• 제목/요약/키워드: reference priors

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Intrinsic Priors for Testing Two Lognormal Means with the Fractional Bayes Factor

  • 문경애
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2003년도 추계학술대회
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    • pp.39-47
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    • 2003
  • The Bayes factors with improper noninformative priors are defined only up to arbitrary constants. So, it is known that Bayes factors are not well defined due to this arbitrariness in Bayesian hypothesis testing and model selections. The intrinsic Bayes factor by Berger and Pericchi (1996) and the fractional Bayes factor by O'Hagan (1995) have been used to overcome this problems. This paper suggests intrinsic priors for testing the equality of two lognormal means, whose Bayes factors are asymptotically equivalent to the corresponding fractional Bayes factors. Using proposed intrinsic priors, we demonstrate our results with a simulated dataset.

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Noninformative Priors in Freund's Bivariate Exponential Distribution : Symmetry Case

  • 조장식;백승욱;김희재
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.235-242
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    • 2002
  • In this paper, we develop noninformative priors that are used for estimating the ratio of failure rates under Freund's bivariate exponential distribution. A class of priors is found by matching the coverage probabilities of one-sided Baysian credible interval with the corresponding frequentist coverage probabilities. Also the propriety of posterior under the noninformative priors is proved and the frequentist coverage probabilities are investigated for small samples via simulation study.

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Intrinsic Priors for Testing Two Lognormal Populations with the Fractional Bayes Factor

  • Moon, Gyoung-Ae
    • Journal of the Korean Data and Information Science Society
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    • 제14권3호
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    • pp.661-671
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    • 2003
  • The Bayes factors with improper noninformative priors are defined only up to arbitrary constants. So, it is known that Bayes factors are not well defined due to this arbitrariness in Bayesian hypothesis testing and model selections. The intrinsic Bayes factor by Berger and Pericchi (1996) and the fractional Bayes factor by O'Hagan (1995) have been used to overcome this problems. This paper suggests intrinsic priors for testing the equality of two lognormal means, whose Bayes factors are asymptotically equivalent to the corresponding fractional Bayes factors. Using proposed intrinsic priors, we demonstrate our results with real example and a simulated dataset.

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NONINFORMATIVE PRIORS FOR PARETO DISTRIBUTION : REGULAR CASE

  • 김달호;이우동;강상길
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2003년도 춘계학술대회
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    • pp.27-37
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    • 2003
  • In this paper, we develop noninformative priors for two parameter Pareto distribution. Specially, we derive Jeffrey's prior, probability matching prior and reference prior for the parameter of interest. In our case, the probability matching prior is only a first order and there does not exist a second order matching prior. Some simulation reveals that the matching prior performs better to achieve the coverage probability. And a real example will be given.

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Bayesian Analysis for Burr-Type X Strength-Stress Model

  • Kang, Sang-Gil;Ko, Jeong-Hwan;Lee, Woo-Dong
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 1999년도 춘계학술대회 발표논문집
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    • pp.191-197
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    • 1999
  • In this paper, we develop noninformative priors that are used for estimating the reliability of stress-strength system under the Burr-type X distribution. A class of priors is found by matching the coverage probabilities of one-sided Bayesian credible interval with the corresponding frequentist coverage probabilities. It turns out that the reference prior is a first order matching prior. The propriety of posterior under matching prior is provided. The frequentist coverage probabilities are given for small samples.

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참조화자로부터 추정된 적응적 혼성 사전분포를 이용한 MAPLR 고속 화자적응 (Rapid Speaker Adaptation Based on MAPLR with Adaptive Hybrid Priors Estimated from Reference Speakers)

  • 송영록;김형순
    • 한국음향학회지
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    • 제30권6호
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    • pp.315-323
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    • 2011
  • 본 논문은 maximum a posteriori linear regression (MAPLR) 기반의 고속 화자적응 성능을 개선하기 위하여 사전분포를 추정하는 두 가지 방식을 제안한다. 일반적으로 MAPLR 방식에서 사용되는 변환행렬의 사전분포는 화자독립모델을 구성하는 훈련 화자들로부터 추정되어 모든 화자들에게 동등하게 적용된다. 본 논문에서는 새로운 화자에게 보다 더 적합한 사전분포를 적용하고자 적응 데이터를 이용하여 새로운 화자의 음향특성과 가까운 참조화자 집단을 선택한 후 참조화자 집단으로부터 사전분포를 추정하는 방법을 제안한다. 또한, 블록 대각 형태의 변환행렬의 사전분포를 추정하는 경우 사전분포의 평균행렬과 공분산행렬을 동일한 훈련 화자들로부터 얻어진 두 가지 형태의 변환행렬집단으로부터 각각 추정하는 방법을 제안한다. 제안된 방법의 성능 평가를 위하여 고립단어 인식실험을 통해 적응 단어의 개수에 따른 단어 인식률을 평가한다. 실험결과, 적응 단어 수가 매우 적을 때 기존의 MAPLR 방식에 비하여 통계적으로 유의미한 성능향상이 얻어짐을 보여준다.

Noninformative Priors for the Ratio of the Failure Rates in Exponential Model

  • 조장식;백승욱
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.217-226
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    • 2002
  • In this paper, we derive noninformative priors for the ratio of failure rates in exponential model. A class of priors is found by matching the coverage probabilities of one-sided Baysian credible interval with the corresponding frequentist coverage probabilities. And we prove that the noninformative prior matches the alternative coverage probabilities and is a HPD matching prior up to the second order. Finally, we provide simulated freqentist coverage probabilities under the derived noninformative prior for small samples.

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Developing Noninformative Priors for the Common Mean of Several Normal Populations

  • Kim, Yeong-Hwa;Sohn, Eun-Seon
    • Journal of the Korean Data and Information Science Society
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    • 제15권1호
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    • pp.59-74
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    • 2004
  • 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.

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Bayesian Analysis for Burr-Type XStrength-Stress Model

  • Kang, Sang-gil;Ko, Jeong-Hwan;Lee, Woo-Dong
    • 한국산업정보학회논문지
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    • 제4권4호
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    • pp.47-52
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    • 1999
  • 본 논문에서는 Burr Type-X 분포하에서 stress-strength 의 신뢰도를 추정하는 데 사용되어지는 비정보적 사전분포들을 개발하는 것이다. 개발된 reference 사전분포가 first order matching 사전분포가 된다는 것이 밝혀졌으며, 또한 matching 사전분포하에서 사후분포의 타당성을 밝혔다. 소표본하에서, 고전적 포함확률들이 주여져 있다.

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Default Bayesian testing for the bivariate normal correlation coefficient

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제22권5호
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    • pp.1007-1016
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    • 2011
  • This article deals with the problem of testing for the correlation coefficient in the bivariate normal distribution. We propose Bayesian hypothesis testing procedures for the bivariate normal correlation coefficient under the noninformative prior. The noninformative priors are usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. A simulation study and an example are provided.