• 제목/요약/키워드: probability density characteristic

검색결과 48건 처리시간 0.025초

CHARACTERIZATIONS OF THE GAMMA DISTRIBUTION BY INDEPENDENCE PROPERTY OF RANDOM VARIABLES

  • Jin, Hyun-Woo;Lee, Min-Young
    • 충청수학회지
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    • 제27권2호
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    • pp.157-163
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    • 2014
  • Let {$X_i$, $1{\leq}i{\leq}n$} be a sequence of i.i.d. sequence of positive random variables with common absolutely continuous cumulative distribution function F(x) and probability density function f(x) and $E(X^2)$ < ${\infty}$. The random variables X + Y and $\frac{(X-Y)^2}{(X+Y)^2}$ are independent if and only if X and Y have gamma distributions. In addition, the random variables $S_n$ and $\frac{\sum_{i=1}^{m}(X_i)^2}{(S_n)^2}$ with $S_n=\sum_{i=1}^{n}X_i$ are independent for $1{\leq}m$ < n if and only if $X_i$ has gamma distribution for $i=1,{\cdots},n$.

FEASIBILITY MAPPING OF GROUND WATER YIELD CHARACTERISTICS USING WEIGHT OF EVIDENCE TECHNIQUE: A CASE STUDY

  • Heo, Seon-Hee;Lee, Ki-Won
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2005년도 Proceedings of ISRS 2005
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    • pp.430-433
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    • 2005
  • In this study, weight of evidence(WOE) technique based on the bayesian method was applied to estimate the groundwater yield characteristics in the Pocheon area in Kyungki-do. The ground water preservation depends on many hydrogeologic factors that include hydrologic data, landuse data, topographic data, geological map and other natural materials, even with man-made things. All these data can be digitally collected and managed by GIS database. In the applied technique of WOE, The prior probabilities were estimated as the factors that affect the yield on lineament, geology, drainage pattern or river system density, landuse and soil. We calculated the value of the Weight W+, W- of each factor and estimated the contrast value of it. Results by the ground water yield characteristic calculations were presented in the form of posterior probability map to the consideration of in-situ samples. It is concluded that this technique is regarded as one of the effective technique for the feasibility mapping related to detection of groundwater bearing zones and its spatial pattern.

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Simple Detection Based on Soft-Limiting for Binary Transmission in a Mixture of Generalized Normal-Laplace Distributed Noise and Gaussian Noise

  • Kim, Sang-Choon
    • ETRI Journal
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    • 제33권6호
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    • pp.949-952
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    • 2011
  • In this letter, a simplified suboptimum receiver based on soft-limiting for the detection of binary antipodal signals in non-Gaussian noise modeled as a generalized normal-Laplace (GNL) distribution combined with Gaussian noise is presented. The suboptimum receiver has low computational complexity. Furthermore, when the number of diversity branches is small, its performance is very close to that of the Neyman-Pearson optimum receiver based on the probability density function obtained by the Fourier inversion of the characteristic function of the GNL-plus-Gaussian distribution.

Micro CT 이미지 분석을 통한 경량 골재 콘크리트의 공극 분포 분석 (Evaluation of Void Distribution on Lightweight Aggregate Concrete Using Micro CT Image Processing)

  • 정상엽;김영진;윤태섭;전현규
    • 대한토목학회논문집
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    • 제31권2A호
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    • pp.121-127
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    • 2011
  • 콘크리트 내부에 존재하는 공극(void)의 공간적 분포는 콘크리트의 역학적, 물리적 거동에 큰 영향을 미친다. 따라서 콘크리트 재료 물성의 파악과 건정성 평가를 위해 내부에 존재하는 공극의 분포 상태를 파악하는 것은 매우 중요하다. 콘크리트에는 육안으로 보이는 재료 표면의 공극 이외에도 내부 공극이 존재한다. 본 연구에서는 경량골재 콘크리트의 공극 분포를 파악하기 위하여 micro CT(X-ray microtomography)를 활용하여 생성된 3차원 콘크리트 디지털 시편을 사용하였다. 흑백처리된 단면 이미지를 중첩하여 공극을 묘사할 수 있는 3차원 시편을 생성하였다. 공극의 분포 상태를 확률적으로 묘사하기 위하여 확률 분포 함수 two-point correlation function과 lineal-path function으로 분석하였다. 또한, 이미지 분석을 통해서 콘크리트 시편의 공극의 밀도 분포를 파악하였다. 콘크리트 내부에 있는 개별 경량 골재의 공극도 이미지 처리와 확률 분포함수를 사용하여 분석하였다. Micro CT와 3차원 이미지 분석 방법을 통하여 콘크리트 내부에 존재하는 공극의 분포 상태를 효과적으로 파악할 수 있음을 확인하였다.

