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2 results

  • Randomly Reinforced Urn Designs with Prespecified Allocations

  • Part of
  • Giacomo Aletti, Andrea Ghiglietti, Anna Maria Paganoni
  • Journal:
    Journal of Applied Probability / Volume 50 / Issue 2 / June 2013
    Published online by Cambridge University Press:
    30 January 2018, pp. 486-498
    Print publication:
    June 2013
    • Article
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  • We construct a response adaptive design, described in terms of a two-color urn model, targeting fixed asymptotic allocations. We prove asymptotic results for the process of colors generated by the urn and for the process of its compositions. An application of the proposed urn model is presented in an estimation problem context.

  • Which design is better? Ehrenfest urn versus biased coin

  • Part of
  • Yung-Pin Chen
  • Journal:
    Advances in Applied Probability / Volume 32 / Issue 3 / September 2000
    Published online by Cambridge University Press:
    19 February 2016, pp. 738-749
    Print publication:
    September 2000

  • Two features are desired in designing a sequential clinical trial: randomness and balance. The former makes the ground for valid statistical inferences and the latter strengthens efficiency in inference procedures. Unfortunately randomness and balance can be in conflict with one another, and clinicians may be caught between the need for both of them. This paper raises an interesting question: can one design consistently achieve more balance than another when both designs own the same randomness? The Ehrenfest urn design is presented to allocate two treatments under a sequential clinical trial, and its balance and randomness properties are investigated. The design is compared with the biased coin design with imbalance tolerance.