• Title/Summary/Keyword: Standard normal Distribution

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A Study of the Serum Total Cholesterol Levels of the Healthy Insured Group (일부(一部) 생명보험(生命保險) 가입자(加入者)의 혈청총(血淸總)콜레스테롤치(値)에 관(關)한 연구(硏究))

  • Jo, Seung-Ho
    • The Journal of the Korean life insurance medical association
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    • v.1 no.1
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    • pp.110-118
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    • 1984
  • The serum total cholesterol levels were measured by Rosenthal modified method for the insured persons who had passed the medical examination in a life insurance company, Seoul. The sera were obtained from 1,878 adults, 626 males and 1,252 fermales, from sep 1980 to Dec. 1981. The results obtained in the measurement were as follows; 1. The mean and standard deviation of serum cholesterol level in the healthy insured persons were $163{\pm}$ in male, and $157{\pm}24mg%$ in female. The difference of the values between male and female showed statistical signifi- (p<0.01). With regard to sex and age differences, female were significantly higher than male in the 10's, and male were higher than female in the 20's and 50's between both sexes. 2. The cholesteol of male was gradully increased about 12mg% according to the increase of every 10-year interval, but no increase was observed from the 40's to the 50's. The cholesterol level of female was higher in the 10's than in the 20's, and was increased gradually from the 20's to the 50's. 3. No significant difference in serum total cholesterol levels between the insured persons and other normal Korean groups was observed; the frequency distribution of the cholestrol level for the population showed normal distribution.

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A study on the stochastic generation of annual runoff (연유출량의 추계학적 모의발생에 관한 연구)

  • 이순혁;박명근;맹승진
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.2
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    • pp.31-40
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    • 1995
  • This study was conducted to get best fitting frequency distribution for the annual run- off and to simulate long series of annual flows by single-season first order Markov Model with comparison of statistical parameters which were derived from observed and synthetic flows at four watersheds in Seom Jin and Yeong San river systems. The results summarized through this study are as follows. 1. Hydrologic persistence of observed flows was acknowledged by the correlogram analysis. 2. A normal distribution of the annual runoff for the applied watersheds was confirmed as the best one among others by Kolmogorov-Smirnov test. 3. Statistical parameters were calculated from synthetic flows simulated by normal dis- tribution. In was confirmed that mean and standard deviation of simulated flows are much closer to those of observed data than except coefficient of skewness. 4. Hydrologic persistence between observed flows and synthetic flows simulated was also confirmed by the correlogram analysis. 5. It is to be desired that generation technique of synthetic flow in this study would be compared with other simulation techniques for the objective time series.

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A Study on 7th Probability and Statistics Education In Mathematics 1 Textbooks in Korea (수학 I 검정교과서 확률통계 영역에 대한 연구)

  • Lee Sang Bock;Sohn Joong-Kweon;Chung Sung Suck
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.197-210
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    • 2005
  • In Korea, mathematics education has been taken according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare mathematics 1 textbooks for 11-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in accordance with textbooks and central limit theorem of sample mean under normal population.

A Study on the Quantitative Rehabilitation Extent Evaluation Method Using High-Order Function Waveform Analysis of EMG Signal (근전도 신호의 고차함수분석법을 이용한 정량적 재활정도 평가에 관한 연구)

  • Moon, D.J.;Kim, J.Y.;Noh, S.C.;Choi, H.H.
    • Journal of rehabilitation welfare engineering & assistive technology
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    • v.8 no.4
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    • pp.305-312
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    • 2014
  • In this study, in order to quantitatively confirm walking rehabilitation degree, we analyzed EMG pattern simulated abnormal gait and normal gait by applying a curve fitting. We calculated the suitable high-order function for EMG signal, and classified them into 5 groups by using cluster analysis. Depending on the distance from normal pattern group, we listed the pattern group and then the distribution of each variables were confirmed. The amplitude-decreased pattern was the most similar to the normal pattern, but the reversed pattern showed the lowest similarity. Due to the smaller overlapping range, the distribution of the groups were possible to classify using the value of variable. The standard deviation of each term coefficient was compared to indicate the quantitative rehabilitation extent, and the higher value was confirmed as the pattern is close to the normal pattern. Consequently, the representation of quantitative rehabilitation extent is expected to contribute to the more effective rehabilitation method study.

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Distance between the Distributions of the P-value and the Lower Bound of the Posterior Probability

  • Oh, Hyun-Sook
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.237-249
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    • 1999
  • It has been issued that the irreconcilability of the classical test for a point null and standard Bayesian formulation for testing such a point null. The infimum of the posterior probability of the null hypothesis is used as measure of evidence against the null hypothesis in Bayesian approach; here the infimum is over the family of priors on the alternative hypotheses which includes all density that are a priori reasonable. For iid observations from a multivariate normal distribution in $\textit{p}$ dimensions with an unknown mean and a covariance matrix propotional to the Identity we consider the difference and the Wolfowitz distance of the distributions of the P-value and the lower bound of the posterior probability over the family of all normal priors. The Wolfowitz distance is interpreted as the average difference of the quantiles of the two distrbutions.

