Bayes estimators of ratios of proportions between tree-structured experiments

Bibliography

• Dennis , S.Y. 1991 . On the hyper-Dirichlet type 1 and hyper-Liouville distributions . Communications in Statistics: Theory and Methods , 20 ( 12 ) : 4069 – 4081 .
   Web of Science ®Google Scholar
• Dennis , S.Y. 1994 . On the distribution of products of independent beta variates . Communications in Statistics: Theory and Methods , 23 ( 7 ) : 1895 – 1914 .
   Web of Science ®Google Scholar
• Dennis , S.Y. 1996 . A Bayesian analysis of tree-structured statistical decision problems . Journal of Statistical Planning and Inference , 53 ( 7 ) : 323 – 344 .
   Google Scholar
• Erdélyi , A. , Magnus , W. and Tricomi , F.G. 1955 . Higher Transcendental Functions (Bateman Manuscript) , Vol. 1 , New York : McGraw-Hill Book .
   Google Scholar
• Fan , D.Y. 1991 . The distribution of the product of independent beta variables . Communications in Statistics: Theory and Methods , 20 : 4043 – 4052 .
   Web of Science ®Google Scholar
• Hartigan , J.A. 1983 . Bayes Theory , New York : Springer-Verlag .
   Google Scholar
• Johnson , N.L. and Kotz , S. 1972 . Distributions in Statistics, Continuous Multi-variate Distributions , New York : John Wiley and Sons .
   Google Scholar
• Johnson , N.L. , Kotz , S. and Balakrishnan , N. 1995 . Distributions in Statistics, Continuous Univariate Distributions , Vol. 2 , New York : John Wiley and Sons .
   Google Scholar
• Mathai , A.M. 1971 . An expansion of Meijer's G-function and the distribution of the products of independent beta variates . South African Journal of Statistics , 3 : 71 – 90 .
   Google Scholar
• Springer , M.D. and Thompson , W.E. 1966 . The distribution of products of beta, gamma, and Guassian random variables . SIAM Journal of Applied Mathematics , 18 ( 4 ) : 511 – 526 .
   Google Scholar
• Springer , M.D. 1979 . The Algebra of Random Variables , New York : John Wiley and Son .
   Google Scholar
• Whittaker , E.T. and Watson , G.N. 1927 . A Course of Modern Analysis , London : Cambridge University Press .
   Google Scholar
• Wolfram , S. 1996 . Mathematica: A System for Doing Mathematics by Computer , Redwood City, CA : Addison-Wesley Publishing .
   Google Scholar