On-Line Selection of Alternating Subsequences from a Random Sample

Details On-Line Selection of Alternating Subsequences from a Random Sample On-Line Selection of Alternating Subsequences from a Random Sample

2011-05-08

arxiv.org/abs/1105.1558v2

Journal of Applied Probability 48 (4), December 2011

Mathematics

Probability

Scientific paper

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.

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