• Journal of the Korean Data and Information Science Society
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• v.7 no.2
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• pp.263-272
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• 1996

In this parer, under random censorship model, an estimation of scale and shape parameters in Weibull lifetime model is considered. Based on nonparametric estimator of survival function, the least square method is proposed. The proposed estimation method is simple and the performance of the proposed estimator is as efficient as maximum likelihood estimators. An example is presented, using field winding data. Simulation studies are performed to compare the performaces of the proposed estimator and maximum likelihood estimator.

• The Korean Journal of Applied Statistics
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• v.11 no.2
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• pp.351-362
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• 1998

In this paper, a test of fit for Weibull distribution on the estimated Kullback-Leibler information is proposed. The test uses the Vasicek entropy estimates, so to compute it a window size m must first be fried, and then is obtained critical values computed by Monte Carlo simulations. The power of the proposed test under various alternatives is compares with that of ocher famous tests. The use of the test is shown in an illustrative example.

• Proceedings of the KIEE Conference
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• 2004.11a
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• pp.89-91
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• 2004

본 논문은 XLPE 절연재료의 보이드에 따른 방전빈도를 와이블 함수로 조사하였으며, 또한 방전빈도와 결함에 대한 상관관계를 와이블 해석을 이용한 진단시스템을 제안하고 있다. 인가전압은 교류 60[Hz]를 방전개시전압을 기점으로 1[1kV]씩 승압하였으며, 전하량이 512[pC]이상이 발생하면 검출한도를 초과하므로 실험을 멈추었다. 그 결과 보이드 시료에서 큰 형태파라메터값을 나타냄을 확인하였다.

• 한국데이터정보과학회:학술대회논문집
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• 2001.10a
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• pp.34-41
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• 2001

본 논문에서는 비재생보증을 갖는 수리 가능한 시스템에 대한 베이즈 관점에서의 최적의 교체정책을 제안한다. 비재생무료보증(non-renewing free-replacement warranty : NFRW)과 비재생비례보증(non-renewing pro-rata warranty : NPRW)의 두 가지 경우에 대하여 각각 기스템의 고장시간이 와이블분포일 때 베이즈 관점에서의 단위시간당 기대비용을 최소화하는 최적의 교체정책과 순응적 교체정책에 대하여 설명한다.

• The Korean Journal of Applied Statistics
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• v.20 no.2
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• pp.357-371
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• 2007

For the time-to-failure data with competing risks, cumulative incidence functions (CIFs) are commonly estimated using nonparametric methods. If the cases of events due to the cause of primary interest are infrequent relative to other cause of failure, nonparametric methods may result in rather imprecise estimates for CIF. In such cases, Bryant et al. (2004) suggested to model the cause-specific hazard of primary interest parametrically, while accounting for the other modes of failure using nonparametric estimator. We represented the semiparametric cumulative incidence estimator and extended to the model of Weibull and log-normal distribution. We also conducted simulations to access the performance of the semiparametric cumulative incidence estimators and to investigate the impact of model misspecification in log-normal cause-specific hazard model.

• The Korean Journal of Applied Statistics
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• v.16 no.2
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• pp.273-282
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• 2003

The problem of estimating the parameters of k-population Weibull distributions is discussed under the prior of ordered scale parameters. Parameters are estimated by the Gibbs sampling method. Since the conditional posterior distribution of the shape parameter in the Gibbs sampler is not log-concave, the shape parameter is generated by the adaptive rejection sampling. Finally, we applied this estimation methodology to the data discussed in Nelson (1970).

• Proceedings of the KIEE Conference
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• 2008.10a
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• pp.137-138
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• 2008

In this paper, the statistical judgement using IR camera was discussed and investigated. Acceleration experiments were carried out for the possibility of weibull distribution and then, the acquired data were replaced with quantitative value for safety diagnosis of distribution lines.

• Journal of the military operations research society of Korea
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• v.35 no.2
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• pp.33-49
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• 2009

The objective of this study is as follows. First, the hazard function on the failure probability density function of the K-1 tracked vehicles can be occurred in the form of the bathtub curve. Second, the failure mode may be different under two different operational situations. The research result shows that the bathtub curve can be fitted in the Weibull distribution, that assumes different shapes according to the specific stage of the system's life cycle. The K-1 tracked vehicle has a relatively high hazard(failure) rate at the time of its first service. The failure rate starts decreasing for a time immediately after it goes into service. After the break-in period, the surviving components have a fairly constant hazard rate. As the K-1 system ages, deterioration of its various parts takes place and the hazard rate starts Increasing. Second, the result shows the failure rate in the harsh operational environment is higher than that in the mild operational environment. In conclusion, the bathtub curve can be logically appropriate in establishing the depot overhaul cycle. Moreover, it is necessary for determining the right time of the depot overhaul to consider not only the age of defense equipment but also the different operational environment.

• Journal of the Korean Data and Information Science Society
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• v.20 no.1
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• pp.39-48
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• 2009

Fisher information matrix plays an important role in statistical inference of unknown parameters. Especially, it is used in objective Bayesian inference which derives to the posterior distribution using a noninformative prior distribution and is an example of metric functions in geometry. The more parameters for estimating in a distribution are, the more complicate derivation of the Fisher information matrix for the distribution is. In this paper, we derive to the Fisher information matrix for 3-parameters Weibull distribution which is used in reliability theory using Mathematica programs.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 2009.06a
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• pp.384-384
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• 2009

에폭시 수지에 유기화된 층상실리케이트 나노입자를 1wt% 충진한 경우 나노콤포지트와 마이크로 입자를 50wt% 충진한 경우 마이크로 콤포지트를 제조하였다. 초음파 분산법을 이용하여 나노 및 마이크로입자를 120분 동안 분산시킨 에폭시- 나노/마이크로 콤포지트이다. 나노콤포지트와 마이크로콤포지트의 단시간 교류절연파괴특성을 조사하기 위해 와이블 분포 plot을 통하여 나타내었다. 와이블 plot은 기울기로서 형상파라미터를 나타낸 경우로서 이는 파괴강도의 균질성을 의미하게 된다. 63.2% 누적분포함수를 나타낸 경우 척도파라미터로서 나타내어진다. 마이크로 콤포지트의 경우 형상파라미터가 2.99, 나노콤포지트는 8.96를 나타내었다. 또한 마이크로 콤포지트 및 나노콤포지트 스케일 파라미터는 164.25kV/mm, 245kV/mm를 얻었다. 또한 B10수명의 경우 마이크로콤포지트와 나노콤포지트의 경우 77.57kV/mm, 139.3 6kV/mm로서 나노콤포지트의 경우 완전하게 박리가 일어난 경우이다. 마이크로 입자를 분산시켜 입자간거리와 나노입자를 분산시켜 박리가 일어난 경우 입자간거리는 대단히 큰 차이를 나타내고 있다. 나노입자가 교번전계 하에서 주입된 전하 및 케리어 이동을 억제하는 경우로 이와같은 결과를 얻을 수 있다.