• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.17 no.6
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• pp.59-68
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• 2017

Random process plays a major role in wireless communication system to analytically derive the probability distribution function of the various statistical distribution. In this paper, we derive the decreasing function of the exponential distribution under the given condition which is expressed as wireless channel condition. The probability distribution function of Gaussian, Laplacian, Rayleigh and Nakagami distribution are also derived. Extensive simulation results of these statistical distributions are provided to prove that random process has a significant role in the wireless communications. In addition, the Rayleigh and Rician channels show specific examples of visible distance communication and invisible distance channel environment. This paper is motivated by that we assume a block fading channel model, where the channel is constant during a transmission block and changes independently between consecutive transmission block, can achieve a better performance in high SNR regime with i.i.d channel. This algorithm for realizing these transforms can be applied to the Kronecker MIMO channel.

• Geotechnical Engineering
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• v.5 no.1
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• pp.27-34
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• 1989

This study presents a probabilistic analysis of the stability of homogeneous soil slopes during earthquakes. The stability of the slope is measured through its probability of failure rather than the customary factor of safety. The maximum horizontal ground acceleration is deterimined with Donovan and McGuire equation. The earthquake magnitude (m) is a random variable the Probability density function f(m) has been obtained with a use of Richter law. The potential failure surfaces are taken to be of an exponential shape (log-spiral) , Uncertainties of the shear strength parameters along potential failure surface are expressed by one-dimensional random field model. From a first order analysis the mean and variance of safety margin is osculated. The dependence on significant seismic parameters of the probability of failure of the slope is examined and the results are presented in a number of graphs and tables. On the base of the results obtained in this study, it is concluled that (1) the present model is useful in assessing the reliability of soil slopes under both static and seismic conditions: and (2) the probability of failure of a soil slope is greatly affected by the values of the seismic parameters that are associated with it.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.620-620
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• 2012

에너지 다소비원인 공공하수처리시설은 기후협약에 따른 온실가스 저감시설로서의 그 역할이 증대되고 있다. 환경부는 '하수처리시설 에너지 자립화 계획'을 통해 2015년까지 에너지 자립율 18%를 목표로 하고 있으며, 이를 위해서는 신재생에너지를 이용한 능동적 에너지 생산이 필요하다. 소수력발전은 공급 안정성이 우수하고 소수력발전은 일정한 처리수가 방류되는 하수처리장에 적용되었을 때 그 가동율은 하천에서의 소수력발전에 비하여 우수하다고 알려져 있으며, 향후 하수처리장에 널리 보급될 수 있는 청정에너지원이라고 할 수 있다. 본 연구에서는 기흥 레스피아에서 처리되는 하수를 이용한 소수력발전이 검토되었다. 최근 5년간 방류량 자료를 살펴보면 기흥 레스피아의 일평균 실제 처리량은 약 $30,000m^3/day$로 나타났으며, 우수 유입과 물 사용량이 증가하는 여름 및 가을에 처리량이 증가하였다. 설계유량은 유량변화에 따른 누적 확률밀도와 유량지속곡선에 근거해 산정하였으며, 시간빈도(T)로 보았을 때 26%의 유량이 지속되는 $0.35m^3/s$를 설계유량으로 선정하였다(그림 1). 또한 이를 기반으로 성능특성을 분석한 결과, 단위낙차당 수차발전기의 용량은 2.4kW이며, 시스템 가동율은 74%, 그리고 연 전력생산량은 16.6MWh로 나타났다(그림 2).

• Journal of Elementary Mathematics Education in Korea
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• v.12 no.1
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• pp.79-100
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• 2008

Freudenthal has advocated the reinvention method. In that method, the pupils start with a meaningful context, not ready-made concepts, and invent informative method through which he could arrive at the formative concepts progressively. In many face the reinvention method is contrary to the traditional method. In traditional method, which was named as 'concretization method' by Freudenthal, the pupils start with ready-made concepts, and applicate this concepts to various instances through which he could arrive at the understanding progressively. Through analysis, it turns out that Korea's seventh elementary mathematics textbook is based on concretization method. In this thesis, first of all, I will reconstruct probability unit of seventh elementary textbook according to Freudenthal's reinvention method. Next, I will perform teaching experiment which is ruled by new lesson design. Lastly, I analysed the effects of teaching experiment. Through this study, I obtained the following results and suggestions. First, the reinvention method is effective on the teaching of probability concept and algorithm. Second, in comparison with current textbook strand, my strand which made probability concept go ahead and combinatorics concept let behind is not deficiency. Third, tree diagram is effective matrix which contribute to formalization of combinatorics calculation. Lastly, except for fraction, diverse representation of probability, for example percentage or informal ratio expression must be introduced in teaching process.

