• Title/Summary/Keyword: Probability theory

Search Result 689, Processing Time 0.218 seconds

The Reliability Analysis for Homogeneous Slope Stability Using Stochastic Finite Element Method (확율유한요소법을 이용한 균질 사면의 신뢰성 해석)

  • 조래청;도덕현
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.38 no.5
    • /
    • pp.125-139
    • /
    • 1996
  • This study was performed to provide the design method for soil structure which guarantees proper safety with uncertainty of soil parameters. For this purpose, the effect of uncertainty of soil parameters for slope stability was analyzed by Bishop's simplified method and Monte Carlo simulation(MC). And reliability analysis program, RESFEM, was developed by combining elastic theory, MC, FEM, SFEM, and reliability, which can consider uncertainty of soil parameters. For factor of safety(FS) 1.0 and 1.2 by Bishop's simplified method, the probability of failure(Pf) was analyzed with varying coefficient of variation(c.o.v.) of soil parameters. The Pf increased as c.o.v. of soil parameters increased. This implies that FS is not the absolute index of slope safety, and even if FS is same, it has different Pf according to c.o.v. of soil parameters. The RESFEM was able to express the Pf at each element in slope quantitatively according to uncertainty of soil parameters. The variation of Pf with uncertainty of soil parameters was analyzed by RESFEM, and it was shown that the Pf increased as the c.o.v. of soil parameters increased.

  • PDF

Drought Evaluation by A Drought Frequency Formula (가뭄빈도공식을 이용한 가뭄의 평가)

  • Kang, In-Joo;Yoon, Yong-Nam
    • Journal of the Korean Society of Hazard Mitigation
    • /
    • v.2 no.3 s.6
    • /
    • pp.89-99
    • /
    • 2002
  • Drought is a very difficult natural disaster to overcome because its beginning and end are not clear to define, and it is widely distributed in space and has long term persistence. The purpose of this study was to evaluate the drought at Mokpo using drought frequency formula suggested by Sharma(1997). The precipitation records for the period 1906-1999 at Mokpo meteorological station are used for drought analysis. The most severe drought year is found to be that of 1995, which is of the 30-year frequency, and 18 drought years are selected based on the 5-year drought frequency.

On Some Distributions Generated by Riff-Shuffle Sampling

  • Son M.S.;Hamdy H.I.
    • International Journal of Contents
    • /
    • v.2 no.2
    • /
    • pp.17-24
    • /
    • 2006
  • The work presented in this paper is divided into two parts. The first part presents finite urn problems which generate truncated negative binomial random variables. Some combinatorial identities that arose from the negative binomial sampling and truncated negative binomial sampling are established. These identities are constructed and serve important roles when we deal with these distributions and their characteristics. Other important results including cumulants and moments of the distributions are given in somewhat simple forms. Second, the distributions of the maximum of two chi-square variables and the distributions of the maximum correlated F-variables are then derived within the negative binomial sampling scheme. Although multinomial theory applied to order statistics and standard transformation techniques can be used to derive these distributions, the negative binomial sampling approach provides more information and deeper insight regarding the nature of the relationship between the sampling vehicle and the probability distributions of these functions of chi-square variables. We also provide an algorithm to compute the percentage points of these distributions. We supplement our findings with exact simple computational methods where no interpolations are involved.

  • PDF

The Role of Negative Binomial Sampling In Determining the Distribution of Minimum Chi-Square

  • Hamdy H.I.;Bentil Daniel E.;Son M.S.
    • International Journal of Contents
    • /
    • v.3 no.1
    • /
    • pp.1-8
    • /
    • 2007
  • The distributions of the minimum correlated F-variable arises in many applied statistical problems including simultaneous analysis of variance (SANOVA), equality of variance, selection and ranking populations, and reliability analysis. In this paper, negative binomial sampling technique is employed to derive the distributions of the minimum of chi-square variables and hence the distributions of the minimum correlated F-variables. The work presented in this paper is divided in two parts. The first part is devoted to develop some combinatorial identities arised from the negative binomial sampling. These identities are constructed and justified to serve important purpose, when we deal with these distributions or their characteristics. Other important results including cumulants and moments of these distributions are also given in somewhat simple forms. Second, the distributions of minimum, chisquare variable and hence the distribution of the minimum correlated F-variables are then derived within the negative binomial sampling framework. Although, multinomial theory applied to order statistics and standard transformation techniques can be used to derive these distributions, the negative binomial sampling approach provides more information regarding the nature of the relationship between the sampling vehicle and the probability distributions of these functions of chi-square variables. We also provide an algorithm to compute the percentage points of the distributions. The computation methods we adopted are exact and no interpolations are involved.

Analysis of Breakdown Voltage Dispersion and Breakdown Process in Mineral Oil (광유 중 절연파괴전압의 분산과 절연파괴진전 과정의 분석)

  • Lim, Dong-Young;Park, Sung-Gyu;Park, Cheol-Ho;Kim, Ki-Chai;Lee, Kwang-Sik;Choi, Eun-Hyeok
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.29 no.6
    • /
    • pp.35-41
    • /
    • 2015
  • This paper presents a breakdown voltage and a process of breakdown progress in mineral oil under an quasi-uniform field with decomposition products which occur after the oil discharge. The breakdown voltage in the oil revealed the characteristics of dispersion regardless of an electrode gap. The cumulative probability distribution was used to analyze the dispersion of the breakdown voltage. In addition, the process of breakdown progress in the oil can be reasonably described by the electron breakdown theory based on both electrons emitted from the cathode and ions by field-aided dissociation of the oil. The proposed breakdown process will be used for the basic data to explain the behavior pattern of the decomposition product to cause the dispersion of the breakdown voltage.

