• 한국안전학회지
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• 제15권2호
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• pp.1-7
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• 2000

This paper presents the approach involving fault detection and diagnosis of gears using pattern recognition and Wavelet transform. It describes result of the comparison between KDI (Kullback Discrimination Information) with the nearest neighbor classification rule as one of pattern recognition methods and Wavelet transform to know a way to detect and diagnosis of gear damages experimentally. To model the damages 1) Normal (no defect), 2) one tooth is worn out, 3) All teeth faces are worn out 4) One tooth is broken. The vibration sensor was attached on the bearing housing. This produced the total time history data that is 20 pieces of each condition. We chose the standard data and measure distance between standard and tested data. In Wavelet transform analysis method, the time series data of magnitude in specified frequency (rotary and mesh frequency) were earned. As a result, the monitoring system using Wavelet transform method and KDI with nearest neighbor classification rule successfully detected and classified the damages from the experimental data.

• 응용통계연구
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• 제20권1호
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• pp.79-89
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• 2007

Arizono와 Ohta(1989)에 의해 소개된 정규성 검정은 쿨백-라이블러 판별정보를 이용하고 있으며, 검정통계량의 유도에 기반이 되는 판별정보의 추정량을 얻기 위해 Vasicek(1976)의 표본엔트로피와 분산의 최대가능도 추정량을 사용했다. 그런데 두 추정량은 편향성을 가지게 되므로 보다 정확한 판별정보의 추정을 위해 비편향 추정량을 사용하는 것이 바람직하다. 본 논문에서는 편향을 수정한 엔트로피 추정량과 분산의 균일최소분산비편향 추정량을 사용하여 판별정보의 추정량을 구하고 이로부터 유도되는 검정통계량을 사용하는 개선된 정규성 검정을 제시한다. 제안한 검정의 특성을 규명하고 검정력 비교를 위해서 모의실험을 수행한다.

• International Journal of Safety
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• 제1권1호
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• pp.28-35
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• 2002

Kullback Discrimination Information (KDI) is one of the pattern recognition methods. KDI defined as a measure of the mutual dissimilarity computed between two time series was studied for detection and classification of bearing flaking on outer-race and inner-races. To model the damages, the bearings in normal condition, outer-race flaking condition and inner-races flaking condition were provided. The vibration sensor was attached by the bearing housing. This produced the total 25 pieces of data each condition, and we chose the standard data and measure of distance between standard and tested data. It is difficult to detect the flaking because similar pulses come out when balls pass the defection point. The detection and classification method for inner and outer races are defected by KDI and nearest neighbor classification rule is proposed and its high performance is also shown.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제7권1호
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• pp.63-77
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• 2003

Some inequalities for the $Csisz{\acute{a}}r\;{\Phi}-divergence$ and applications for the Kullback-Leibler, $R{\acute{e}}nyi$, Hellinger and Bhattacharyya distances in Information Theory are given.

• Journal of the Korean Statistical Society
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• 제25권2호
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• pp.289-301
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• 1996

This paper suggests a new diagnostic measure for detecting influential observations in two group linear discriminant analysis(LDA). It is developed from an information theoretic point of view using the minimum discrimination information(MDI) methodology. MDI estimator of symmetric divergence by Kullback(l967) is taken as a measure of the power of discrimination in LDA. It is shown that the effect of an observation over the power of discrimination is fully explained by the diagnostic measure. Asymptotic distribution of the proposed measure is derived as a function of independent chi-squared and standard normal variables. By means of the distributions, a couple of methods are suggested for detecting the influential observations in LDA. Performance of the suggested methods are examined through a simulation study.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2003년도 추계 학술발표회 논문집
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• pp.233-238
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• 2003

Goodness of fit test statistics based on the information discrepancy have been shown to perform very well (Vasicek 1976, Dudewicz and van der Meulen 1981, Chandra et al 1982, Gohkale 1983, Arizona and Ohta 1989, Ebrahimi et al 1992, etc). Although the test is well defined for the non-censored case, censored case has not been discussed in the literature. Therefore we consider a goodness of fit test based on the partial Kullback-Leibler(KL) information with the type II censored data. We derive the partial KL information of the null distribution function and a nonparametric distribution function, and establish a goodness of fit test statistic. We consider the exponential and normal distributions and made Monte Calro simulations to compare the test statistics with some existing tests.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 1990년도 춘계공동학술대회논문집; 한국과학기술원; 28 Apr. 1990
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• pp.272-288
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• 1990