• The Korean Journal of Applied Statistics
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• v.12 no.1
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• pp.225-239
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• 1999

범주형 자료에 대하여 탐색적 자료분석을 할 수 있는 기존의 여러 그림들을 변수의 수가 많아지면 시각적인 식별이 어렵다는 단점이 있다. 본 논문에서는 삼차원이상의 다차원 범주형 자료를 이차원 평면성에 표현할 수 있는 링차트(ring chart)를 제안한다. 각 칸의 확률값을 표현하는 링차트는 범주형 자료의 구조 전체를 시각적으로 파악할 수 있으며, 관측값을 표준화한 링차트는 변수들간의 연관성 여부를 시각적으로 판단하는데 유용한 정보를 제공한다. 삼차원이상의 자료에서는 이중 링차트(조건부 링차트)를 개발하여 일차 및 이차교호작용 검정까지도 가능하다. 또한, 관측값과 잔차를 동시에 표현한 잔차 링차트는 설정된 모형의 적합성 여부를 시각적으로 평가할 수 있는 장점이 있다.

• The Journal of Engineering Geology
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• v.3 no.1
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• pp.39-49
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• 1993

Intrinsic random function of order k(IRF-k) was used to estimate groundwater levels of nonstationaav random functions. The accuracy of IRF-k was compared to that of ordraarv krigrng assuming that the data of groundwater levels compose a stafionarv random function. Cross validation and statistical errors show that IRF-k is superior to orcinarv '(riging for the estimation of water levels. IRF-k and ordinary kriging made different contour and 3-D surface maps. The maps of IRF-k are more accurate than those of ordinary kriging.

• Journal of the korean Society of Automotive Engineers
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• v.6 no.1
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• pp.27-35
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• 1984

측정치의 데이터를 그림으로 나타내면 "종을 거꾸로 엎어놓은 모양(Bell Shaped Curve)"의 정 규분포를 이루는 것은 잘 알려진 사실이다. 그러나 수명시험데이터의 경우는 분포의 형이 찌 그러지게 된다. 수명분포는 Weibull분포에 따르므로 Weibull분포에 의한 해석을 하여야 하는 것이 원칙이나 대수정규분포로 근사시켜서 해석을 하여도 실용상 큰 지장은 없다. 수명시험의 경우는 파괴시험이며 장시간의 시험을 요하므로 적은 시료를 시험하는 것이 일반적이다. 특히 자동차공업에 있어서 수명시험은 중요한 품질특성의 하나이며 자동차의 조립에 쓰이는 수만개 부품의 수명을 예측하는 것은 매우 중요한 일이다. 따라서 이 적은 시료에서 얻어낸 데이터를 이용하여 "어떻게 수명의 예측을 올바르게 할 것인가\ulcorner" 하는 문제, 즉 신뢰성의 추정(Reliability Inference)과 로트의 판정이 중요한 문제인 것이다. 이러한 문제의 한 가지 방법으로서 외국에서 이미 널리 활용되고 있는 대수정규확율지를 이용한 수명데이터의 해석 방법을 소개하고자 한다.이터의 해석 방법을 소개하고자 한다.

• Journal of Korean Society of Forest Science
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• v.102 no.4
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• pp.477-483
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• 2013

The purpose of this study was to calculate uncertainty of emission factor collected data and to evaluate the applicability of Monte Carlo simulation technique. To estimate the distribution of emission factors (Such as Basic wood density, Biomass expansion factor, and Root-to-shoot ratio), four probability density functions (Normal, Lognormal, Gamma, and Weibull) were used. The two sample Kolmogorov-Smirnov test and cumulative density figure were used to compare the optimal probability density function. It was observed that the basic wood density showed the gamma distribution, the biomass expansion factor results the log-normal distribution, and root-shoot ratio showd the normal distribution for Pinus densiflora in the Gangwon region; the basic wood density was the normal distribution, the biomass expansion factor was the gamma distribution, and root-shoot ratio was the gamma distribution for Pinus densiflora in the central region, respectively. The uncertainty assessment of emission factor were upper 62.1%, lower -52.6% for Pinus densiflora in the Gangwon region and upper 43.9%, lower -34.5% for Pinus densiflora in the central region, respectively.

• Journal of the Korean Data and Information Science Society
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• v.25 no.3
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• pp.473-483
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• 2014

Even though the ROC manifold for more than three dimensional space which is an extension of the ROC curve and surface has difficulty to represent graphically, the hypervolume under the ROC manifold (HUM) statistic can be defined and obtained based on AUC and VUS measures for the ROC curve and the ROC surface. Hence the definition and characteristics of the HUM for four dimensional space are studied in this work. By extension of the standard criterion of AUC for probabilities of default based on Basel II, the 13 classes of standard criterion of HUM are proposed in order to discriminate four classification models and some application methods are discussed. In order to explore the standard criterion of HUM whose values are obtained from various distributions, ternary plot is used and explained.

• The KIPS Transactions:PartB
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• v.9B no.3
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• pp.271-276
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• 2002

The test statistic in ANOVA tests has a single or doubly noncentral F distribution and the noncentral F distribution is applied to the calculation of the power functions of tests of general linear hypotheses. Although various approximations of noncentral F distribution are suggested, they are troublesome to compute. In this paper, the calculation of noncentral F distribution is applied to the neural network theory, to solve the computation problem. The neural network consists of the multi-layer perceptron structure and learning process has the algorithm of the backpropagation. Using fables and figs, comparisons are made between the results obtained by neural network theory and the Patnaik's values. Regarding of accuracy and calculation, the results by neural network are efficient than the Patnaik's values.