Publications [#330139] of Alessandro Arlotto

Papers Published

1. Arlotto, A; Steele, JM, Optimal Online Selection of an Alternating Subsequence: A Central Limit Theorem, Advances in Applied Probability, vol. 46 no. 2 (June, 2014), pp. 536-559, Cambridge University Press (CUP) [doi]
   (last updated on 2023/06/01)

   Abstract:
   We analyze the optimal policy for the sequential selection of an alternating subsequence from a sequence ofnindependent observations from a continuous distributionF, and we prove a central limit theorem for the number of selections made by that policy. The proof exploits the backward recursion of dynamic programming and assembles a detailed understanding of the associated value functions and selection rules.