Simultaneous estimation of poisson means under exchangeable and independence models

作者: James H. Albert

DOI: 10.1080/00949658508810855

关键词: Contingency tableStatisticsInterval (mathematics)MathematicsPoisson regressionPoint (geometry)Poisson distributionIndependence (probability theory)A priori and a posterioriSimple (abstract algebra)

摘要: Consider two problems: (1) the simultaneous estimation of a number Poisson parameters when are believed priori to be exchangeable and (2) in two-way contingency table where classification variables independent. By use hierarchical prior distributions, simple new point interval estimates proposed for interest. The methods applied on home run data Ted Williams Joe DiMaggio.

参考文章(4)
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James H. Albert, Empirical bayes estimation of a set of binomial probabilities Journal of Statistical Computation and Simulation. ,vol. 20, pp. 129- 144 ,(1984) , 10.1080/00949658408810762
Tom Leonard, Bayesiam simultaneous estimation for several multinomial distributions Communications in Statistics-theory and Methods. ,vol. 6, pp. 619- 630 ,(1977) , 10.1080/03610927708827520
William H. Dumouchel, Jeffrey E. Harris, Bayes Methods for Combining the Results of Cancer Studies in Humans and other Species Journal of the American Statistical Association. ,vol. 78, pp. 293- 308 ,(1983) , 10.1080/01621459.1983.10477968