• 제목/요약/키워드: Weibull parameters

검색결과 324건 처리시간 0.024초

Application of the Weibull-Poisson long-term survival model

  • Vigas, Valdemiro Piedade;Mazucheli, Josmar;Louzada, Francisco
    • Communications for Statistical Applications and Methods
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    • 제24권4호
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    • pp.325-337
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    • 2017
  • In this paper, we proposed a new long-term lifetime distribution with four parameters inserted in a risk competitive scenario with decreasing, increasing and unimodal hazard rate functions, namely the Weibull-Poisson long-term distribution. This new distribution arises from a scenario of competitive latent risk, in which the lifetime associated to the particular risk is not observable, and where only the minimum lifetime value among all risks is noticed in a long-term context. However, it can also be used in any other situation as long as it fits the data well. The Weibull-Poisson long-term distribution is presented as a particular case for the new exponential-Poisson long-term distribution and Weibull long-term distribution. The properties of the proposed distribution were discussed, including its probability density, survival and hazard functions and explicit algebraic formulas for its order statistics. Assuming censored data, we considered the maximum likelihood approach for parameter estimation. For different parameter settings, sample sizes, and censoring percentages various simulation studies were performed to study the mean square error of the maximum likelihood estimative, and compare the performance of the model proposed with the particular cases. The selection criteria Akaike information criterion, Bayesian information criterion, and likelihood ratio test were used for the model selection. The relevance of the approach was illustrated on two real datasets of where the new model was compared with its particular cases observing its potential and competitiveness.

부분방전법을 이용한 점화코일의 안정도 해석 (Stability Analysis of the Ignition Coil using Partial Discharge)

  • 박희두;김탁용;신현택;김원종;신종열;홍진웅
    • 한국안전학회지
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    • 제21권1호
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    • pp.53-58
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    • 2006
  • This paper has been addressed on the discharge characteristics of the ignition coil by Weibull function. It analyzed discharge number and amount of discharge using Weibull distribution to know the inter-relationship between partial discharge and mileage. We detected the discharge which happens for 10 seconds. The applied voltage increased by 0.5[kV] at discharge inception voltage. We diagnosed failure rate using the shape parameters. As a result, we confirmed that the failure rate was increased, because the shape parameter showed the value of 5 according to increasing mileage degradation. Also, it is considered to increase the degradation of inner insulator of ignition coil. Because failure rate of virgin was increased from 0[%] to 25[%] after degradation, stability analysis of the ignition coil using Weibull analysis is possible.

Another View Point on the Performance Evaluation of an MC-DS-CDMA System

  • Chen, Joy Iong-Zong;Hsieh, Tai Wen
    • Journal of Communications and Networks
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    • 제11권3호
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    • pp.240-247
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    • 2009
  • The results of performance analysis by adopting the channel scenarios characterized as Weibull fading for an multicarrierdirect sequence-coded division multiple access (MC-DS-CDMA) system are proposed in this investigation. On the other hand, an approximate simple expression with the criterion of bit error rate (BER) versus signal-to-noise ratio (SNR) method is derived for an MC-DS-CDMA system combining with maximal ratio combining (MRC) diversity based on the moment generating function (MGF) formula of Weibull statistics, and it associates with an alternative expression of Gaussian Q-function. Besides, the other point of view on the BER performance evaluation of an MC-DS-CDMA system is not only the assumption of both single-user and multi-user cases applied, but the phenomena of partial band interference (PBI) is also included. Moreover, in order to validate the accuracy in the derived formulas, some of the system parameters, such as Weibull fading parameter (${\beta}$), user number (K), spreading chip number (N), branch number (L), and the PBI (JSR) values, etc., are compared with each other in the numerical results. To the best of author's knowledge, it is a brand new idea which proposes the evaluation of the system performance for an MC-DS-CDMA system over the point of view with Weibull fading channel.

Weibull 함수를 이용한 입도 분리와 하안단구 퇴적층의 기원 (Grain Size Partitioning Using the Weibull Function and Origin of Fluvial Terrace Deposits)

  • 박충선;조영동;이광률
    • 한국지형학회지
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    • 제26권2호
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    • pp.15-27
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    • 2019
  • This study tries to reveal transport mechanism and origin of components from fluvial terrace deposits in Danyang and Geum River basins, through grain size partitioning using the Weibull function. Grain size parameters suggest that the samples analyzed in this study can be grouped into the coarse, fine and medium samples. The coarse samples are partitioned into three or four components. More than 65% of the coarse samples consist of components by suspension and saltation by fluvial process, while components by attachment to coarse grains or aggregates and/or by individual grains deposited under non-flow condition are also found in the coarse samples. The fine samples consist of four components and components found in loess deposits in Korea occupy >70%, suggestive of the same transport mechanisms (westerlies and winter monsoon) and common source areas with loess deposits in Korea. However, components by aeolian process from local sources as well as by fluvial process are also found in the fine samples. The medium samples are partitioned into components with similar sizes to the coarse and fine samples, respectively.

