• Title/Summary/Keyword: Cumulative distribution function

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The Probabilistic Analysis of Fatigue Damage Accumulation Behavior Using Markov Chain Model in CFRP Composites (Markov Chain Model을 이용한 CFRP 복합재료의 피로손상누적거동에 대한 확률적 해석)

  • Kim, Do-Sik;Kim, In-Bai;Kim, Jung-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1241-1250
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    • 1996
  • The characteristics of fatigue cumulative damage and fatigue life of 8-harness satin woven CFRP composites with a circular hole under constant amplitude and 2-level block loading are estimated by Stochastic Makov chain model. It is found in this study that the fatigue damage accumulation behavior is very random and the fatigue damage is accumulated as two regions under constant amplitude fatigue loading. In constant amplitude fatigue loading the predicted mean number of cycles to a specified damage state by Markov chain model shows a good agreement with the test result. The predicted distribution of the fatigue cumulative damage by Markov chain model is similar to the test result. The fatigue life predictions under 2-level block loading by Markov chain model revised are good fitted to the test result more than by 2-parameter Weibull distribution function using percent failure rule.

Statistical Analysis for NDI Results of Aircraft Engine Component for Determining Crack Initiation Period (균열발생시기 결정을 위한 항공기 엔진 구성품의 비파괴검사 결과에 대한 통계적 분석)

  • Choi, Jae-Man;Kwon, Young-Han;Choi, Hwan-Seo;Yang, Seung-Hyo;Woo, Sang-Wook;Cho, Soon-Mi;Lee, Seung-Joo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1482-1487
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    • 2009
  • In this study statistical analysis was performed for NDI(Non-Destructive Inspection) results of F100 engine front seal support assembly. NDI results can be statistically considered as Quantal Response Data. It is found that the suitable probability distribution to the failure data is normal distribution through MLE(Maximum Likelihood Estimation) of the Quantal Response Data. Moreover, Cumulative Distribution Function, failure rate function and B-Life are calculated on the supposed distribution.

New Analytical Approach for Dual-hop AF Relay systems over Rayleigh Fading Channels (레일리 페이딩 채널에 대한 이중 홉 증폭 후 전달 릴레이 시스템의 새로운 분석 기법)

  • Ko, Kyun-Byoung;Seo, Jeong-Tae
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.8
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    • pp.1-6
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    • 2011
  • In this paper, another analytical approach for dual-hop amplify-and-forward(AF) relay systems is proposed over Rayleigh fading channels. Previous approaches derived the moment generating function(MGF) by using the cumulative distribution function(CDF) or probability density function(PDF) of the received signal-to-noise ratio(SNR) for source-relay-destination(S-R-D) link. Then, the average symbol error rate is expressed based on derived MGFs. In this paper, another new approach is proposed. It means that the MGF is directly derived by utilizing PDFs of both source-relay(S-R) and relay-destination(R-D) links. Additionary, the newly derived MGF is compared and analyzed with previous ones. Furthermore, simulation results are presented to validate the accuracy of proposed analytical expression. Based on this, it is confirmed that the proposed analytical approach can be a another solution for dual-hop AF relay systems.

Linear prediction and z-transform based CDF-mapping simulation algorithm of multivariate non-Gaussian fluctuating wind pressure

  • Jiang, Lei;Li, Chunxiang;Li, Jinhua
    • Wind and Structures
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    • v.31 no.6
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    • pp.549-560
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    • 2020
  • Methods for stochastic simulation of non-Gaussian wind pressure have increasingly addressed the efficiency and accuracy contents to offer an accurate description of the extreme value estimation of the long-span and high-rise structures. This paper presents a linear prediction and z-transform (LPZ) based Cumulative distribution function (CDF) mapping algorithm for the simulation of multivariate non-Gaussian fluctuating wind pressure. The new algorithm generates realizations of non-Gaussian with prescribed marginal probability distribution function (PDF) and prescribed spectral density function (PSD). The inverse linear prediction and z-transform function (ILPZ) is deduced. LPZ is improved and applied to non-Gaussian wind pressure simulation for the first time. The new algorithm is demonstrated to be efficient, flexible, and more accurate in comparison with the FFT-based method and Hermite polynomial model method in two examples for transverse softening and longitudinal hardening non-Gaussian wind pressures.

The New Criteria of Dissolved Gas Analysis for Oil-Filled Transformers Using a Cumulative Distribution Function

  • Cho, Sung-Min;Kim, Jae-Chul;Kweon, Dong-Jin;Koo, Kyo-Sun
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.21 no.9
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    • pp.87-94
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    • 2007
  • This paper presents new criteria for DGA(Dissolved Gases Analysis) using CDF(Cumulative Distribution Function) obtained from the data from the diagnosis of transformers operated in KEPCO over a period of 16 years. Because of differences in operating environments, construction type, oil volume, and other factors, the interpretative criteria of DGA at KEPCO differs from other standards such as IEC-60599, or Rogers and Doernenburg. To suggest the most appropriate criteria, the DGA data from transformers under normal conditions as well as from developing fault transformers were collected. Using these data, this study suggests the limitative gas level of transformers under normal operating conditions and verifies the suitability of the criteria. Because the application of this new criterion to transformers at KEPCO increases the detectable ratio of incipient faults and reduces unnecessary follow-up sampling and analysis, the new criteria yields a more reliable prediction of transformer condition.

