• 제목/요약/키워드: probability transformation method

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사면(斜面)의 삼차원(三次元) 파괴확률(破壞確率)에 관한 연구(硏究) (A Three Dimensional Study on the Probability of Slope Failure)

  • 김영수;임병조;백영식
    • 대한토목학회논문집
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    • 제3권3호
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    • pp.95-106
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    • 1983
  • 사면(斜面)의 3차원(次元) 파괴(破壞)의 신뢰성(信賴性) 해석(解析)에 안전율(安全率)대신 파괴확률(破壞確率)이 사용(使用)되었다. 강도정수(强度定數)는 정규분포(正規分布)와 베타분포(分布)(beta distribution)로 가정하였고 특별(特別)한 신뢰도(信賴度)와 최우추정법(最尤推定法)에 의하여 구간추정(區間推定)을 하였다. 정규분포(正規分布)와 베타분포(分布)의 의사무작위변수(擬似無作爲變數)는 중심극한정리(中心極限定理)와 Rejection방법(方法)에 따라 일양분포변환방법(一樣分布變換方法)을 사용(使用)하여 발생(發生)시켰고 몬테칼로방법 (Monte-Carlo Method)에 의한 파괴확률(破壞確率)은 다음과 같이 정의(定義)된다. $$P_f$$=M/N M: 파괴회수(破壞回數) N: 시행회수(施行回數) 본(本) 연구(硏究)의 결론(結論)은 강도정수(强度定數)를 정규분포(正規分布)로 가정한 경우에는 주어진 파괴표면(破壞表面)에 대하여 어떤 해석방법(解析方法)과 차원(次元)에 대해서도 안전율(安全率)과 파괴확률(破壞確率)과의 관계는 일정(一定)하였으나 베타분포(分布)로 가정 한 경우에는 일정(一定)한 관계가 나타나지 않았다.

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포아송 분포를 가정한 Wafer 수준 Statistical Bin Limits 결정방법과 표본크기 효과에 대한 평가 (Methods and Sample Size Effect Evaluation for Wafer Level Statistical Bin Limits Determination with Poisson Distributions)

  • 박성민;김영식
    • 산업공학
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    • 제17권1호
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    • pp.1-12
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    • 2004
  • In a modern semiconductor device manufacturing industry, statistical bin limits on wafer level test bin data are used for minimizing value added to defective product as well as protecting end customers from potential quality and reliability excursion. Most wafer level test bin data show skewed distributions. By Monte Carlo simulation, this paper evaluates methods and sample size effect regarding determination of statistical bin limits. In the simulation, it is assumed that wafer level test bin data follow the Poisson distribution. Hence, typical shapes of the data distribution can be specified in terms of the distribution's parameter. This study examines three different methods; 1) percentile based methodology; 2) data transformation; and 3) Poisson model fitting. The mean square error is adopted as a performance measure for each simulation scenario. Then, a case study is presented. Results show that the percentile and transformation based methods give more stable statistical bin limits associated with the real dataset. However, with highly skewed distributions, the transformation based method should be used with caution in determining statistical bin limits. When the data are well fitted to a certain probability distribution, the model fitting approach can be used in the determination. As for the sample size effect, the mean square error seems to reduce exponentially according to the sample size.

저 전력소모와 높은 테스트용이성을 위한 새로운 논리 변환 방법 (A New Logic Transformation Method for Both Low Power and High Testability)

  • 손윤식;정정화
    • 대한전자공학회논문지SD
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    • 제40권9호
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    • pp.692-701
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    • 2003
  • 본 논문에서는 저 전력소모와 높은 테스트용이성을 동시에 고려하기 위한 새로운 게이트 레벨 논리변환 방법을 제안한다. 주출력에서 관측될 확률이 낮은 CFF(Compact Fanout Free)를 찾아내고, 해당 CFF가 모든 주출력에서 관측불가능한 조건에서는 리던던트 연결을 첨가하여 내부에서 발생하는 스위칭 동작을 제거한다. 일반적으로 논리 변환된 회로의 테스트 용이성은 떨어지는 경향이 있다. 그러나 제안된 방법에서 첨가된 리던던트 연결은 테스트 모드에서 테스트 포인트로 동작하며 CFF의 제어도와 관측도를 동시에 향상시키게 된다. 따라서 논리 변환된 회로는 정상 모드에서는 전력 손실이 매우 낮으며, 테스트 모드에서는 높은 테스트용이성을 갖는다. 제안하는 논리 변환 방법의 효율성을 보이기 위하여 MCNC 벤치마크 테스트 회로에 대하여 실험을 수행하였다. 실험 결과로부터 변환된 회로의 전력소모는 최대 13%정도 감소하며, 고장 검출율은 오히려 증가함을 확인할 수 있다.