운전조건이 변화하는 공정설비의 신뢰도 분석기법 (A Method for Reliability Analysis of Process Facilities under Changing Operating Conditions)

  • 최수형
    • 한국가스학회지
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    • 제7권4호
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    • pp.20-23
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    • 2003
  • 공정설비의 신뢰도분석은 자주 Weibull 분포에 기초를 둔 모델을 사용한다. 여기에 사용되는 매개변수들은 조업조건의 함수로서 실험에 의해 값이 결정되며 이를 토대로 신뢰도, 평균수명 및 표준편차를 계산한다 이때 기존 방법은 조업조건이 일정하다고 가정하고 이 매개변수들을 상수로 취급한다. 본 논문에서는 척도모수가 시간의 함수일 때 적용할 수 있는 신뢰도함수 및 이를 토대로 한 분석기법을 제안한다. 냉각팬에 대한 사례연구 결과 평균조업조건을 적용한 기존 방법과 큰 차이를 보였다. 제안된 방법은 다른 공정설비들에도 적용 가능하며 조업조건변화가 설비신뢰도에 미치는 영향을 효과적으로 고려할 수 있을 것으로 기대된다.

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탄소섬유 복합재 피로수명의 통계적 특성 연구 (A Study on Statistical Characteristics of Fatigue Life of Carbon Fiber Composite)

  • 주영식;이원준;서보휘;임승규
    • 한국항공우주학회지
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    • 제47권1호
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    • pp.35-40
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    • 2019
  • 본 연구의 목적은 항공기 구조개발에 널리 적용되고 있는 탄소섬유 복합재의 피로특성을 확인하고, 실기체 피로시험에 활용되고 있는 자료를 획득하는 것이다. 복합재 구조의 내구성 및 손상허용성의 평가는 주로 피로시험을 통하여 이루어지며, 실기체 피로시험에 적용되고 있는 파라미터에는 피로수명계수와 하중증대계수가 있다. 탄소섬유/에폭시 일방향 및 직물형 복합재로 시편을 제작하였으며, 응력비와 적층패턴을 달리하여 피로시험을 수행하였다. Sendeckyj 모델을 적용한 와이블 분포와 개별적인 피로수명에 대한 와이블 분포를 이용하여 형상 파라미터를 분석하였다. 또한 신뢰도를 고려한 피로수명계수와 하중증대계수를 평가하였다.

중도절단(中途切斷)된 데이터를 이용한 와이블회귀모형(回歸模型)의 통계적(統計的) 추론(推論)에 관한 연구(硏究) (Statistical Inferences in the Weibull Regression Model based on Censored Data)

  • 조길호
    • Journal of the Korean Data and Information Science Society
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    • 제4권
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    • pp.13-30
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    • 1993
  • We propose the ordered least squares estimators(OLSE's) of the parameters and the p-th quantiles for the two-parameter Weibull regression model under the Type II censoring, The Monte Carlo simulations are performed to compare the proposed estimators with the maximum likelihood estimators(MLE's), and it is shown that the proposed estimators are slightly better than MLE's as the censoring rate goes up.

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주기적인 예방보전정책의 베이즈 접근방법 (A Bayesian Approach to Periodic Preventive Maintenance Policy)

  • 한성실;정기문;권영섭
    • 품질경영학회지
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    • 제29권3호
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    • pp.39-48
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    • 2001
  • Preventive maintenance(PM) is an action taken on a repairable system while it is still operating, which needs to be carried out in order to keep the system at the desired level of successful operation. In this paper, we consider a Bayesian approach to determine an optimal periodic preventive maintenance policy. When the failure time is Weibull distribution with uncertain parameters, a Bayesian approach is established. Some numerical examples are presented for illustrative purpose.

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점진적 정수 중단 하에서의 와이블분포에 대한 계량형 샘플링검사 (Variables Sampling Plans for the Weibull Distribution under Progressive Failure Censoring)

  • 이상호;전치혁
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회/대한산업공학회 2005년도 춘계공동학술대회 발표논문
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    • pp.922-926
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    • 2005
  • Progressively censored variables sampling plans are proposed for the lot acceptance of parts whose life follows Weibull distribution with known shape parameter. Progressive type-II censoring gives us not only time to failure but also degradation information. So, one can construct more flexible and more cost effective sampling plans. Design parameters of our sampling plan are determined by using the usual two-point approach.

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마모유형 천이에 따른 입자크기분포의 정량적 특성 (Quantitative characteristics of particle size distribution by the wear mode transition)

  • 공호성;권오관
    • Tribology and Lubricants
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    • 제2권1호
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    • pp.39-45
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    • 1986
  • Wear simulation test have been conducted in mild, severe and transient wear regions by a four-ball wear tester. Wear particles are separatively deposited by the RPD technique, and quantitatively analysed in terms of wear particles size distribution. Characteristics of the wear particle size distribution are compare to the results of wear tests through both weibull parameters and center moment method of the weibull distribution function.