Bayesian Fixed Sample Size Procedure for Selecting the Better of Two Poisson Populations With General Loss Function
DOI:
https://doi.org/10.31642/JoKMC/2018/010604Keywords:
selection procedure, Bayesian decision theoretic, Bayes riskAbstract
In this paper an optimal (Bayesian) fixed sample size procedure for selecting the better of two Poisson populations is proposed and studied . Bayesian decision-theoretic approach with general loss function and Gamma priors are used to construct this procedure .
The numerical result of this procedure are given with different loss functions constant , linear and quadratic , in one equation we can obtain the Bayes risk for the three types of the loss functions : constant , linear and quadratic . in this paper the numerical results are given by using Math Works Matlab ver. 7.10.0 .
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References
-Alam , k. and Thomson , J.R.(1973) . A DOI: https://doi.org/10.2307/1443087
problem of ranking and estimation with
Poisson processes . Technometris 15,801-801
.
-Goel . e.k. (1972) . A note on the nonexistence
of subset selection procedure for
Poisson populations . Mimeo . ser .No.303 ,
Dept. of statistics , Purdue University , West
Lafayette , Indiana 47907 .
- Gupta , S.S. and Nagel , k. (1971) . On some
contributions to multiple decision theory,
statistical decision theory and related topics
(S.S. Gupta and J.Yackel , eds.) , Academic
press , New York , 79-102 .
-Gupta , S.S. and Huang , D-y (1975) . On
subset selection procedures for Poisson
populations and some applications to the
multinomial selection problems . Applied
statistics (R.P. Gupta , ed.), North Holland ,
Amsterdam , 97-109 .
-Gupta , S.S. and Panchapakesan , S. (1979).
Multiple decision procedures : Thery and
methodology of selecting and ranking
populations . John Wiley and sons , New
York .
-Gupta , S.S. and Liang , T.C. (1991) . On
Empircal Bayes selection procedures .
Technical report No. 91-59C . Dept .of
statistics , Purdue University . West Lafayett
.
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Copyright (c) 2014 Samira Faisal Hathoot
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