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- Robbins'_problem abstract "In probability theory, Robbins' problem of optimal stopping, named after Herbert Robbins, is sometimes referred to as the fourth secretary problem or the problem of minimizing the expected rank with full information. Its statement is as follows.Let X1, ... , Xn be independent, identically distributed random variables, uniform on [0, 1]. We observe the Xk's sequentially and must stop on exactly one of them. No recall of preceding observations is permitted. What stopping rule minimizes the expected rank of the selected observation, and what is its corresponding value?The general solution to this full-information expected rank problem is unknown. The major difficulty is that the problem is fully history-dependent, that is, the optimal rule depends at every stage on all preceding values, and not only on simpler sufficient statistics of these. Only bounds are known for the limiting value v as n goes to infinity, namely 1.908 < v < 2.329.</sub> It is known that there is some room to improve the lower bound by further computations for a truncated version of the problem. It is still not known how to improve on the upper bound which stems from the subclass of memoryless threshold rules.".
- Robbins'_problem wikiPageExternalLink ?aModele=afficheN&cpsidt=3259597.
- Robbins'_problem wikiPageExternalLink 1110381374.
- Robbins'_problem wikiPageID "18617781".
- Robbins'_problem wikiPageRevisionID "606680123".
- Robbins'_problem hasPhotoCollection Robbins'_problem.
- Robbins'_problem subject Category:Mathematical_optimization.
- Robbins'_problem comment "In probability theory, Robbins' problem of optimal stopping, named after Herbert Robbins, is sometimes referred to as the fourth secretary problem or the problem of minimizing the expected rank with full information. Its statement is as follows.Let X1, ... , Xn be independent, identically distributed random variables, uniform on [0, 1]. We observe the Xk's sequentially and must stop on exactly one of them. No recall of preceding observations is permitted.".
- Robbins'_problem label "Robbins' problem".
- Robbins'_problem sameAs m.04gmx1h.
- Robbins'_problem sameAs Q7341042.
- Robbins'_problem sameAs Q7341042.
- Robbins'_problem wasDerivedFrom Robbins'_problem?oldid=606680123.
- Robbins'_problem isPrimaryTopicOf Robbins'_problem.