Performance Analysis of Coordinated Multi-Point with Scheduling and Precoding schemes in LTE-Advanced System (LTE-Advanced 시스템에서 스케줄링 및 프리코딩을 결합한 다중 포인트 협력 통신 기법의 성능 분석)

  • Kim, Bora;Moon, Sangmi;Malik, Saransh;Kim, Cheolsung;Hwang, Intae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.27-33
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    • 2013
  • In this paper, we design and analyze the performance of Coordinated Multi-Point (CoMP) techniques to the number of users for next-generation cellular systems. We perform Monte Carlo simulations with Long Term Evolution-Advanced (LTE-Advanced) and confirm the performance from the graph of the Cumulative Distribution Function (CDF). From simulation results, we show the significant performance gain when CoMP technique is used and also show better performance when we apply the various schemes additionally as scheduling and precoding.

Accurate Range-free Localization Based on Quantum Particle Swarm Optimization in Heterogeneous Wireless Sensor Networks

  • Wu, Wenlan;Wen, Xianbin;Xu, Haixia;Yuan, Liming;Meng, Qingxia
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.3
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    • pp.1083-1097
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    • 2018
  • This paper presents a novel range-free localization algorithm based on quantum particle swarm optimization. The proposed algorithm is capable of estimating the distance between two non-neighboring sensors for multi-hop heterogeneous wireless sensor networks where all nodes' communication ranges are different. Firstly, we construct a new cumulative distribution function of expected hop progress for sensor nodes with different transmission capability. Then, the distance between any two nodes can be computed accurately and effectively by deriving the mathematical expectation of cumulative distribution function. Finally, quantum particle swarm optimization algorithm is used to improve the positioning accuracy. Simulation results show that the proposed algorithm is superior in the localization accuracy and efficiency when used in random and uniform placement of nodes for heterogeneous wireless sensor networks.

An Approximation Approach for A Multi-Product Continuous Review Inventory Problem with Budget Constraint (예산의 계약이 있는 다품종 연속적 재고 관리 문제에서 추정을 통한 해법)

  • Lee, Dong-Ju;Yoo, Jae-Wook;Lee, Moon-Su
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.31 no.4
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    • pp.134-139
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    • 2008
  • Most approaches for continuous review inventory problem need tables for loss function and cumulative standard normal distribution. Furthermore, it is time-consuming to calculate order quantity (Q) and reorder point (r) iteratively until required values are converged. The purpose of this paper is to develop a direct method to get the solution without any tables. We used approximation approaches for loss function and cumulative standard normal distribution. The proposed method can get the solution directly without any iterative procedure for Q, r and without any tables. The performance of the proposed approach is tested by using numerical examples. The budget constraint of this paper assumes that purchasing costs are paid at the time an order is arrived. This constraint can be easily replaced by capacity constraint or budget constraint in which' purchasing costs are paid at the time an order is placed.

Application of Intensity-Duration-Frequency Curve to Korea Derived by Cumulative Distribution Function (누가분포함수를 활용한 강우강도식의 국내 적용성 평가)

  • Kim, Kewtae;Kim, Taesoon;Kim, Sooyoung;Heo, Jun-Haeng
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4B
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    • pp.363-374
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    • 2008
  • Intensity-Duration-Frequency (IDF) curve that is essential to calculate rainfall quantiles for designing hydraulic structures in Korea is generally formulated by regression analysis. In this study, IDF curve derived by the cumulative distribution function ("IDF by CDF") of the proper probability distribution function (PDF) of each site is suggested, and the corresponding parameters of IDF curve are computed using genetic algorithm (GA). For this purpose, IDF by CDF and the conventional IDF derived by regression analysis ("IDF by REG") were computed for 22 Korea Meteorological Administration (KMA) rainfall recording sites. Comparisons of RMSE (root mean squared error) and RRMSE (Relative RMSE) of rainfall intensities computed from IDF by CDF and IDF by REG show that IDF by CDF is more accurate than IDF by REG. In order to accommodate the effect of the recent intensive rainfall of Korea, the rainfall intensities computed by the two IDF curves are compared with that by at-site frequency analysis using the rainfall data recorded by 2006, and the result from IDF by CDF show the better performance than that from IDF by REG. As a result, it can be said that the suggested IDF by CDF curve would be the more efficient IDF curve than that computed by regression analysis and could be applied for Korean rainfall data.

Semiparametric Bayesian Regression Model for Multiple Event Time Data

  • Kim, Yongdai
    • Journal of the Korean Statistical Society
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    • v.31 no.4
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    • pp.509-518
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    • 2002
  • This paper is concerned with semiparametric Bayesian analysis of the proportional intensity regression model of the Poisson process for multiple event time data. A nonparametric prior distribution is put on the baseline cumulative intensity function and a usual parametric prior distribution is given to the regression parameter. Also we allow heterogeneity among the intensity processes in different subjects by using unobserved random frailty components. Gibbs sampling approach with the Metropolis-Hastings algorithm is used to explore the posterior distributions. Finally, the results are applied to a real data set.