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Asymptotic results for a generalized Po'lya urn with delay and an applications to clinical trials

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  • Irene Crimanldi

    (Department of Mathematics, University of Bologna, Italy)

  • Fabrizio Leisen

    (Department of Economics, University of Insubria, Italy)

Abstract

In this paper a new Po'lya urn model is introduced and studied; in particular, a strong law of large numbers and two central limit theorems are proven. This urn generalizes a model studied in Berti et al. (2004), May et al. (2005) and in Crimaldi (2007) and it has natural applications in clinical trials. Indeed, the model include both delayed and missing (or null) responses. Moreover, a connection with the conditional identity in distribution of Berti et al. (2004) is given.

Suggested Citation

  • Irene Crimanldi & Fabrizio Leisen, 2007. "Asymptotic results for a generalized Po'lya urn with delay and an applications to clinical trials," Economics and Quantitative Methods qf0705, Department of Economics, University of Insubria.
    • Handle: RePEc:ins:quaeco:qf0705
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    File URL: https://www.eco.uninsubria.it/RePEc/pdf/QF2007_5.pdf
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    References listed on IDEAS

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    1. Caterina May & Anna Maria Paganoni & Piercesare Secchi, 2005. "On a two-color generalized Polya urn," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 115-134.
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