• Title/Summary/Keyword: normal distribution

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A D-H type Public Key Distribution System using a Normal Basis in GF($2^m$) (GF($2^m$/)의 정규기저를 사용한 D-H 형 공용키이분배 시스템)

  • 이창순;문상재
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 1991.11a
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    • pp.49-57
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    • 1991
  • Several variants of the Diffie-Hellman public key distribution are examined, and a simple and relatively secure public key distribution protocol is introduced. Using a normal basis of GF(2$^{m}$ ), this protocol is implemented, and simulated in software. A program is developed, whereby a normal basis is effectively searched for fast multiplication in GF(2$^{m}$ ).

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An approach to improving the Lindley estimator

  • Park, Tae-Ryoung;Baek, Hoh-Yoo
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.6
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    • pp.1251-1256
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    • 2011
  • Consider a p-variate ($p{\geq}4$) normal distribution with mean ${\theta}$ and identity covariance matrix. Using a simple property of noncentral chi square distribution, the generalized Bayes estimators dominating the Lindley estimator under quadratic loss are given based on the methods of Brown, Brewster and Zidek for estimating a normal variance. This result can be extended the cases where covariance matrix is completely unknown or ${\Sigma}={\sigma}^2I$ for an unknown scalar ${\sigma}^2$.

The Comparison of Plantar Foot Pressure in Normal Side of Normal People, Affected Side and Less Affected Side of Hemiplegic Patients During Stance Phase (보행 중 입각기 시 정상 성인과 편마비 환자의 환측과 건측의 족저압 분포 비교)

  • Yoon, Hyang-Woon;Lee, Sang-Yeol;Lee, Hyun-Min
    • Journal of the Korean Society of Physical Medicine
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    • v.4 no.2
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    • pp.87-92
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    • 2009
  • Objects:The purpose of this study is to investigate the values of foot pressure of the stance phase during a gait cycle in hemiplegic gait. Method:42 patients who had a stroke and 42 healthy adults were evaluated by the RSscan system to analyze the stance phase of hemiplegic gait. The stance phase was evaluated as plantar foor pressure. Results:1) Foot plantar pressure of toe area, affected side and less affected side showed low distribution of the plantar foot pressure which is lower than plantar foot pressure of normal adults(p<0.05). 2) Foot plantar pressure of metatarsal area, showed significantly differences among hemiplesic patient's affected side and less affected side and distribution of plantar foot pressure of normal adults(p<0.05). 3) Foot plantar pressure of heel area, hemiplesic patients' affected side and less affected side showed lower distribution of the plantar foot pressure than plantar foot pressure of normal adults(p<0.05). Conclusion:The results of this study suggest that not only affected side but also less affected side in hemiplegic patients showed significantly differences in distribution of the plantar foot pressure of normal adults.

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On the Radial Basis Function Networks with the Basis Function of q-Normal Distribution

  • Eccyuya, Kotaro;Tanaka, Masaru
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.26-29
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    • 2002
  • Radial Basis Function (RBF) networks is known as efficient method in classification problems and function approximation. The basis function of RBF networks is usual adopted normal distribution like the Gaussian function. The output of the Gaussian function has the maximum at the center and decrease as increase the distance from the center. For learning of neural network, the method treating the limited area of input space is sometimes more useful than the method treating the whole of input space. The q-normal distribution is the set of probability density function include the Gaussian function. In this paper, we introduce the RBF networks with the basis function of q-normal distribution and actually approximate a function using the RBF networks.

