• Title/Summary/Keyword: Prior information

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Bayesian Test for the Equality of Gamma Means

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • 제17권4호
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    • pp.1413-1425
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    • 2006
  • When X and Y have independent gamma distributions, we develop a Bayesian procedure for testing the equality of two gamma means. The reference prior is derived. Using the derived reference prior, we propose a Bayesian test procedure for the equality of two gamma means using fractional Bayes factor and intrinsic Bayes factor. Simulation study and a real data example are provided.

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Bayesian Model Selection in the Gamma Populations

  • Kang, Sang-Gil;Kang, Doo-Young
    • Journal of the Korean Data and Information Science Society
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    • 제17권4호
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    • pp.1329-1341
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    • 2006
  • When X and Y have independent gamma distributions, we consider the testing problem for two gamma means. We propose a solution based on a Bayesian model selection procedure to this problem in which no subjective input is considered. The reference prior is derived. Using the derived reference prior, we compute the fractional Bayes factor and the intrinsic Bayes factors. The posterior probability of each model is used as a model selection tool. Simulation study and a real data example are provided.

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Optimum Screening Procedures Using Prior Information

  • Kim, Sang-Boo
    • 품질경영학회지
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    • 제22권1호
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    • pp.142-151
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    • 1994
  • Optimum screening procedures using prior information are presented. An optimal cutoff value on the screening variable X minimizing the expected total cost is obtained for the normal model; it is assumed that a continuous screening variable X given a dichotomous performance variable T is normally distributed and that costs are incurred by screening inspection and misclassification errors. Methods for finding optimal cutoff values based on the prior distributions for unknown parameters are presented.

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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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Bayesian Test for the Difference of Exponential Guarantee Time Parameters

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제16권4호
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    • pp.1095-1106
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    • 2005
  • When X and Y have independent two parameter exponential distributions, we develop a Bayesian testing procedures for the equality of two location parameters. The reference prior in non-regular exponential model is derived. Under this reference prior, we propose a Bayesian test procedures for the equality of two location parameters using fractional Bayes factor and intrinsic Bayes factor. Simulation study and some real data examples are provided.

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Bayesian Test for the Difference of Exponential Guarantee Time Parameters

  • 강상길;김달호;이우동
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2004년도 춘계학술대회
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    • pp.15-23
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    • 2004
  • When X and Y have independent two parameter exponential distributions, we develop a Bayesian testing procedures for the equality of two location parameters. Under the noninformative prior, we propose a Bayesian test procedures for the equality of two location parameters using fractional Bayes factor and intrinsic Bayes factor. Simulation study and some real data examples are provided.

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히스토그램 정보와 dark channel prior를 이용한 다해상도 기반 단일 영상 안개 제거 알고리즘 (A Single Image Defogging Algorithm Based on Multi-Resolution Method Using Histogram Information and Dark Channel Prior)

  • 양승용;양정은;홍석근;조석제
    • Journal of Advanced Marine Engineering and Technology
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    • 제39권6호
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    • pp.649-655
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    • 2015
  • 본 논문에서는 효과적인 단일 영상 안개 제거 알고리즘을 제안한다. 잘 알려진 안개 제거 알고리즘인 dark channel prior(DCP)는 경계선 영역에서의 후광 현상(halo artifact) 및 결과 영상의 저대비를 초래하고 전달량 정제(refinement) 과정에서 긴 계산 시간을 필요로 한다. 이러한 문제들을 해결하기 위해 제안한 방법은 전달량을 추정할 때 DCP와 히스토그램 정보로 구성된 비용함수를 이용하고, 빠른 처리를 위해 다해상도 기법을 이용한다. 히스토그램 정보는 안개 제거 결과의 저대비 현상을 방지해주고, 에지 정보를 참고하는 다해상도 기법은 계산 시간을 감소시키고 후광 현상을 방지할 수 있다. 다수의 안개 영상에 대한 실험을 통해 제안한 방법이 기존의 방법들보다 효율적이고 우수함을 확인하였다.

Block Sparse Signals Recovery Algorithm for Distributed Compressed Sensing Reconstruction

  • Chen, Xingyi;Zhang, Yujie;Qi, Rui
    • Journal of Information Processing Systems
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    • 제15권2호
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    • pp.410-421
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    • 2019
  • Distributed compressed sensing (DCS) states that we can recover the sparse signals from very few linear measurements. Various studies about DCS have been carried out recently. In many practical applications, there is no prior information except for standard sparsity on signals. The typical example is the sparse signals have block-sparse structures whose non-zero coefficients occurring in clusters, while the cluster pattern is usually unavailable as the prior information. To discuss this issue, a new algorithm, called backtracking-based adaptive orthogonal matching pursuit for block distributed compressed sensing (DCSBBAOMP), is proposed. In contrast to existing block methods which consider the single-channel signal reconstruction, the DCSBBAOMP resorts to the multi-channel signals reconstruction. Moreover, this algorithm is an iterative approach, which consists of forward selection and backward removal stages in each iteration. An advantage of this method is that perfect reconstruction performance can be achieved without prior information on the block-sparsity structure. Numerical experiments are provided to illustrate the desirable performance of the proposed method.

Note on Properties of Noninformative Priors in the One-Way Random Effect Model

  • Kang, Sang Gil;Kim, Dal Ho;Cho, Jang Sik
    • Communications for Statistical Applications and Methods
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    • 제9권3호
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    • pp.835-844
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    • 2002
  • For the one-way random model when the ratio of the variance components is of interest, Bayesian analysis is often appropriate. In this paper, we develop the noninformative priors for the ratio of the variance components under the balanced one-way random effect model. We reveal that the second order matching prior matches alternative coverage probabilities up to the second order (Mukerjee and Reid, 1999) and is a HPD(Highest Posterior Density) matching prior. It turns out that among all of the reference priors, the only one reference prior (one-at-a-time reference prior) satisfies a second order matching criterion. Finally we show that one-at-a-time reference prior produces confidence sets with expected length shorter than the other reference priors and Cox and Reid (1987) adjustment.

Noninformative Priors for Step Stress Accelerated Life Tests in Exponential Distribution

  • 이우동;박홍경
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 2009년도 춘계학술대회 미래 IT융합기술 및 전략
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    • pp.107-113
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    • 2009
  • This paper deals with noninformative priors for such as Jeffres' prior, reference prior and probability matching prior for scale parameter of exponential distribution when the data are collected in multiple step stress accelerated life tests. We find the noninformative priors for this model and show that the reference prior satisfies first order matching criterion. Using artificial data, we perform Bayesian analysis for proposed priors.

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