• 제목/요약/키워드: error distribution

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A Practical Voltage Error Correction Technique for Distribution System under Distribution Automation Environment

  • Aslam, Muhammad;Kim, Hyung-Seung;Choi, Myeon-Song;Lee, Seung-Jae
    • Journal of Electrical Engineering and Technology
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    • 제13권2호
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    • pp.669-676
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    • 2018
  • Transmission system has been well studied since long time and power system techniques of distribution system are more or less derived from transmission system. However, unlike transmission systems, many practical issues are encountered in the distribution system. Considerable amount of error is observed in voltage obtained from the Feeder Remote Terminal Units (FRTUs) measured by the pole mounted PTs along the distribution feeder. Load uncertainty is also an issue in distribution system. Further, penetration of Distributed Generators (DGs) creates voltage variations in the system. Hybrid radial/ loop distribution system also make it complicated to handle distribution system. How these constraints to be handled under Distribution Automation (DAS) environment in order to obtain error free voltage is described in this paper and therefore, a new approach of voltage error correction technique has been proposed. The proposed technique utilizes reliable data from substation and the FRTUs installed in DAS. The proposed technique adopts an iterative process for voltage error correction. It has been tested and proved accurate not only for conventional radial systems but also for loop distribution systems.

삼각 과오 분포를 가진 불완전한 검사원의 과대 추정 확률과 분석 (Analysis and Probability of Overestimation by an Imperfect Inspector with Errors of Triangular Distributions)

  • 양문희;조재형
    • 산업경영시스템학회지
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    • 제41권2호
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    • pp.117-132
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    • 2018
  • There always exist nonzero inspection errors whether inspectors are humans or automatic inspection machines. Inspection errors can be categorized by two types, type I error and type II error, and they can be regarded as either a constant or a random variable. Under the assumption that two types of random inspection errors are distributed with the "uniform" distribution on a half-open interval starting from zero, it was proved that inspectors overestimate any given fraction defective with the probability more than 50%, if and only if the given fraction defective is smaller than a critical value, which depends upon only the ratio of a type II error over a type I error. In addition, it was also proved that the probability of overestimation approaches one hundred percent as a given fraction defective approaches zero. If these critical phenomena hold true for any error distribution, then it might have great economic impact on commercial inspection plans due to the unfair overestimation and the recent trend of decreasing fraction defectives in industry. In this paper, we deal with the same overestimation problem, but assume a "symmetrical triangular" distribution expecting better results since our triangular distribution is closer to a normal distribution than the uniform distribution. It turns out that the overestimation phenomenon still holds true even for the triangular error distribution.

Noncentral F-Distribution for an M-ary Phase Shift Keying Wedge-Shaped Region

  • Kim, Jung-Su;Chong, Jong-Wha
    • ETRI Journal
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    • 제31권3호
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    • pp.345-347
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    • 2009
  • This letter presents an alternative analytical expression for computing the probability of an M-ary phase shift keying (MPSK) wedge-shaped region in an additive white Gaussian noise channel. The expression is represented by the cumulative distribution function of known noncentral F-distribution. Computer simulation results demonstrate the validity of our analytical expression for the exact computation of the symbol error probability of an MPSK system with phase error.

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표집오차(sampling error)와 표집분포(sampling distribution)의 용어 사용에 관한 연구 (A Study of Using the Terminology of Sampling Error and Sampling Distribution)

  • 김응환
    • 한국학교수학회논문집
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    • 제9권3호
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    • pp.309-316
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    • 2006
  • 이 논문에서는 현재 중등학교 수학의 통계교육에서 다루고 있는 통계용어의 의미상 혼선과 애매한 내용을 수학교사를 대상으로 알아보고, 표본평균의 확률분포에 대한 지도 영역에 있어서 표집(sampling, 표본추출)의 문맥에서 표집오차(sampling error)와 표본평균의 표집분포(sampling distribution)라는 용어를 도입하여 일관성 있게 사용할 것을 제안하였다. 현행 중고등학교의 수학과의 통계의 용어 정의와 개념설명에 있어서, 교육부가 검정한 12종의 검정 교과서와 국정교과서 간에서도 차이는 물론 의미의 혼선과 함께 정의의 일관성의 부족은 통계를 교육하는 수학교사와 학생들에게 심각한 오개념을 형성하게 만들고, 그 애매함으로 인하여 통계학의 학문 자체에 대한 흥미와 태도의 정의적인 면에서 부정적인 영향을 주고 있음이 발견되었다 본 연구에서는 표본평균의 확률분포의 효율적인 지도를 위한 표본오차 대신에 표집오차를 사용할 것과 표집분포의 용어를 도입함으로서 통계용어의 정확한 사용을 동하여 교사와 학생들에게 통계용어의 올바른 개념의 형성과 이해는 물론 통계교육의 일관성과 계열성 유지의 필요성을 제기하였다.

