What is Known About Robbins' Problem?

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چکیده

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What Is Known about Robbins’ Problem?

Let X1, X2, . . . , Xn be independent, identically distributed random variables, uniform on [0, 1]. We observe the Xk sequentially and must stop on exactly one of them. No recollection of the preceding observations is permitted. What stopping rule τ minimizes the expected rank of the selected observation? This full-information expected-rank problem is known as Robbins’ problem. The general solu...

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ژورنال

عنوان ژورنال: Journal of Applied Probability

سال: 2005

ISSN: 0021-9002,1475-6072

DOI: 10.1239/jap/1110381374