Optimal online selection of an alternating subsequence: a central limit theorem. Arlotto, A. & Steele, J. M. Advances in Applied Probability, 46(2):536–559, June, 2014.
Optimal online selection of an alternating subsequence: a central limit theorem [link]Paper  bibtex   
@Article{Arlotto:2014:OOS,
  author =       "Alessandro Arlotto and J. Michael Steele",
  title =        "Optimal online selection of an alternating
                 subsequence: a central limit theorem",
  journal =      j-ADV-APPL-PROB,
  volume =       "46",
  number =       "2",
  pages =        "536--559",
  month =        jun,
  year =         "2014",
  CODEN =        "AAPBBD",
  ISSN =         "0001-8678 (print), 1475-6064 (electronic)",
  ISSN-L =       "0001-8678",
  bibdate =      "Tue Feb 10 08:47:26 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/advapplprob.bib",
  URL =          "http://projecteuclid.org/euclid.aap/1401369706",
  acknowledgement = ack-nhfb,
  ajournal =     "Adv. Appl. Probab.",
  fjournal =     "Advances in Applied Probability",
  journal-URL =  "http://www.jstor.org/journals/00018678.html;
                 https://www.cambridge.org/core/journals/advances-in-applied-probability;
                 http://projecteuclid.org/euclid.aap/",
}

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