• Journal of the Korean Data and Information Science Society
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• 제22권6호
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• pp.1183-1197
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• 2011

베이즈 법칙에서는 사전확률과 우도가 주어지고 어떤 실험결과가 일어났을 때 사후확률을 계산한다. 이러한 사후확률의 계산 문제를 엑셀 매크로를 이용하여 쉽게 계산할 수 있다. 또한 일련의 독립적이고 연속적인 실험결과에 따르는 사후확률도 편리하게 계산할 수 있다. 특히, 엑셀 매크로를 작성하면 작업창에서 반복된 계산의 입력과 출력이 쉽게 이루어진다. 본 논문에서는 베이즈 법칙의 활용을 위해서 엑셀 매크로를 작성하고 그것의 사용 예를 들었다.

• Communications for Statistical Applications and Methods
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• 제12권2호
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• pp.395-411
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• 2005

In this paper, we develop the Jeffreys' prior, reference prior and the the probability matching priors for the difference of intraclass correlation coefficients in familial data. e prove the sufficient condition for propriety of posterior distributions. Using marginal posterior distributions under those noninformative priors, we compare posterior quantiles and frequentist coverage probability.

• 품질경영학회지
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• 제13권1호
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• pp.20-25
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• 1985

There are several approaches for dealing with the structural change in regression model, but by introducing a concept of Spline, the structural change can be expressed more clearly. This makes it possible not only to know the location where the structural change happens and the total number, but also to derive posterior distribution from anterior-posterior distribution when the probability of the judgement anterior for entire combination was given to each model, by which, the model that has the highest posterior probability is the method which realizes the structural change. The purpose of this study is to find a peculiarity of the posterior probability on the occasion of anterior information acquired and of not acquired with Baysian approach.

• Communications for Statistical Applications and Methods
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• 제10권1호
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• pp.1-9
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• 2003

In this article, we consider a Bayesian estimation method for the geometric mean of $textsc{k}$ exponential parameters, Using the Tibshirani's orthogonal parameterization, we suggest an invariant prior distribution of the $textsc{k}$ parameters. It is seen that the prior, probability matching prior, is better than the uniform prior in the sense of correct frequentist coverage probability of the posterior quantile. Then a weighted Monte Carlo method is developed to approximate the posterior distribution of the mean. The method is easily implemented and provides posterior mean and HPD(Highest Posterior Density) interval for the geometric mean. A simulation study is given to illustrates the efficiency of the method.

• Communications for Statistical Applications and Methods
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• 제10권2호
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• pp.333-339
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• 2003

In this paper, we develop the probability matching priors for the parameters of non-regular Pareto distribution. We prove the propriety of joint posterior distribution induced by probability matching priors. Through the simulation study, we show that the proposed probability matching Prior matches the coverage probabilities in a frequentist sense. A real data example is given.

• 한국지능시스템학회논문지
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• 제19권3호
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• pp.311-316
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• 2009

본 논문에서는 파티클 필터(Particle Filter)를 사용한 모바일 감시 로봇을 위한 실시간 움직임 추정 알고리즘을 제안한다. 파티클 필터는 몬테카를로(Monte Carlo) 샘플링 방법을 기반으로 사전분포확률(Prior distribution probability)와 사후분포확률(Posterior distribution probability)을 가지는 베이지안 조건 확률 모델(Bayesian conditional probabilities model)을 사용하는 방법이다. 그러나 대부분의 파티클 필터에서는 초기 확률밀도(Prior probability density)를 임의로 정의하여 사용하지만, 본 논문에서는 Sum of Absolute Difference (SAD)를 이용하여 초기 확률밀도를 구하고, 이를 파티클 필터에 적용하여 모바일 감시 로봇 환경에서 임의로 움직이는 물체를 강인하게 실시간으로 추정하고 추적하는 시스템을 구현하였다.

• 대한수학회보
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• 제44권2호
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• pp.265-270
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• 2007

The modern approach for wavelets imposes a Bayesian prior model on the wavelet coefficients to capture the sparseness of the wavelet expansion. The idea is to build flexible probability models for the marginal posterior densities of the wavelet coefficients. In this note, we derive exact expressions for a popular model for the marginal posterior density.

• Bulletin of the Korean Chemical Society
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• 제35권3호
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• pp.701-702
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• 2014

• 품질경영학회지
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• 제26권1호
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• pp.143-160
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• 1998

This article is concerned with the selection of subsets of predictor variables to be included in bulding the binary response logistic regression model. It is based on a Bayesian aproach, intended to propose and develop a procedure that uses probabilistic considerations for selecting promising subsets. This procedure reformulates the logistic regression setup in a hierarchical normal mixture model by introducing a set of hyperparameters that will be used to identify subset choices. It is done by use of the fact that cdf of logistic distribution is a, pp.oximately equivalent to that of $t_{(8)}$/.634 distribution. The a, pp.opriate posterior probability of each subset of predictor variables is obtained by the Gibbs sampler, which samples indirectly from the multinomial posterior distribution on the set of possible subset choices. Thus, in this procedure, the most promising subset of predictors can be identified as that with highest posterior probability. To highlight the merit of this procedure a couple of illustrative numerical examples are given.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2003년도 추계 학술발표회 논문집
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• pp.15-19
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• 2003

In this paper, we develop the Jeffreys' prior, reference priors and the probability matching priors for the intraclass correlation coefficient of a symmetric normal distribution. We next verify propriety of posterior distributions under those noninformative priors. We examine whether reference priors satisfy the probability matching criterion.