화자인식에서 연속밀도 은닉마코프모델의 혼합밀도 결정방법 (Gaussian Density Selection Method of CDHMM in Speaker Recognition)

  • 서창우;이주헌;임재열;이기용
    • 한국음향학회지
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    • 제22권8호
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    • pp.711-716
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    • 2003
  • 본 논문은 연속밀도 은닉마코프모델에서 각 상태별 혼합성분 개수를 결정하는 방법을 제안한다. 지금까지의 대부분의 연구가 연속밀도 은닉마코프모델에서 화자의 스펙트럼 특성에 상관없이 각 상태별 동일한 혼합성분 개수를 적용하였다. 이런 접근방법은 많은 계산량을 요구할 뿐만 아니라, 각 상태의 특성을 무시하고 있기 때문에 각 상태별 음성신호의 정확한 모델링을 할 수 없다. 따라서 본 논문에서 제안한 연속밀도 은닉마코프모델의 파라미터 추정은 각 상태별 혼합성분에 대한 발생 확률값에 따라서 결정하였다. 또한 혼합성분의 개수를 줄이는 과정에서 신호의 상관성을 줄이고 시스템의 전체적인 안정성을 얻기 위해서 주성분 분석을 이용하였다. 제안한 방법은 기존의 은닉마코프모델에 비해서 평균 10% 작은 혼합성분 개수를 이용했을 때를 기준으로 실험하였다. 실험결과에서 혼합성분 결정만을 적용했을 때 거의 비슷한 성능을 얻을 수 있었다. 그리고 주성분 분석을 이용했을 때, 특정벡터가 16 차일 때 평균 0.35%의 성능감소가 일어났지만, 25 차에서는 평균 0.65%의 성능개선을 얻을 수 있었다.

로지스틱 회귀분석모델을 활용한 평창군 진부 지역의 산사태 재해의 인명 위험 평가 (Life Risk Assessment of Landslide Disaster in Jinbu Area Using Logistic Regression Model)

  • 라하누마 빈테 라시드 우르미;알-마문;장동호
    • 한국지형학회지
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    • 제27권2호
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    • pp.65-80
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    • 2020
  • This paper deals with risk assessment of life in a landslide-prone area by a GIS-based modeling method. Landslide susceptibility maps can provide a probability of landslide prone areas to mitigate or proper control this problems and to take any development plan and disaster management. A landslide inventory map of the study area was prepared based on past historical information and aerial photography analysis. A total of 550 landslides have been counted at the whole study area. The extracted landslides were randomly selected and divided into two different groups, 50% of the landslides were used for model calibration and the other were used for validation purpose. Eleven causative factors (continuous and thematic) such as slope, aspect, curvature, topographic wetness index, elevation, forest type, forest crown density, geology, land-use, soil drainage, and soil texture were used in hazard analysis. The correlation between landslides and these factors, pixels were divided into several classes and frequency ratio was also extracted. Eventually, a landslide susceptibility map was constructed using a logistic regression model based on entire events. Moreover, the landslide susceptibility map was plotted with a receiver operating characteristic (ROC) curve and calculated the area under the curve (AUC) and tried to extract a success rate curve. Based on the results, logistic regression produced an 85.18% accuracy, so we believed that the model was reliable and acceptable for the landslide susceptibility analysis on the study area. In addition, for risk assessment, vulnerability scale were added for social thematic data layer. The study area predictive landslide affected pixels 2,000 and 5,000 were also calculated for making a probability table. In final calculation, the 2,000 predictive landslide affected pixels were assumed to run. The total population causalities were estimated as 7.75 person that was relatively close to the actual number published in Korean Annual Disaster Report, 2006.

Characterization of the wind-induced response of a 356 m high guyed mast based on field measurements