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Comparison of parameter estimation methods for normal inverse Gaussian distribution

  • Yoon, Jeongyoen;Kim, Jiyeon;Song, Seongjoo
    • Communications for Statistical Applications and Methods
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    • v.27 no.1
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    • pp.97-108
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    • 2020
  • This paper compares several methods for estimating parameters of normal inverse Gaussian distribution. Ordinary maximum likelihood estimation and the method of moment estimation often do not work properly due to restrictions on parameters. We examine the performance of adjusted estimation methods along with the ordinary maximum likelihood estimation and the method of moment estimation by simulation and real data application. We also see the effect of the initial value in estimation methods. The simulation results show that the ordinary maximum likelihood estimator is significantly affected by the initial value; in addition, the adjusted estimators have smaller root mean square error than ordinary estimators as well as less impact on the initial value. With real datasets, we obtain similar results to what we see in simulation studies. Based on the results of simulation and real data application, we suggest using adjusted maximum likelihood estimates with adjusted method of moment estimates as initial values to estimate the parameters of normal inverse Gaussian distribution.

A Study of Probability Functions of Best Fit to Distribution of Annual Runoff -on the Nakdong River Basin- (년유출량의 적정확률 분포형에 관한 연구 -낙동강 유역을 중심으로-)

  • 조규상;이순탁
    • Water for future
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    • v.7 no.2
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    • pp.107-111
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    • 1974
  • Annual runoff in the Nakdong river basin has been analyzed to find the probability functions of best fit to distribution of historical annual runoff. The results obtained are as follows; (1) Log-normal 3-parameter disrtibution is believed as the probability function of best fit to historical distribution (2) Log-normal 3-parameter disrtibution is believed as the best fit probability function among Log-normal dist-ributions. (3) In the test of goodness of fit, $x^2-test$ shows that probability of $x^2-valus$ in Log-normal 3-parameter distribution is nearly more than 90%. But in the Simirnov-Kolmogorov test, hypotheses for the probability distributions cannot be rejected at significance level 5% & 1%. (4) Among 7 gauging stations, Dongchon & Koryung-Bridge's records show lower fitness to the theoretical probability functions than other 5 gauging station's

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The Calculation of Cell Radius for CDMA PCS System on the presumption of Log-normal Distribution with The Hata Path Loss Model (Hata Path Loss Model에서 Log-normal Distribution을 가정한 CDMA PCS 시스템의 Cell반경 산출)

  • 이명국;이호경
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.9A
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    • pp.1306-1313
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    • 1999
  • In this paper, we propose the signal strength path loss model (modified Hata path loss Model) and the signal strength distribution model (log-normal distribution) for the cell design of the land mobile communication system. We applied the measured experimental data at Soosungdon and Sanjuckdong in Daeku, to this model and calculate the fraction of total area above threshold.

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Measurement Error Model with Skewed Normal Distribution (왜도정규분포 기반의 측정오차모형)

  • Heo, Tae-Young;Choi, Jungsoon;Park, Man Sik
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.953-958
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    • 2013
  • This study suggests a measurement error model based on skewed normal distribution instead of normal distribution to identify slope parameter properties in a simple liner regression model. We prove that the slope parameter in a simple linear regression model is underestimated.

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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    • v.33 no.6
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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.

Study on Water Distribution and Muscle Circumference of Arm, Leg and Trunk of Between Obese Patient and Normality (비만환자와 정상인의 상.하지 수분분포 및 근육둘레 비교연구)

  • Cha, Yun-Yeop
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.19 no.1
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    • pp.289-293
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    • 2005
  • The aim of this study was to investigate the importance of behavior habit and body exercise. We divided 164 volunteers into 2 groups. 82 volunteers was obese group($BMI{\geqq}25$), and the others was normal group(BMI<25). And we investigated the difference of water distribution and muscle circumference of arm, leg and trunk of between obese patient and normality. The results are as follows; Normal group was significantly higher than obese group in leg water distribution and muscle circumference rate as compared with arm(P<0.001). Normal group was significantly higher than obese group in leg water distribution and muscle circumference rate as compared with trunk(P<0.001). Each of the relation of water distribution and muscle circumference was significantly correlated with Pearson correlation analysis(r = 0.96, r = 0.6). In conclusion, there is very important that Low limb exercise and behavior habit in obese.