%0 Journal Article
%T On-Line Selection of Alternating Subsequences from a Random Sample
%A Alessandro Arlotto
%A Robert W. Chen
%A Lawrence A. Shepp
%A J. Michael Steele
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1105.1558v2