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The American Statistician Volume 56, 2002 - Issue 1
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Primary Article

The Mixture Approach for Simulating Bivariate Distributions With Specified Correlations

John R Michael John R. Michael is a Statistical Consultant in private practice, 7400 Gurney Drive, Plano, TX 75024 and a Research Professor, Department of Statistical Science, Southern Methodist University. William R. Schucany is Professor, Department of Statistical Science, Southern Methodist University, Dallas, TX 75275-0332.
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William R Schucany John R. Michael is a Statistical Consultant in private practice, 7400 Gurney Drive, Plano, TX 75024 and a Research Professor, Department of Statistical Science, Southern Methodist University. William R. Schucany is Professor, Department of Statistical Science, Southern Methodist University, Dallas, TX 75275-0332.
Pages 48-54 | Published online: 01 Jan 2012

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Larry Han, Andrea Arfè & Lorenzo Trippa. (2023) Sensitivity Analyses of Clinical Trial Designs: Selecting Scenarios and Summarizing Operating Characteristics. The American Statistician 0:0, pages 1-12.
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Ashis Sengupta & S. H. Ong. (2014) A Unified Approach for Construction of Probability Models for Bivariate Linear and Directional Data. Communications in Statistics - Theory and Methods 43:10-12, pages 2563-2569.
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Abu T. M. Minhajuddin, Ian R. Harris & William R. Schucany. (2004) Simulating multivariate distributions with specific correlations. Journal of Statistical Computation and Simulation 74:8, pages 599-607.
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Roseanne McNamee. (2017) How serious is bias in effect estimation in randomised trials with survival data given risk heterogeneity and informative censoring?. Statistics in Medicine 36:21, pages 3315-3333.
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Shane R. T. Smith & Tim Connallon. (2017) The contribution of the mitochondrial genome to sex‐specific fitness variance. Evolution 71:5, pages 1417-1424.
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Kaspar Rufibach, Meng Chen & Hoa Nguyen. (2016) Comparison of different clinical development plans for confirmatory subpopulation selection. Contemporary Clinical Trials 47, pages 78-84.
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Li-Ya Liu, Hao Yu, Jian-Ling Bai, Ping Zeng, Dan-Dan Miao & Feng Chen. (2015) Verification of the Correlation between Progression-free Survival and Overall Survival Considering Magnitudes of Survival Post-progression in the Treatment of Four Types of Cancer. Asian Pacific Journal of Cancer Prevention 16:3, pages 1001-1006.
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Tim Connallon & Andrew G Clark. (2014) Balancing Selection in Species with Separate Sexes: Insights from Fisher’s Geometric Model. Genetics 197:3, pages 991-1006.
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Tim Connallon & Andrew G. Clark. (2014) Evolutionary inevitability of sexual antagonism. Proceedings of the Royal Society B: Biological Sciences 281:1776, pages 20132123.
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Abu T. Minhajuddin & Sergio F. Juarez. (2013) Simulating select families of multivariate discrete variates with positive correlations. Wiley Interdisciplinary Reviews: Computational Statistics 5:5, pages 406-414.
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Vanja M. Dukic & Nevena Marić. (2013) Minimum correlation in construction of multivariate distributions. Physical Review E 87:3.
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Martin Jenkins, Andrew Stone & Christopher Jennison. (2010) An adaptive seamless phase II/III design for oncology trials with subpopulation selection using correlated survival endpoints†. Pharmaceutical Statistics 10:4, pages 347-356.
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Chin Diew Lai & N. BalakrishnanN. Balakrishna & Chin Diew Lai. 2009. Continuous Bivariate Distributions. Continuous Bivariate Distributions 623 653 .
Simon Rosenfeld. (2008) Approximate bivariate gamma generator with prespecified correlation and different marginal shapes. ACM Transactions on Modeling and Computer Simulation 18:4, pages 1-20.
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Steen Magnussen. (2004) An algorithm for generating positively correlated Beta-distributed random variables with known marginal distributions and a specified correlation. Computational Statistics & Data Analysis 46:2, pages 397-406.
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