Minimising the time to a decision

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Jacka, Saul D. ; Warren, Jon ; Windridge, Peter (2011)
  • Publisher: University of Warwick. Centre for Research in Statistical Methodology
  • Subject: QA

Suppose we have three independent copies of a regular diffusion on [0,1] with\ud absorbing boundaries. Of these diffusions, either at least two are absorbed at the\ud upper boundary or at least two at the lower boundary. In this way, they determine\ud a majority decision between 0 and 1. We show that the strategy that always runs\ud the diffusion whose value is currently between the other two reveals the majority\ud decision whilst minimising the total time spent running the processes.
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