Journal of the Korean Data and Information Science Society
- Volume 15 Issue 1
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- Pages.59-74
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- 2004
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- 1598-9402(pISSN)
Developing Noninformative Priors for the Common Mean of Several Normal Populations
- Kim, Yeong-Hwa (Department of Statistics, Chung-Ang University) ;
- Sohn, Eun-Seon (Department of Statistics, Chung-Ang University)
- Published : 2004.02.28
Abstract
The paper considers the Bayesian interval estimation for the common mean of several normal populations. A Bayesian procedure is proposed based on the idea of matching asymptotically the coverage probabilities of Bayesian credible intervals with their frequentist counterparts. Several frequentist procedures based on pivots and P-values are introduced and compared with Bayesian procedure through simulation study. Both simulation results demonstrate that the Bayesian procedure performs as well or better than any available frequentist procedure even from a frequentist perspective.
Keywords
- Coverage probability;
- Fisher's method;
- inverse normal method;
- Jeffreys' prior;
- logit method;
- matching priors;
- reference priors