• Title/Summary/Keyword: 와이블 분포함수

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Statistical frequency analysis of snow depth using mixed distributions (혼합분포함수를 적용한 최심신적설량에 대한 수문통계학적 빈도분석)

  • Park, Kyung Woon;Kim, Dongwook;Shin, Ji Yae;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.52 no.12
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    • pp.1001-1009
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    • 2019
  • Due to recent increasing heavy snow in Korea, the damage caused by heavy snow is also increasing. In Korea, there are many efforts including establishing disaster prevention measures to reduce the damage throughout the country, but it is difficult to establish the design criteria due to the characteristics of heavy snow. In this study, snowfall frequency analysis was performed to estimate design snow depths using observed snow depth data at Jinju, Changwon and Hapcheon stations. The conventional frequency analysis is sometime limted to apply to the snow depth data containing zero values which produce unrealistc estimates of distributon parameters. To overcome this problem, this study employed mixed distributions based on Lognormal, Generalized Pareto (GP), Generalized Extreme Value (GEV), Gamma, Gumbel and Weibull distribution. The results show that the mixed distributions produced smaller design snow depths than single distributions, which indicated that the mixed distributions are applicable and practical to estimate design snow depths.

Field data analyses for repairable products (수리가능한 제품의 사용현장 데이터 분석)

  • 배도선;윤형제;최인수
    • The Korean Journal of Applied Statistics
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    • v.8 no.2
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    • pp.133-145
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    • 1995
  • This paper is concerned with the method of estimating lifetime distribution from field data for repairable products with multiple modes of failure, and is an extension of Bai et al.(1995). The log linear function is considered as a model for describing the relation between failure time of a product and covariates. Using the nonhomogeneous poisson process, general methods for obtaining pseudo maximum likelihood estimators(PMLEs) for the parameters are outlined and specific formulas for Weibull distribution are obtained. Effects of follow-up percentage on the PMLEs are investigated. Extension to case-cohort design is also considered.

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A Study on the Compensation Condition and the Lifetime Prediction in Power Cable (전력케이블의 수명평가와 보상조건에 관한 기초연구)

  • Lim, Jang-Seob;Noh, Sung-Ho;Kim, Ji-Sun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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    • pp.50-50
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    • 2010
  • 전력케이블의 수명예측은 전력설비의 적절한 전력설비의 신뢰성 확보에 목적이 있다. 그러나 장기간의 수명으로 설계되는 관계로 가속실험을 수행하여 중장기적인 절연성 추세를 평가하기 위해서 와이블 분포함수와 같은 통계적인 접근과 수영과 관련된 보상조건에 대한 고려가 필수적이다.

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Reliability Estimation of Steam Turbine Blade Using First Order Reliability Method (FORM을 이용한 증기 터빈블레이드의 신뢰성 평가)

  • 황진호;김철수;김정규
    • Proceedings of the Korean Reliability Society Conference
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    • 2002.06a
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    • pp.199-204
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    • 2002
  • 본 연구에서는 저압 증기 터빈블레이드의 안전성 확보를 위하여 작용응력 및 강도의 변동성을 고려한 확률론적 해석을 수행하였다. 정상상태에서 작용응력은 이론 및 유한요소해석에 의해서 얻을 수 있으며, 최대 von-Mises 응력은 215.4MPa이다. 회전굽힘 하중하에서의 피로한도는 응력비 R= -1에서 계단식 시험법을 이용하여 구하였으며, 이의 확률론적 특성에 가장 적합한 분포는 3 모수 와이블 분포이다. 그리고 신뢰성에 미치는 다양한 인자들의 영향은 영향계수(sensitivity factor)를 이용하여 정량적으로 평가하였다.

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스프링의 피로 파손 확률 분포 예측

  • Kim, Hyung-Ik;Heo, Yong;Park, Jae-Sil;Seok, Chang-Sung;Jang, Pil-Soo;Joo, Jae-Man;Kang, Jung-Hoon
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.05a
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    • pp.78-78
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    • 2004
  • 기계 및 구조물의 설계시에는 허용응력 이하의 설계 조건으로 설계하지만 반복 작동을 하게 되는 기계 시스템의 경우에는 피로에 의한 파괴 현상이 나타나게 된다. 대부분의 기계 및 구조물은 사용시 변동 하중 상태에 놓이는 경우가 많게 되고 이로 인해 변동 응력이 작용되며 그 재료의 정적 강도보다 상당히 작은 간이라도 반복횟수가 증가함으로써 금속재료의 강도가 저하되어 결국 피로 파괴가 발생한다. 자동차, 항공기, 압축기, 펌프, 터빈 등과 같이 반복 작동을 하게 되는 기계 시스템에서 일어나는 파괴 현상 중에서 피로 파괴가 차지하는 비율이 점차 늘어나고 있다.(중략)