  • Zhe Wang;Muguang Liu;Lei Qiao;Hongyan Luo;Chunsheng Zhang;Zhuangning Xie
    • Wind and Structures
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    • 제38권3호
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    • pp.215-229
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    • 2024
  • Guyed mast structures exhibit characteristics such as high flexibility, low mass, small damping ratio, and large aspect ratio, leading to a complex wind-induced vibration response mechanism. This study analyzed the time- and frequency-domain characteristics of the wind-induced response of a guyed mast structure using measured acceleration response data obtained from the Shenzhen Meteorological Gradient Tower (SZMGT). Firstly, 734 sets of 1-hour acceleration samples measured from 0:00 October 1, 2021, to 0:00 November 1, 2021, were selected to study the vibration shapes of the mast and the characteristics of the generalized extreme value (GEV) distribution. Secondly, six sets of typical samples with different vibration intensities were further selected to explore the Gaussian property and modal parameter characteristics of the mast. Finally, the modal parameters of the SZMGT are identified and the identification results are verified by finite element analysis. The findings revealed that the guyed mast vibration shape exhibits remarkable diversity, which increases nonlinearly along the height in most cases and reaches a maximum at the top of the tower. Moreover, the GEV distribution characteristics of the 734 sets of samples are closer to the Weibull distribution. The probability distribution of the structural wind vibration response under strong wind is in good agreement with the Gaussian distribution. The structural response of the mast under wind loading exhibits multiple modes. As the structural response escalates, the first three orders of modal energy in the tower display a gradual increase in proportion.

가설-검증 문제를 이용한 혼합 프라이어를 가지는 베이지안 영상 잡음 제거 (Bayesian Image Denoising with Mixed Prior Using Hypothesis-Testing Problem)

  • 엄일규;김유신
    • 대한전자공학회논문지SP
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    • 제43권3호
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    • pp.34-42
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    • 2006
  • 일반적으로 웨이블릿 계수는 적은 수의 계수에 거의 대부분의 정보가 저장되어 있다. 이러한 웨이블릿 계수의 성긴 특성은 가우스 확률밀도 함수와 영점에서의 점 질량(point mass) 함수의 혼합으로 모델링될 수 있으며, 이 프라이어(prior) 모델에 대한 베이지안 추정법으로 잡음 제거를 수행한다. 본 논문에서는 가설-검증 기법을 이용하여 잡음 제거를 위한 파라미터를 추정하는 방법을 제안한다. 가설-검증은 관찰된 웨이블릿 계수의 분산에 적용되며, $X^2$-검증을 사용한다. 모의실험 결과를 통하여 본 논문의 방법이 직교 웨이블릿 변환을 사용한 최신의 잡음 제거 방법보다 대략 0.3dB 정도 우수한 PSNR(peak signal-to-noise ratio) 성능을 나타낸다.

BLUE-Based Channel Estimation Technique for Amplify and Forward Wireless Relay Networks

  • PremKumar, M.;SenthilKumaran, V.N.;Thiruvengadam, S.J.
    • ETRI Journal
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    • 제34권4호
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    • pp.511-517
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    • 2012
  • The best linear unbiased estimator (BLUE) is most suitable for practical application and can be determined with knowledge of only the first and second moments of the probability density function. Although the BLUE is an existing algorithm, it is still largely unexplored and has not yet been applied to channel estimation in amplify and forward (AF)-based wireless relay networks (WRNs). In this paper, a BLUE-based algorithm is proposed to estimate the overall channel impulse response between the source and destination of AF strategy-based WRNs. Theoretical mean square error (MSE) performance for the BLUE is derived to show the accuracy of the proposed channel estimation algorithm. In addition, the Cram$\acute{e}$r-Rao lower bound (CRLB) is derived to validate the MSE performance. The proposed BLUE channel estimation algorithm approaches the CRLB as the length of the training sequence and number of relays increases. Further, the BLUE performs better than the linear minimum MSE estimator due to the minimum variance characteristic exhibited by the BLUE, which happens to be a function of signal-to-noise ratio.

Space Charge Behavior of Oil-Impregnated Paper Insulation Aging at AC-DC Combined Voltages

  • Li, Jian;Wang, Yan;Bao, Lianwei
    • Journal of Electrical Engineering and Technology
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    • 제9권2호
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    • pp.635-642
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    • 2014
  • The space charge behaviors of oil-paper insulation affect the stability and security of oil-filled converter transformers of traditional and new energies. This paper presents the results of the electrical aging of oil-impregnated paper under AC-DC combined voltages by the pulsed electro-acoustic technique. Data mining and feature extractions were performed on the influence of electrical aging on charge dynamics based on the experiment results in the first stage. Characteristic parameters such as total charge injection and apparent charge mobility were calculated. The influences of electrical aging on the trap energy distribution of an oil-paper insulation system were analyzed and discussed. Longer electrical aging time would increase the depth and energy density of charge trap, which decelerates the apparent charge mobility and increases the probability of hot electron formation. This mechanism would accelerate damage to the cellulose and the formation of discharge channels, enhance the acceleration of the electric field distortion, and shorten insulation lifetime under AC-DC combined voltages.