best-choice problem. (English) Zbl 0871.60038
Summary: We introduce the optimal stopping problem of an infinite sequence of records associated with a planar Poisson process. This problem serves as a limiting form of the classical full information best-choice problem. A link between the finite problem and its limiting form is established via embedding $$n$$ i.i.d. observations into the planar process.

##### MSC:
 60G40 Stopping times; optimal stopping problems; gambling theory 60G70 Extreme value theory; extremal stochastic processes
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