Journal of the Korean Statistical Society

  • 제34권4호
  • /
  • Pages.331-344
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  • 2005
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  • 1226-3192(pISSN)
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  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

BAYESIAN INFERENCE FOR THE POWER LAW PROCESS WITH THE POWER PRIOR

  • KIM HYUNSOO (Division of Applied Mathematics, Hanyang University) ;
  • CHOI SANGA (Department of Mathematics, Ajou University) ;
  • KIM SEONG W. (Division of Applied Mathematics, Hanyang University)
  • 발행 : 2005.12.01
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초록

Inference on current data could be more reliable if there exist similar data based on previous studies. Ibrahim and Chen (2000) utilize these data to characterize the power prior. The power prior is constructed by raising the likelihood function of the historical data to the power $a_o$, where $0\;{\le}\;a_o\;{\le}\;1$. The power prior is a useful informative prior in Bayesian inference. However, for model selection or model comparison problems, the propriety of the power prior is one of the critical issues. In this paper, we suggest two joint power priors for the power law process and show that they are proper under some conditions. We demonstrate our results with a real dataset and some simulated datasets.

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참고문헌

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