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지수 형 수명분포를 따르는 소프트웨어 신뢰모형 분석에 관한 연구 (A Study on the Software Reliability Model Analysis Following Exponential Type Life Distribution)

  • 김희철;문송철
    • Journal of Information Technology Applications and Management
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    • 제28권4호
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    • pp.13-20
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    • 2021
  • In this paper, I was applied the life distribution following linear failure rate distribution, Lindley distribution and Burr-Hatke exponential distribution extensively used in the arena of software reliability and were associated the reliability possessions of the software using the nonhomogeneous Poisson process with finite failure. Furthermore, the average value functions of the life distribution are non-increasing form. Case of the linear failure rate distribution (exponential distribution) than other models, the smaller the estimated value estimation error in comparison with the true value. In terms of accuracy, since Burr-Hatke exponential distribution and exponential distribution model in the linear failure rate distribution have small mean square error values, Burr-Hatke exponential distribution and exponential distribution models were stared as the well-organized model. Also, the linear failure rate distribution (exponential distribution) and Burr-Hatke exponential distribution model, which can be viewed as an effectual model in terms of goodness-of-fit because the larger assessed value of the coefficient of determination than other models. Through this study, software workers can use the design of mean square error, mean value function as a elementary recommendation for discovering software failures.

Error Rate for the Limiting Poisson-power Function Distribution

  • Joo-Hwan Kim
    • Communications for Statistical Applications and Methods
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    • 제3권1호
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    • pp.243-255
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    • 1996
  • The number of neutron signals from a neutral particle beam(NPB) at the detector, without any errors, obeys Poisson distribution, Under two assumptions that NPB scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of signals becomes a Poisson-power function distribution. In this paper, we show that the error rate in simple hypothesis testing for the limiting Poisson-power function distribution is not zero. That is, the limit of ${\alpha}+{\beta}$ is zero when Poisson parameter$\kappa\rightarro\infty$, but this limit is not zero (i.e., $\rho\ell$>0)for the Poisson-power function distribution. We also give optimal decision algorithms for a specified error rate.

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가변롤성형 공정을 이용한 단면이 가변하는 프로파일의 형상변수 분석에 관한 연구 (Investigation of Shape Parameters for a Profile with Variable-cross Sections Produced by Flexible Roll Forming)

  • 박종철;차명환;김돈건;남재복;양동열
    • 소성∙가공
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    • 제23권6호
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    • pp.369-375
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    • 2014
  • Flexible roll forming allows profiles to have variable cross-sections. However, the profile may have some shape errors, such as, warping which is a major defect. The shape error is induced by geometrical deviations in both the concave zone and the convex zone. In the current study, flexible roll forming was modeled with FE simulations to analyze the shape error and the longitudinal strain distribution along the flange section over the profile. A distribution of analytically calculated longitudinal strains was used to develop relationships between the shape error and the longitudinal strain distribution as a function of the defined shape parameters for the profile. The FE simulations showed that the shape error is primarily affected by the deviations between the distribution of analytically calculated longitudinal strain and the longitudinal strain distribution of the profile. The results show that the shape error can be controlled by designing the shape parameters to control the geometrical deviations at the flange section in the transition zones.

Novel approach to predicting the release probability when applying the MARSSIM statistical test to a survey unit with a specific residual radioactivity distribution based on Monte Carlo simulation

  • Chun, Ga Hyun;Cheong, Jae Hak
    • Nuclear Engineering and Technology
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    • 제54권5호
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    • pp.1606-1615
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    • 2022
  • For investigating whether the MARSSIM nonparametric test has sufficient statistical power when a site has a specific contamination distribution before conducting a final status survey (FSS), a novel approach was proposed to predict the release probability of the site. Five distributions were assumed: lognormal distribution, normal distribution, maximum extreme value distribution, minimum extreme value distribution, and uniform distribution. Hypothetical radioactivity populations were generated for each distribution, and Sign tests were performed to predict the release probabilities after extracting samples using Monte Carlo simulations. The designed Type I error (0.01, 0.05, and 0.1) was always satisfied for all distributions, while the designed Type II error (0.01, 0.05, and 0.1) was not always met for the uniform, maximum extreme value, and lognormal distributions. Through detailed analyses for lognormal and normal distributions which are often found for contaminants in actual environmental or soil samples, it was found that a greater statistical power was obtained from survey units with normal distribution than with lognormal distribution. This study is expected to contribute to achieving the designed decision error when the contamination distribution of a survey unit is identified, by predicting whether the survey unit passes the statistical test before undertaking the FSS according to MARSSIM.

A Bayesian Approach for Accelerated Failure Time Model with Skewed Normal Error

  • Kim, Chansoo
    • Communications for Statistical Applications and Methods
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    • 제10권2호
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    • pp.268-275
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    • 2003
  • We consider the Bayesian accelerated failure time model. The error distribution is assigned a skewed normal distribution which is including normal distribution. For noninformative priors of regression coefficients, we show the propriety of posterior distribution. A Markov Chain Monte Carlo algorithm(i.e., Gibbs Sampler) is used to obtain a predictive distribution for a future observation and Bayes estimates of regression coefficients.