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Analysis on the Relationship between Number of Species and Survey Area of Benthic Macroinvertebrates Using Weibull Distribution Function (와이블 분포함수를 이용한 저서성 대형무척추동물의 종수-조사면적 관계 해석)

  • Kong, Dongsoo;Kim, Ah Reum
    • Journal of Korean Society on Water Environment
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    • v.31 no.2
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    • pp.142-150
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    • 2015
  • The relationship between the number of benthic macroinvertebrate species and the accumulated survey area were investigated in a clean stream and an impaired stream of Korea. Five models to characterize species-area functions were compared, and the Weibull model fitted species-area data well. The other models (Arrhenius, Romell-Gleason, Kylin, Lognormal model) had small or notable bias. The maximum number of species and half-saturation area derived from the Weibull model may be used as the indicators of the carrying capacity and the habitat complexity respectively.

A Proposal of parameter Determination Method in the Residual Strength Degradation Model for the Prediction of Fatigue Life(II) (피로수명예측을 위한 잔류강도 저하모델의 파라미터 결정법 제안(II))

  • Kim, Sang-Tae;Jang, Seong-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.9
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    • pp.1452-1460
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    • 2001
  • A new method of parameter determination in the fatigue residual strength degradation model is proposed. The new method and minimization technique is compared experimentally to account for the effect of tension-compression fatigue loading of spheroidal graphite cast iron and graphite/epoxy laminate. It is shown that the correlation between the experimental results and the theoretical prediction on the fatigue life and residual strength distribution using the proposed method is very reasonable. Therefore, the proposed method is more adjustable in the determination of the parameter than minimization technique for the prediction of the fatigue characteristics.

Sigmoid Curve Model for Software Test-Effort Estimation (소프트웨어 시험 노력 추정 시그모이드 모델)

  • Lee, Sang-Un
    • The KIPS Transactions:PartD
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    • v.11D no.4
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    • pp.885-892
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    • 2004
  • Weibull distribution Iincluding Rayleigh and Exponential distribution is a typical model to estimate the effort distribution which is committed to the software testing phase. This model does not represent standpoint that many efforts are committed actually at the test beginning point. Moreover, it does not properly represent the various distribution form of actual test effort. To solve these problems, this paper proposes the Sigmoid model. The sigmoid function to be applicable in neural network transformed into the function which properly represents the test effort of software in the model. The model was verified to the six test effort data which were got from actual software projects which have various distribution form and verified the suitability. The Sigmoid model nay be selected by the alternative of Weibull model to estimate software test effort because it is superior than the Weibull model.

Optimal Thresholds from Non-Normal Mixture (비정규 혼합분포에서의 최적분류점)

  • Hong, Chong-Sun;Joo, Jae-Seon
    • The Korean Journal of Applied Statistics
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    • v.23 no.5
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    • pp.943-953
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    • 2010
  • From a mixture distribution of the score random variable for credit evaluation, there are many methods of estimating optimal thresholds. Most the research news is based on the assumption of normal distributions. In this paper, we extend non-normal distributions such as Weibull, Logistic and Gamma distributions to estimate an optimal threshold by using a hypotheses test method and other methods maximizing the total accuracy and the true rate. The type I and II errors are obtained and compared with their sums. Finally we discuss their e ciency and derive conclusions for non-normal distributions.

On the Statistical Properties of the Parameters B and q in Creep Crack Growth Law, da/dt=B(C*)q, in the Case of Mod. 9Cr-1Mo Steel (Mod. 9Cr-1Mo강의 크리프 균열 성장 법칙의 파라메터 B와 q의 통계적 성질에 관한 연구)

  • Kim, Seon-Jin;Park, Jae-Young;Kim, Woo-Gon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.3
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    • pp.251-257
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    • 2011
  • This paper deals with the statistical properties of parameters B and q in the creep crack growth rate (CCGR) law, da/dt=B$(C^*)^q$, in Mod. 9Cr-1Mo (ASME Gr.91) steel which is considered a candidate materials for fabricating next generation nuclear reactors. The CCGR data were obtained by creep crack growth (CCG) tests performed on 1/2-inch compact tension (CT) specimens under an applied load of 5000N at a temperature of $600^{\circ}C$. The CCG behavior was analyzed statistically using the empirical equation between CCGR, da/dt and the creep fracture mechanics parameter, $C^*$. The B and q values were determined for each specimen by the least-squares fitting method. The probability distribution functions for B and q were investigated using normal, log-normal, and Weibull distributions. As far as this study is considered, it can be appeared that B and q followed the log-normal and Weibull distributions. Moreover, a strong positive linear correlation was found between B and q.