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Paper detail

On-Line Selection of Alternating Subsequences from a Random Sample

We consider sequential selection of an alternating subsequence from a sequence of independent, identically distributed, continuous random variables, and we determine the exact asymptotic behavior of an optimal sequentially selected subsequence. Moreover, we find (in a sense we make precise) that a person who is constrained to make sequential selections does only about 12% worse than a person who can make selections with full knowledge of the random sequence.

preprint2011arXivOpen access
Alessandro ArlottoRobert W. ChenLawrence A. SheppJ. Michael Steele
math.OCmath.PR
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Alessandro ArlottoRobert W. ChenLawrence A. SheppJ. Michael Steele

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