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Sequential Analysis
Design Methods and Applications
Volume 21, 2002 - Issue 1-2
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Original Articles

RANDOMIZED URN MODELS AND SEQUENTIAL DESIGN

William F. Rosenberger Department of Mathematics and Statistics, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD, 21250, U.S.A.
Pages 1-28 | Received 01 Mar 2001, Published online: 16 Aug 2006

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Annalisa V. Piccorelli & Sarah A. Fraker. (2018) Balancing statistical and ethical considerations in planning clinical trials: recommendations for response-adaptive randomization urn designs. Journal of Biopharmaceutical Statistics 28:6, pages 1105-1118.
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WilliamF. Rosenberger, Oleksandr Sverdlov & Feifang Hu. (2012) Adaptive Randomization for Clinical Trials. Journal of Biopharmaceutical Statistics 22:4, pages 719-736.
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Feifang Hu & William F Rosenberger. (2003) Optimality, Variability, Power. Journal of the American Statistical Association 98:463, pages 671-678.
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Articles from other publishers (44)

Irene Crimaldi, Pierre-Yves Louis & Ida G. Minelli. (2023) Statistical test for an urn model with random multidrawing and random addition. Stochastic Processes and their Applications 158, pages 342-360.
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Marta Bonsaglio, Sandra Fortini, Steffen Ventz & Lorenzo Trippa. (2022) Approximating the operating characteristics of Bayesian Uncertainty directed trial Designs. Journal of Statistical Planning and Inference 221, pages 90-99.
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Vance W. Berger, Louis Joseph Bour, Kerstine Carter, Jonathan J. Chipman, Colin C. Everett, Nicole Heussen, Catherine Hewitt, Ralf-Dieter Hilgers, Yuqun Abigail Luo, Jone Renteria, Yevgen Ryeznik, Oleksandr Sverdlov, Diane Uschner & Robert A Beckman. (2021) A roadmap to using randomization in clinical trials. BMC Medical Research Methodology 21:1.
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Andrea Ghiglietti & Anna Maria Paganoni. (2015) An urn model to construct an efficient test procedure for response adaptive designs. Statistical Methods & Applications 25:2, pages 211-226.
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Linda M. Haines & Hassan Sadiq. (2015) Start-up designs for response-adaptive randomization procedures with sequential estimation. Statistics in Medicine 34:21, pages 2958-2970.
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Mashail M. Al-Sobhi, Zawar Hussain & Bander Al-Zahrani. (2014) General Randomized Response Techniques Using Polya's Urn Process as a Randomization Device. PLoS ONE 9:12, pages e115612.
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Mike D. Smith. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
D.Stephen Coad. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Mike D. Smith. 2014. Methods and Applications of Statistics in Clinical Trials. Methods and Applications of Statistics in Clinical Trials 90 105 .
Li-Xin Zhang, Feifang Hu, Siu Hung Cheung & Wai Sum Chan. (2016) Asymptotic Properties of Multicolor Randomly Reinforced Pólya Urns. Advances in Applied Probability 46:2, pages 585-602.
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Andrea Ghiglietti & Anna Maria Paganoni. (2014) Statistical properties of two-color randomly reinforced urn design targeting fixed allocations. Electronic Journal of Statistics 8:1.
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Giacomo Aletti, Andrea Ghiglietti & Anna Maria Paganoni. (2018) Randomly Reinforced Urn Designs with Prespecified Allocations. Journal of Applied Probability 50:2, pages 486-498.
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Giacomo Aletti, Andrea Ghiglietti & Anna Maria Paganoni. (2016) Randomly Reinforced Urn Designs with Prespecified Allocations. Journal of Applied Probability 50:02, pages 486-498.
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Andrea Ghiglietti & Anna Maria Paganoni. 2013. mODa 10 – Advances in Model-Oriented Design and Analysis. mODa 10 – Advances in Model-Oriented Design and Analysis 99 106 .
Feifang Hu & Anastasia Ivanova. 2012. Encyclopedia of Biopharmaceutical Statistics, Third Edition. Encyclopedia of Biopharmaceutical Statistics, Third Edition 1157 1161 .
Nancy Flournoy, Caterina May & Piercesare Secchi. (2012) Asymptotically Optimal Response‐Adaptive Designs for Allocating the Best Treatment: An Overview. International Statistical Review 80:2, pages 293-305.
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Ellyn E. Matthews, Paul F. Cook, Masaka Terada & Mark S. Aloia. (2010) Randomizing research participants: Promoting balance and concealment in small samples. Research in Nursing & Health 33:3, pages 243-253.
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Shein-Chung ChowFeifang Hu & Anastasia Ivanova. 2010. Encyclopedia of Biopharmaceutical Statistics. Encyclopedia of Biopharmaceutical Statistics 1157 1161 .