The uncertainty quantification process in probabilistic Risk Assessment usually involves a specification of the uncertainty in the input data and the propagation of this uncertainty to the final risk results. The distributional sensitivity analysis is to study the impact of the various assumptions made during the quantification of input parameter uncertainties on the final output uncertainty. The uncertainty importance of input parameters, in this case, should reflect the degree of changes in the whole output distribution and not just in a point estimate value. A measure of the uncertainty importance is proposed in the present paper. The measure is called the distributional sensitivity measure(DSM) and explicitly derived from the definition of the Kullback's discrimination information. The DSM is applied to three typical discrimination information. The DSM is applied to three typical cases of input distributional changes: 1) Uncertainty is completely eliminated, 2) Uncertainty range is increased by a factor of 10, and 3) Type of distribution is changed. For all three cases of application, the DSM-based importance ranking agrees very well with the observed changes of output distribution while other statistical parameters are shown to be insensitive.

• 한국산업안전학회:학술대회논문집
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• 한국안전학회 2002년도 춘계 학술논문발표회 논문집
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• pp.413-418
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• 2002

베어링은 산업현장에서 널리 쓰여지는 중요 부품이다. 따라서 이의 결함에 따른 손실을 예방하기 위해서는 이상을 진단하고 검지하는 기법이 요구된다. 따라서 본 연구에서는 저속회전하므로 노이즈가 많이 포함되어 절상상태의 신호검출이 어려운 저속회전베어링의 외륜이상을 웨이브렛의 Denoising 기법을 적용하여 정량적으로 진단하고 패턴인식법 중의 하나인 KDI(Kullback Discrimination Information)를 적용하여 이상상태의 진단/검지능력을 시험해 보았다. 웨이브랫의 Denoising 기법은 노이즈 캔셀링(Noise canceling)이 능력이 뛰어났고, HDI기법은 저속회전베어링의 정상과 이상의 분류에 뛰어난 검지능력이 있음을 알 수 있었다.(중략)

• 한국컴퓨터정보학회논문지
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• 제3권2호
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• pp.131-138
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• 1998

통상 통계적인 데이터 해석에서 취급되는 데이터는 확정된 값으로서 통계 처리를실시한다. 그러나 복잡˙대규모화하는 현대의 시스템에 있어서는 정확하게 측정된 데이터만을 취급하는 것은 곤란하며 인간의 주관적인 판단에 따른 데이터를 수집하는 경우가 발생하게 된다. 본 연구에서는 이러한 인간의 주관적인 판단에 따른 데이터를 퍼지 관측 데이터로하여(언어 변수에 의해 Membership 함수를 정의한다.) 최대 엔트로피 원리를 이용한 새로운 분석 방법을 제안한다. 또한 보다 현실적인 상황 아래 시뮬레이션을 실시함으로서 제안모델의 유효성을 검증한다.

• Industrial Engineering and Management Systems
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• 제12권2호
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• pp.112-117
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• 2013

The $\overline{x}$ control chart for the process mean and either the R or s control chart for the process dispersion have been used together to monitor the manufacturing processes. However, it has been pointed out that this procedure is flawed by a fault that makes it difficult to capture the behavior of process condition visually by considering the relationship between the shift in the process mean and the change in the process dispersion because the respective characteristics are monitored by an individual control chart in parallel. Then, the ($\overline{x}$, s) control chart has been proposed to enable the process managers to monitor the changes in the process mean, process dispersion, or both. On the one hand, identifying which process parameters are responsible for out-of-control condition of process is one of the important issues in the process management. It is especially important in the ($\overline{x}$, s) control chart where some parameters are monitored at a single plane. The previous literature has proposed the multiple decision method based on the statistical hypothesis tests to identify the parameters responsible for out-of-control condition. In this paper, we propose how to identify parameters responsible for out-of-control condition using the information criterion. Then, the effectiveness of proposed method is shown through some numerical experiments.