Simultaneous estimation of gamma means using a hierarchical generalized linear model

作者: Patricia A. Pepple

DOI: 10.1080/03610928908829937

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摘要: The problem of simultaneously estimating p Gamma means is investigated when the are believed a priori to satisfy an r-dimensional generalized linear model. Using Bayesian hierarchical model reflect uncertainty in model, approximate methods proposed compute posterior densities. resulting estimator shrinks usual toward prior where size shrinkage depends upon agreement observed data with

参考文章(16)
D. V. Lindley, A. F. M. Smith, Bayes Estimates for the Linear Model Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 34, pp. 1- 18 ,(1972) , 10.1111/J.2517-6161.1972.TB00885.X
Peter McCullagh, John Ashworth Nelder, Generalized Linear Models ,(1983)
James H. Albert, Computational Methods Using a Bayesian Hierarchical Generalized Linear Model Journal of the American Statistical Association. ,vol. 83, pp. 1037- 1044 ,(1988) , 10.1080/01621459.1988.10478698
Annette J. Dobson, Introduction to Statistical Modelling ,(1983)
James H. Albert, Simultaneous estimation of poisson means under exchangeable and independence models Journal of Statistical Computation and Simulation. ,vol. 23, pp. 1- 14 ,(1985) , 10.1080/00949658508810855
Tom Leonard, Melvin R. Novick, Bayesian Full Rank Marginalization for Two-Way Contingency Tables. Journal of Educational and Behavioral Statistics. ,vol. 11, pp. 33- 56 ,(1986) , 10.3102/10769986011001033
Luke Tierney, Joseph B. Kadane, Accurate Approximations for Posterior Moments and Marginal Densities Journal of the American Statistical Association. ,vol. 81, pp. 82- 86 ,(1986) , 10.1080/01621459.1986.10478240
Patricia A. Pepple, Bayesian testing of an exponential point null hypothesis Communications in Statistics-theory and Methods. ,vol. 17, pp. 3483- 3503 ,(1988) , 10.1080/03610928808829816
N. W. Barker, T. B. Magath, M. Hurn, The determination of prothrombin time following the administration of dicumarol, 3,3'-methylenebis (4-hydroxyconmarin), " with special reference to thromboplastin. Journal of Laboratory and Clinical Medicine. ,vol. 30, pp. 432- 447 ,(1945)