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Independence after adaptive allocation

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  • Bélisle, Claude
  • Melfi, Vince

Abstract

We prove a general theorem which gives the distributional structure of the observations in a general randomized adaptive allocation setting. Various generalizations are discussed and a surprising counterexample is presented.

Suggested Citation

  • Bélisle, Claude & Melfi, Vince, 2008. "Independence after adaptive allocation," Statistics & Probability Letters, Elsevier, vol. 78(3), pages 214-224, February.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:3:p:214-224
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    References listed on IDEAS

    as
    1. Bai, Z. D. & Hu, Feifang & Shen, Liang, 2002. "An Adaptive Design for Multi-Arm Clinical Trials," Journal of Multivariate Analysis, Elsevier, vol. 81(1), pages 1-18, April.
    2. Rosenberger, William F. & Hu, Mingxiu, 2002. "On the use of generalized linear models following a sequential design," Statistics & Probability Letters, Elsevier, vol. 56(2), pages 155-161, January.
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    Cited by:

    1. Uttam Bandyopadhyay & Rahul Bhattacharya, 2009. "Response adaptive procedures with dual optimality," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(3), pages 353-367, August.
    2. Kock, Anders Bredahl & Preinerstorfer, David & Veliyev, Bezirgen, 2023. "Treatment recommendation with distributional targets," Journal of Econometrics, Elsevier, vol. 234(2), pages 624-646.

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