The evaluation of the simultaneous flow rate for sizing the water supply piping in the office building (사무소 건물의 급수배관경 산정을 위한 동시사용유량에 관한 연구)

  • 이용화
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.11 no.4
    • /
    • pp.511-517
    • /
    • 1999
  • Determining the simultaneous flow rate in any particular section of piping is the important step in order to determine the size of water supply piping. Now we are using the diversity curve of common water closet in order to determine the simultaneous flow rate of water supply piping, but there is a difference between a determined flow rate of general water closet and that of water closet for water saving. This study aims to find out the fixture unit of a flush valve type water closet for water saving in office building, and to determine the correlation between the fixture units and peak flow rates on the basis of the probability theory. A flush valve type water closet for water saving that have a 7.5 second duration of flush operation with an average design flow rate 72 $\ell$/fin was considered. Simulation results indicate that the number 5 is shown to be reasonable to the fixture unit of water closet for water saving. And the design can be undersized considerably with the revised diversity curves using modified fixture unit.

  • PDF

Optimum Maintenance and Retrofit Planning for Reliable Seismic Performance of the Bridges (내진성능확보를 위한 교량의 최적유지보수계획법)

  • 고현무;이선영;박관순;김동석
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.6 no.5
    • /
    • pp.29-36
    • /
    • 2002
  • In the maintenance and retrofit planning of a bridge system, the optimal strategy for inspection and repair are suggested by minimizing the expected total life-cycle cost, which includes the initial cost, the costs of inspection, repair, and failure. Degradation of seismic performance is modeled by using a damage function. And failure probability is computed according to the degree of damage detection by random vibration theory and the event tree analysis. As an example to illustrate the proposed approach, a 10-span continuous bridge structure is used. The numerical results show that the optimum number of the inspection and the repair are increased, as the seismic intensity is increased and the soil condition of a site becomes more flexible.

The impact of artificial discrete simulation of wind field on vehicle running performance

  • Wu, Mengxue;Li, Yongle;Chen, Ning
    • Wind and Structures
    • /
    • v.20 no.2
    • /
    • pp.169-189
    • /
    • 2015
  • To investigate the effects of "sudden change" of wind fluctuations on vehicle running performance, which is caused by the artificial discrete simulation of wind field, a three-dimensional vehicle model is set up with multi-body dynamics theory and the vehicle dynamic responses in crosswind conditions are obtained in time domain. Based on Hilbert Huang Transform, the effects of simulation separations on time-frequency characteristics of wind field are discussed. In addition, the probability density distribution of "sudden change" of wind fluctuations is displayed, addressing the effects of simulation separation, mean wind speed and vehicle speed on the "sudden change" of wind fluctuations. The "sudden change" of vehicle dynamic responses, which is due to the discontinuity of wind fluctuations on moving vehicle, is also analyzed. With Principal Component Analysis, the comprehensive evaluation of vehicle running performance in crosswind conditions at different simulation separations of wind field is investigated. The results demonstrate that the artificial discrete simulation of wind field often causes "sudden change" in the wind fluctuations and the corresponding vehicle dynamic responses are noticeably affected. It provides a theoretical foundation for the choice of a suitable simulation separation of wind field in engineering application.

Durability Prediction for Concrete Structures Exposed to Carbonation Using a Bayesian Approach (베이지안 기법을 이용한 중성화에 노출된 콘크리트 구조물의 내구성 예측)

  • Jung, Hyun-Jun;Kim, Gyu-Seon;Ju, Min-Kwan;Lee, Sang-Cheol
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2009.05a
    • /
    • pp.275-276
    • /
    • 2009
  • This paper provides a new approach for predicting the corrosion resistivity of reinforced concrete structures exposed to carbonation. In this method, the prediction can be updated successively by a Bayesian theory when additional data are available. The stochastic properties of model parameters are explicitly taken into account into the model. To simplify the procedure of the model, the probability of the durability limit is determined from the samples obtained from the Latin hypercube sampling technique. The new method may be very useful in designing important concrete structures and help to predict the remaining service life of existing concrete structures which have been monitored.

  • PDF

Uncertainty Improvement of Incomplete Decision System using Bayesian Conditional Information Entropy (베이지언 정보엔트로피에 의한 불완전 의사결정 시스템의 불확실성 향상)

  • Choi, Gyoo-Seok;Park, In-Kyu
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.14 no.6
    • /
    • pp.47-54
    • /
    • 2014
  • Based on the indiscernible relation of rough set, the inevitability of superposition and inconsistency of data makes the reduction of attributes very important in information system. Rough set has difficulty in the difference of attribute reduction between consistent and inconsistent information system. In this paper, we propose the new uncertainty measure and attribute reduction algorithm by Bayesian posterior probability for correlation analysis between condition and decision attributes. We compare the proposed method and the conditional information entropy to address the uncertainty of inconsistent information system. As the result, our method has more accuracy than conditional information entropy in dealing with uncertainty via mutual information of condition and decision attributes of information system.