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29 March 2024
 
  » arxiv » 1105.1558

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On-Line Selection of Alternating Subsequences from a Random Sample
Alessandro Arlotto ; Robert W. Chen ; Lawrence A. Shepp ; J. Michael Steele ;
Date 9 May 2011
AbstractWe 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 17 percent worse than a person who can make selections with full knowledge of the random sequence.
Source arXiv, 1105.1558
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