On-Line Selection of Alternating Subsequences from a Random Sample
Probability
2011-08-15 v2 Optimization and Control
Abstract
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.
Cite
@article{arxiv.1105.1558,
title = {On-Line Selection of Alternating Subsequences from a Random Sample},
author = {Alessandro Arlotto and Robert W. Chen and Lawrence A. Shepp and J. Michael Steele},
journal= {arXiv preprint arXiv:1105.1558},
year = {2011}
}