퍼지 적분을 도입한 계증구조 평가 알고리즘 (On the Evaluation Algrithm of Hierarchical Process using $\lambda$-Fuzzy Integral)

  • 여기태;노홍승;이철영
    • 해양환경안전학회지
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    • 제2권1호
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    • pp.97-106
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    • 1996
  • One of the main problems in evaluating complex objects, such as an ill-defined system, is how to treat ambiguous aspect of the evaluation. Due to the Complexity and ambiguity of the objects, many types of evaluation attributes should be identified based on the rational dsision. One of these attributes is an analytical hierarchy process (AHP). the weight of evaluation attribtes in AHP however comes from the probability measure based on the additivity. Therefore, it is notapplicable to the objects which have the property of non-additivity. In the previous studies by other researchers they intriduced the Hierarchical Fuzzy Integral method or mergd AHP and fuzzy measure for the analysis of the overlaps among the evaluation objects. But, they need more anlyses in terms of transformation of the probability measure into fuzzy measure which fits for the additivity and overlapping coefficient which affects to the fuzzy measure. Considering these matters, this paper deals that, ⅰ) clarifying the relation between the fuzzy and probability measure adopted in AHP, ii) calculating directly the family of fuzzy measure from the overlapping coefficient and probability measure. A simple algorithm for the calculation of fuzzy measures and set family of those from the above results is also proposed. Finally, the effectiveness of the algorithm developed by applying this to the problems for estimation of safety in ship berthing and for evaluation of ports in competition is verified. This implied that the new algoritnm gives better description of the system evaluation.

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Influence of soil-structure interaction on seismic responses of offshore wind turbine considering earthquake incident angle

  • Sharmin, Faria;Hussan, Mosaruf;Kim, Dookie;Cho, Sung Gook
    • Earthquakes and Structures
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    • 제13권1호
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    • pp.39-50
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    • 2017
  • Displacement response and corresponding maximum response energy of structures are key parameters to assess the dynamic effect or even more destructive structural damage of the structures. By employing them, this research has compared the structural responses of jacket supported offshore wind turbine (OWT) subjected to seismic excitations apprehending earthquake incidence, when (a) soil-structure interaction (SSI) has been ignored and (b) SSI has been considered. The effect of earthquakes under arbitrary angle of excitation on the OWT has been investigated by means of the energy based wavelet transformation method. Displacement based fragility analysis is then utilized to convey the probability of exceedance of the OWT at different soil site conditions. The results show that the uncertainty arises due to multi-component seismic excitations along with the diminution trend of shear wave velocity of soil and it tends to reduce the efficiency of the OWT to stand against the ground motions.

Degradation reliability modeling of plain concrete for pavement under flexural fatigue loading

  • Jia, Yanshun;Liu, Guoqiang;Yang, Yunmeng;Gao, Ying;Yang, Tao;Tang, Fanlong
    • Advances in concrete construction
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    • 제9권5호
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    • pp.469-478
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    • 2020
  • This study aims to establish a new methodological framework for the evaluation of the evolution of the reliability of plain concrete for pavement vs number of cycles under flexural fatigue loading. According to the framework, a new method calculating the reliability was proposed through probability simulation in order to describe a random accumulation of fatigue damage, which combines reliability theory, one-to-one probability density functions transformation technique, cumulative fatigue damage theory and Weibull distribution theory. Then the statistical analysis of flexural fatigue performance of cement concrete tested was carried out utilizing Weibull distribution. Ultimately, the reliability for the tested cement concrete was obtained by the proposed method. Results indicate that the stochastic evolution behavior of concrete materials under fatigue loading can be captured by the established framework. The flexural fatigue life data of concrete at different stress levels is well described utilizing the two-parameter Weibull distribution. The evolution of reliability for concrete materials tested in this study develops by three stages and may corresponds to develop stages of cracking. The proposed method may also be available for the analysis of degradation behaviors under non-fatigue conditions.

초저출산율에 따른 시도별 출산율 변동을 반영한 예측 연구 (A study on prediction for reflecting variation of fertility rate by province under ultra-low fertility in Korea)

  • 오진호
    • 응용통계연구
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    • 제34권1호
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    • pp.75-98
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    • 2021
  • 본 논문은 전국과 시도별 출산율의 관계를 규명하는 세 가지 통계적 모형을 비교한다. 세 모형은 10년간 평균 연령별 누적출산율의 Gompit변환 자료를 대입한 회귀모형, 연령별 출산율 자료 변환 없이 원자료를 적용한 회귀모형, 그리고 확률과정 관점에서 불안정한 연령별 출산율 시계열을 적합할 경우 고려할 수 있는 공적분 모형이다. 본 논문은 전국과 지역간 비정상성 출산율의 관계를 도출하고자 할 때 다음을 제안한다. 전국과 지역 출산율의 공적분 관계식를 선행적으로 도출한다. 더 나아가 이 관계가 유의하지 않으면 변환 없는 원자료를 활용한 회귀모형 접근으로 전국과 시도별 출산율 관계를 살펴보는 것을 제안한다. 또한 Gompit 변환 자료를 대입한 회귀모형 방법은 출산율이 다른 방식과 비교해 과대추정되는 결과가 도출되었다. 끝으로 서울, 부산, 대구, 인천, 광주, 대전, 경기는 2025-2030년까지 타 지역과 다르게 합계출산율이 1.0명 이하로 예측되므로 시급하고 효율성 있는 출산율 제고정책이 필요하다고 판단된다.

