Propriety of the Posterior Distribution and Existence of the MLE for Regression Models With Covariates Missing at Random

Ming-Hui Chen Ming-Hui Chen is Associate Professor, Department of Statistics, University of Connecticut, 215 Glenbrook Road, U-4120, Storrs, CT 06269-4120 . Joseph G. Ibrahim is Professor, Department of Biostatistics, University of North Carolina, McGavran-Greenberg Hall, Chapel Hill, NC 27599 . Qi-Man Shao is Associate Professor, Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, and Professor, Department of Mathematics, Department of Statistics and Applied Probability, National University of Singapore, Singapore 117543 . The authors thank the editor, associate editor, and three referees for several suggestions that have greatly improved the paper. Dr. Chen and Dr. Ibrahim's research was supported in part by NIH grants CA 70101 and CA 74015. Dr. Shao's research was supported in part by NSF grant DMS-01-03487 and grants R-146-000-038-101 and R-1555-000-035-112 at the National University of Singapore.

Joseph G Ibrahim Ming-Hui Chen is Associate Professor, Department of Statistics, University of Connecticut, 215 Glenbrook Road, U-4120, Storrs, CT 06269-4120 . Joseph G. Ibrahim is Professor, Department of Biostatistics, University of North Carolina, McGavran-Greenberg Hall, Chapel Hill, NC 27599 . Qi-Man Shao is Associate Professor, Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, and Professor, Department of Mathematics, Department of Statistics and Applied Probability, National University of Singapore, Singapore 117543 . The authors thank the editor, associate editor, and three referees for several suggestions that have greatly improved the paper. Dr. Chen and Dr. Ibrahim's research was supported in part by NIH grants CA 70101 and CA 74015. Dr. Shao's research was supported in part by NSF grant DMS-01-03487 and grants R-146-000-038-101 and R-1555-000-035-112 at the National University of Singapore.

Qi-Man Shao Ming-Hui Chen is Associate Professor, Department of Statistics, University of Connecticut, 215 Glenbrook Road, U-4120, Storrs, CT 06269-4120 . Joseph G. Ibrahim is Professor, Department of Biostatistics, University of North Carolina, McGavran-Greenberg Hall, Chapel Hill, NC 27599 . Qi-Man Shao is Associate Professor, Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, and Professor, Department of Mathematics, Department of Statistics and Applied Probability, National University of Singapore, Singapore 117543 . The authors thank the editor, associate editor, and three referees for several suggestions that have greatly improved the paper. Dr. Chen and Dr. Ibrahim's research was supported in part by NIH grants CA 70101 and CA 74015. Dr. Shao's research was supported in part by NSF grant DMS-01-03487 and grants R-146-000-038-101 and R-1555-000-035-112 at the National University of Singapore.

Propriety of the Posterior Distribution and Existence of the MLE for Regression Models With Covariates Missing at Random

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Propriety of the Posterior Distribution and Existence of the MLE for Regression Models With Covariates Missing at Random

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