Nancy Flournoy, Caterina May, Jose A. Moler & Fernando Plo. 2010. mODa 9 – Advances in Model-Oriented Design and Analysis. mODa 9 – Advances in Model-Oriented Design and Analysis 81 88 .
Caterina May & Nancy Flournoy. (2009) Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn. The Annals of Statistics 37:2.
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Yuanyuan Liang & Kimmie Chough Carriere. (2008) Stratified and randomized play-the-winner rule. Statistical Methods in Medical Research 17:6, pages 581-593.
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Feifang Hu, Li‐Xin Zhang, Siu H. Cheung & Wai S. Chan. (2010) Doubly adaptive biased coin designs with delayed responses. Canadian Journal of Statistics 36:4, pages 541-559.
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D.Stephen Coad. 2007. Wiley Encyclopedia of Clinical Trials. Wiley Encyclopedia of Clinical Trials.
Alessandro Baldi Antognini, Paola Bortot & Alessandra Giovagnoli. (2006) Randomized group up and down experiments. Annals of the Institute of Statistical Mathematics 60:1, pages 45-59.
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Mike D. Smith. 2007. Wiley Encyclopedia of Clinical Trials. Wiley Encyclopedia of Clinical Trials.
José Antonio Moler, Fernando Plo & Miguel San Miguel. (2007) A sequential design for a clinical trial with a linear prognostic factor. Journal of Statistical Planning and Inference 137:12, pages 3964-3974.
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Anna Maria Paganoni & Piercesare Secchi. (2007) A numerical study for comparing two response-adaptive designs for continuous treatment effects. Statistical Methods and Applications 16:3, pages 321-346.
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Alessandro Baldi Antognini & Simone Giannerini. (2016) Generalized Pólya urn Designs with Null Balance. Journal of Applied Probability 44:3, pages 661-669.
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Giacomo Aletti, Caterina May & Piercesare Secchi. (2016) On the distribution of the limit proportion for a two-color, randomly reinforced urn with equal reinforcement distributions. Advances in Applied Probability 39:3, pages 690-707.
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Alessandro Baldi Antognini & Simone Giannerini. (2016) Generalized Pólya urn Designs with Null Balance. Journal of Applied Probability 44:03, pages 661-669.
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Caroline C. Morgan & D. Stephen Coad. (2007) A comparison of adaptive allocation rules for group-sequential binary response clinical trials. Statistics in Medicine 26:9, pages 1937-1954.
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I. Higueras, J. Moler, F. Plo & M. San Miguel. (2016) Central limit theorems for generalized Pólya urn models. Journal of Applied Probability 43:4, pages 938-951.
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I. Higueras, J. Moler, F. Plo & M. San Miguel. (2016) Central limit theorems for generalized Pólya urn models. Journal of Applied Probability 43:04, pages 938-951.
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José A. Moler, Fernando Plo & Miguel San Miguel. (2006) An adaptive design for clinical trials with non-dichotomous response and prognostic factors. Statistics & Probability Letters 76:17, pages 1940-1946.
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Pietro Muliere, Anna Maria Paganoni & Piercesare Secchi. (2006) A randomly reinforced urn. Journal of Statistical Planning and Inference 136:6, pages 1853-1874.
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Anastasia Ivanova. (2006) Urn designs with immigration: Useful connection with continuous time stochastic processes. Journal of Statistical Planning and Inference 136:6, pages 1836-1844.
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Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonMike D. Smith. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences 1 14 .
Samuel Kotz, Campbell B. Read, N. Balakrishnan, Brani Vidakovic & Norman L. JohnsonMike D. Smith. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences 1 14 .
D. Stephen Coad & Anastasia Ivanova. (2005) Sequential urn designs with elimination for comparingK3 treatments. Statistics in Medicine 24:13, pages 1995-2009.
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José A. Moler, Fernando Plo & Miguel San Miguel. (2005) Adaptive designs and Robbins–Monro algorithm. Journal of Statistical Planning and Inference 131:1, pages 161-174.
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Zhi-Dong Bai & Feifang Hu. (2005) Asymptotics in randomized urn models. The Annals of Applied Probability 15:1B.
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Feifang Hu & Li-Xin Zhang. (2004) Asymptotic normality of urn models for clinical trials with delayed response. Bernoulli 10:3.
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Feifang Hu & Li-Xin Zhang. (2004) Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials. The Annals of Statistics 32:1.
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A. Baldi Antognini. 2004. mODa 7 — Advances in Model-Oriented Design and Analysis. mODa 7 — Advances in Model-Oriented Design and Analysis 23 31 .

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