• Title/Summary/Keyword: posterior probability

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Improved Super-Resolution Algorithm using MAP based on Bayesian Approach

  • Jang, Jae-Lyong;Cho, Hyo-Moon;Cho, Sang-Bock
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.35-37
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    • 2007
  • Super resolution using stochastic approach which based on the Bayesian approach is to easy modeling for a priori knowledge. Generally, the Bayesian estimation is used when the posterior probability density function of the original image can be established. In this paper, we introduced the improved MAP algorithm based on Bayesian which is stochastic approach in spatial domain. And we presented the observation model between the HR images and LR images applied with MAP reconstruction method which is one of the major in the SR grid construction. Its test results, which are operation speed, chip size and output high resolution image Quality. are significantly improved.

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Bias Reduction in Election Poll Analysis: Measurement Bias of Responses (선거예측에서 편의의 감소: 거짓응답을 중심으로)

  • 박용치
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2000.06a
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    • pp.35-57
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    • 2000
  • Researchers in sample surveys have long recognized that what people say they are going to and what they do are not always the same, to say the least. Naturally this inconsistency distorts the survey results, especially in election poll surveys in Korea. How can one cope with this measurement bias\ulcorner This paper suggests two ideas: election poll tree and using posterior probability. By using two ideas the inconsistency of the poll survey results could be improved much or less.

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A Bayesian Criterion for a Multiple test of Two Multivariate Normal Populations

  • Kim, Hae-Jung;Son, Young-Sook
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.97-107
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    • 2001
  • A simultaneous test criterion for multiple hypotheses concerning comparison of two multivariate normal populations is considered by using the so called Bayes factor method. Fully parametric frequentist approach for the test is not available and thus Bayesian criterion is pursued using a Bayes factor that eliminates its arbitrariness problem induced by improper priors. Specifically, the fractional Bayes factor (FBF) by O'Hagan (1995) is used to derive the criterion. Necessary theories involved in the derivation an computation of the criterion are provided. Finally, an illustrative simulation study is given to show the properties of the criterion.

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On Estimation of HPD Interval for the Generalized Variance Using a Weighted Monte Carlo Method

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • v.9 no.2
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    • pp.305-313
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    • 2002
  • Regarding to inference about a scalar measure of internal scatter of Ρ-variate normal population, this paper considers an interval estimation of the generalized variance, │$\Sigma$│. Due to complicate sampling distribution, fully parametric frequentist approach for the interval estimation is not available and thus Bayesian method is pursued to calculate the highest probability density (HPD) interval for the generalized variance. It is seen that the marginal posterior distribution of the generalized variance is intractable, and hence a weighted Monte Carlo method, a variant of Chen and Shao (1999) method, is developed to calculate the HPD interval of the generalized variance. Necessary theories involved in the method and computation are provided. Finally, a simulation study is given to illustrate and examine the proposed method.

Development of Rotating Machine Vibration Condition Monitoring System based upon Windows NT (Windows NT 기반의 회전 기계 진동 모니터링 시스템 개발)

  • 김창구;홍성호;기석호;기창두
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.7
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    • pp.98-105
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    • 2000
  • In this study, we developed rotating machine vibration condition monitoring system based upon Windows NT and DSP Board. Developed system includes signal analysis module, trend monitoring and simple diagnosis using threshold value. Trend analysis and report generation are offered with database management tool which was developed in MS-ACCESS environment. Post-processor, based upon Matlab, is developed for vibration signal analysis and fault detection using statistical pattern recognition scheme based upon Bayes discrimination rule and neural networks. Concerning to Bayes discrimination rule, the developed system contains the linear discrimination rule with common covariance matrices and the quadratic discrimination rule under different covariance matrices. Also the system contains k-nearest neighbor method to directly estimate a posterior probability of each class. The result of case studies with the data acquired from Pyung-tak LNG pump and experimental setup show that the system developed in this research is very effective and useful.

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Implementation of an Integrated Machine Condition Monitoring Algorithm Based on an Expert System (전문가시스템을 기반으로 한 통합기계상태진단 알고리즘의 구현(I))

  • 장래혁;윤의성;공호성;최동훈
    • Tribology and Lubricants
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    • v.18 no.2
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    • pp.117-126
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    • 2002
  • Abstract - An integrated condition monitoring algorithm based on an expert system was implemented in this work in order to monitor effectively the machine conditions. The knowledge base was consisted of numeric data which meant the posterior probability of each measurement parameter for the representative machine failures. Also the inference engine was constructed as a series of statistical process, where the probable machine fault was inferred by a mapping technology of pattern recognition. The proposed algorithm was, through the user interface, applied for an air compressor system where the temperature, vibration and wear properties were measured simultaneously. The result of the case study was found fairly satisfactory in the diagnosis of the machine condition since the predicted result was well correlated to the machine fault occurred.

Efficient random number generation from extreme tail areas of a t-distribution (t 분포의 극단 꼬리부분으로부터의 효율적인 난수생성)

  • 오만숙;김나영
    • The Korean Journal of Applied Statistics
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    • v.9 no.1
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    • pp.165-177
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    • 1996
  • It is often needed to generate random numbers from truncated t-distributions to carry out Bayesian inferences, especially in Monte Carlo integration for estimation of posterior densities of constrained parameters. However, when the restricted area is an extreme tail area with a small probability most existing random generation methods are not efficient. In this paper, we propose an efficient acceptance-rejection method to generate random numbers from extreme tail areas of a t-distribution. Using some simulation results, we compare the proposed algorithm with other popular methods.

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Bayesian Reliability Estimation for Small Sample-Sized One-shot Devices (작은 샘플 크기의 One-shot Devices를 위한 베이지안 신뢰도 추정)

  • Mun, Byeong Min;Sun, Eun Joo;Bae, Suk Joo
    • Journal of Applied Reliability
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    • v.13 no.2
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    • pp.99-107
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    • 2013
  • One-shot device is required to successfully perform its function only once at the moment of use. The reliability of a one-shot device should be expressed as a probability of success. In this paper, we propose a bayesian approach for estimating reliability of one-shot devices with small sample size. We employ a gamma prior to obtain the posterior distribution. Finally, we compare the accuracy of the proposed method with general maximum likelihood method.

Noninformative priors for linear function of parameters in the lognormal distribution

  • Lee, Woo Dong;Kim, Dal Ho;Kang, Sang Gil
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.4
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    • pp.1091-1100
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    • 2016
  • This paper considers the noninformative priors for the linear function of parameters in the lognormal distribution. The lognormal distribution is applied in the various areas, such as occupational health research, environmental science, monetary units, etc. The linear function of parameters in the lognormal distribution includes the expectation, median and mode of the lognormal distribution. Thus we derive the probability matching priors and the reference priors for the linear function of parameters. Then we reveal that the derived reference priors do not satisfy a first order matching criterion. Under the general priors including the derived noninformative priors, we check the proper condition of the posterior distribution. Some numerical study under the developed priors is performed and real examples are illustrated.

Bias Reduction in Election Poll Analysis: Measurement Bias of Responses (선거예측에서 편의의 감소: 거짓응답을 중심으로)

  • Park, Yong-Chie
    • Survey Research
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    • v.1 no.2
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    • pp.35-57
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    • 2000
  • Researchers in sample surveys have long recognized that what people say they are going to and what they do are not always the same, to say the least. Naturally this inconsistency distorts the survey results, especially in election poll surveys in Korea. How can one cope with this measurement bias? This paper suggests two ideas: election poll tree and using posterior probability. By using two ideas the inconsistency of the poll survey results could be improved much or less.

  • PDF