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Design of Combined Shewhart-CUSUM Control Chart using Bootstrap Method (Bootstrap 방법을 이용한 결합 Shewhart-CUSUM 관리도의 설계)

  • 송서일;조영찬;박현규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.4
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    • pp.1-7
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    • 2002
  • Statistical process control is used widely as an effective tool to solve the quality problems in practice fields. All the control charts used in statistical process control are parametric methods, suppose that the process distributes normal and observations are independent. But these assumptions, practically, are often violated if the test of normality of the observations is rejected and/or the serial correlation is existed within observed data. Thus, in this study, to screening process, the Combined Shewhart - CUSUM quality control chart is described and evaluated that used bootstrap method. In this scheme the CUSUM chart will quickly detect small shifts form the goal while the addition of Shewhart limits increases the speed of detecting large shifts. Therefor, the CSC control chart is detected both small and large shifts in process, and the simulation results for its performance are exhibited. The bootstrap CSC control chart proposed in this paper is superior to the standard method for both normal and skewed distribution, and brings in terms of ARL to the same result.

On Practical Efficiency of Locally Parametric Nonparametric Density Estimation Based on Local Likelihood Function

  • Kang, Kee-Hoon;Han, Jung-Hoon
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.607-617
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    • 2003
  • This paper offers a practical comparison of efficiency between local likelihood approach and conventional kernel approach in density estimation. The local likelihood estimation procedure maximizes a kernel smoothed log-likelihood function with respect to a polynomial approximation of the log likelihood function. We use two types of data driven bandwidths for each method and compare the mean integrated squares for several densities. Numerical results reveal that local log-linear approach with simple plug-in bandwidth shows better performance comparing to the standard kernel approach in heavy tailed distribution. For normal mixture density cases, standard kernel estimator with the bandwidth in Sheather and Jones(1991) dominates the others in moderately large sample size.

Evaluation of Whole Effluent Toxicity (WET) Proficiency Testing for Water Quality Measurement Agencies in Korea (국내 수질측정대행업에 대한 생태독성 숙련도시험 평가)

  • Park, Woo Sang;Kim, Sang Hun
    • Journal of Korean Society on Water Environment
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    • v.29 no.4
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    • pp.568-573
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    • 2013
  • In this study, we conducted whole effluent toxicity (WET) proficiency testing based on the results which $EC_{50}$ value of 3 types (A, B, C) unknown samples calculated from 32 water quality measurement agencies in Korea. WET proficiency testing was expected to their improve of analysis skill and ensure reliability of analysis results. Ultimately, it is intended to promote the reliable enforcement of WET. WET proficiency testing was evaluated using the z-score, robust z-score and the results showed that 30 participating agencies were "compliance". In addition, $EC_{50}$ values of "unknown sample A" were the normal distribution. Therefore, "unknown sample A" was considered as the most suitable standard toxicity substance.

Analysis on wind condition characteristics for an offshore structure design (해상풍력 구조물 설계를 위한 풍황 특성분석)

  • Seo, Hyun-Soo;Kyong, Nam-Ho;Vaas, Franz;Kim, Hyun-Goo
    • 한국신재생에너지학회:학술대회논문집
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    • 2008.10a
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    • pp.262-267
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    • 2008
  • The long-term wind data are reconstructed from the short-term meteorological data to design the 4 MW offshore wind park which will be constructed at Woljeong-ri, Jeju island, Korea. Using two MCP (Measure-Correlate-Predict) models, the relative deviation of wind speed and direction from two neighboring reference weather stations can be regressed at each azimuth sector. The validation of the present method is checked about linear and matrix MCP models for the sets of measured data, and the characteristic wind turbulence is estimated from the ninety-percent percentile of standard deviation in the probability distribution. Using the Gumbel's model, the extreme wind speed of fifty-year return period is predicted by the reconstructed long-term data. The predicted results of this analysis concerning turbulence intensity and extreme wind speed are used for the calculation of fatigue life and extreme load in the design procedure of wind turbine structures at offshore wind farms.

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Reliability Analysis of Gas Turbine Engine Blades (가스터빈 블레이드의 신뢰성 해석)

  • Lee, Kwang-Ju;Rhim, Sung-Han;Hwang, Jong-Wook;Jung, Yong-Wun;Yang, Gyae-Byung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.12
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    • pp.1186-1192
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    • 2008
  • The reliability of gas turbine engine blades was studied. Yield strength, Young’s modulus, engine speed and gas temperature were considered as statistically independent random variables. The failure probability was calculated using five different methods. Advanced Mean Value Method was the most efficient without significant loss in accuracy. When random variables were assumed to have normal, lognormal and Weibull distributions with the same means and standard deviations, the CDF of limit state equation did not change significantly with the distribution functions of random variables. The normalized sensitivity of failure probability with respect to standard deviations of random variables was the largest with gas temperature. The effect of means and standard deviations of random variables was studied. The increase in the mean of gas temperature and the standard deviation of engine speed increased the failure probability the most significantly.