DOI QR코드

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A Study on the Role of Pivots in Bayesian Statistics

  • 발행 : 2002.04.01

초록

The concept of pivot has been widely used in various classical inferences. In this paper, it is proved by use of pivotal quantities that the Bayesian inferences can be arrived at the same results of classical inferences for the location-scale parameters models under the assumption of non-informative prior distributions. Some theorems are proposed in which the posterior distribution and the sampling distribution of a pivotal quantity coincide. The theorems are applied illustratively to some statistical models.

키워드

참고문헌

  1. Introduction to Probabilty and Mathematical Statistics Bain, L.J.;Engelhardt, M.
  2. Bayesian inference in statistical analysis Box, G.E.P.;Tiao, G.C.
  3. The Korean Communications in Statistics A Bayesian hypothesis testing procedure processing the concept of significance level Hwang, H.T.
  4. Bayesian Statistics: on Introduction Lee, P.M.

피인용 문헌

  1. A Study on Bayesian p-values vol.9, pp.3, 2002, https://doi.org/10.5351/CKSS.2002.9.3.725
  2. A Bayesian Approach to Finite Population Sampling Using the Concept of Pivotal Quantity vol.10, pp.3, 2003, https://doi.org/10.5351/CKSS.2003.10.3.647
  3. On limiting posterior distributions vol.14, pp.2, 2005, https://doi.org/10.1007/BF02595418