Publications [#319306] of Alessandro Arlotto

Papers Published

1. Arlotto, A; Chen, RW; Shepp, LA; Steele, JM, Online Selection of Alternating Subsequences from a Random Sample, Journal of Applied Probability, vol. 48 no. 4 (December, 2011), pp. 1114-1132, Cambridge University Press (CUP) [doi]
   (last updated on 2023/06/01)

   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 percent worse than a person who can make selections with full knowledge of the random sequence.