DCT and DWT Based Robust Audio Watermarking Scheme for Copyright Protection

  • Deb, Kaushik;Rahman, Md. Ashikur;Sultana, Kazi Zakia;Sarker, Md. Iqbal Hasan;Chong, Ui-Pil
    • 융합신호처리학회논문지
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    • 제15권1호
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    • pp.1-8
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    • 2014
  • Digital watermarking techniques are attracting attention as a proper solution to protect copyright for multimedia data. This paper proposes a new audio watermarking method based on Discrete Cosine Transformation (DCT) and Discrete Wavelet Transformation (DWT) for copyright protection. In our proposed watermarking method, the original audio is transformed into DCT domain and divided into two parts. Synchronization code is applied on the signal in first part and 2 levels DWT domain is applied on the signal in second part. The absolute value of DWT coefficient is divided into arbitrary number of segments and calculates the energy of each segment and middle peak. Watermarks are then embedded into each middle peak. Watermarks are extracted by performing the inverse operation of watermark embedding process. Experimental results show that the hidden watermark data is robust to re-sampling, low-pass filtering, re-quantization, MP3 compression, cropping, echo addition, delay, and pitch shifting, amplitude change. Performance analysis of the proposed scheme shows low error probability rates.

WPMM 방법을 이용한 레이더 강수량 추정 : 1. 1998년 여름철 관악산 DWSR-88C를 위한 Ze-R 관계식 산출 (Radar Rainfall Estimation Using Window Probability Matching Method : 1. Establishment of Ze-R Relationship for Kwanak Mt, DWSR-88C at Summer, 1998)

  • 김효경;이동인;유철환;권원태
    • 한국수자원학회논문집
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    • 제35권1호
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    • pp.25-36
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    • 2002
  • 1998년 여름철, 기상레이더와 레이더 주위의 고밀도 우량계 관측자료를 이용하여 $Z_{e}-R$ 관계식을 산출하기 위하여 관악산 레이더 자료와 강우강도 자료의 확률밀도함수를 구해 확률이 같은 지점을 매치시키는 Window Probability Matching Method(WPMM)라는 통계적 방법을 사용하였다. 레이더 반사도의 확률 분포는 약 15dBZ에서 가장 많은 빈도 분포를 보였고 강우강도의 확률분포는 대부분의 영역에서 시간당 10mm 이하의 비가 내리는 것으로 나타났다. WPMM을 이용한 $Z_{e}-R$ 관계식은 로그 좌표계에서 곡선형의 분포를 가지고 있어 직선형의 분포를 가지는 멱급수 형태의 관계식에 비해 반사도를 강우량으로 전환하는데 있어 더 나은 것으로 나타났다. 특히, 3개월 동안의 누적 강수량 산출시 $Z=200R^{1.6}$ 식은 실제 우량계 강수량의 44%만을 추정하는데 반해 WPMM의 경우는 실제 강수량의 80%까지 근접하는 것으로 나타났다.

설계갈수량의 유도를 위한 수문통계학적 연구 (I) (Statistical Studies on the Derivation of Design Low Flows (I))

  • 이순혁;박영근;박종근
    • 한국농공학회지
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    • 제34권3호
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    • pp.43-52
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    • 1992
  • Design low flows were derived from the decision of a best fitting probability distribution and of an optimum transformation method can be contributed to the planning of water utilization and management of various hydraulic structures during dry season in the main river systems in Korea. The results were analyzed and summarized as follows. 1.Basic statistics for the selected watersheds were calculated as one of means for the analysis of extremal distribution. 2.Parameters for the different frequency distributions were calculated by the method of moment. 3.Type m extremal distribution was confirmed as a best one among others for the frequency distribution of the low flows by x$^2$ goodness of fit test. 4.Formulas for the design low flows of the Type m extremal distribution with two and three parameters were dervied for the selected watersheds. 5.Design low flows for the Type m extremal distribution when a minimum drought is zero or larger than zero were derived for the selected watersheds, respectively. 6.Design low flows of the Type m extremal distribution with two parameters are appeared to be reasonable when a minimum drought approaches to zero and the observed low flows varied within a relating small range while those with three parameters are seemed to be consistent with the probability distribution of low flows when a minimum drought is larger than zero and the observed low flows showed a wide range.

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