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Finding the maximum with linear error probabilities: a sequential analysis approach

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STACS 95 (STACS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 900))

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Abstract

Assume that n players are represented by n reals, uniformly distributed over the unit interval.

We assume that the error probability of a comparison game between two players depends linearly on the distance between the players. Using sequential analysis approach, we present an algorithm to estimate the maximum ξ of the players with an error less than ε.

Mean cost, variance and centered moments generating function are analyzed.

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Authors and Affiliations

  1. Département d'Informatique, Université Libre de Bruxelles, Boulevard du Triomphe CP 212, B-1050, Bruxelles, Belgique

    Guy Louchard

Authors
  1. Guy Louchard
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Editor information

Ernst W. Mayr Claude Puech

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© 1995 Springer-Verlag Berlin Heidelberg

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Louchard, G. (1995). Finding the maximum with linear error probabilities: a sequential analysis approach. In: Mayr, E.W., Puech, C. (eds) STACS 95. STACS 1995. Lecture Notes in Computer Science, vol 900. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59042-0_58

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  • DOI: https://doi.org/10.1007/3-540-59042-0_58

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59042-2

  • Online ISBN: 978-3-540-49175-0

  • eBook Packages: Springer Book Archive

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