• Title/Summary/Keyword: Standard deviations

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The standard deviations for eigenvalues of the closed-loop systems with random parameters

  • Chen, Su Huan;Liu, Chun;Chen, Yu Dong
    • Structural Engineering and Mechanics
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    • v.18 no.3
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    • pp.331-342
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    • 2004
  • The vibration control problem of structures with random parameters is discussed, which is approximated by a deterministic one. A method for calculating the standard deviations of eigenvalues of the closed-loop systems is presented by using the random perturbation. The method presented in this paper will not require the distribution function of the random parameters of the systems other than their means and variances. Similarly, the distribution function of the random eigenvalues will not be computed other than their means and variances. The standard deviations of eigenvalues of the uncertain closed-loop systems can be used to estimate the stability robustness. The present method is applied to a vibration control system to illustrate the application. The numerical results show that the present method is effective.

The Study of Standard Deviation of Gray Scale Histogram in Digital Subtraction Radiography as a Test Parameter for SuperimpoSition Error (중첩 불일치 평가기준으로서의 계수공제영상의 계조도 표준편차 연구)

  • Cho Bong-Hae
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.29 no.2
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    • pp.417-422
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    • 1999
  • Purpose : The aim of this study was to assess the validity of standard deviation of gray scale histogram in digital subtraction radiography as a test parameter for superimposition error. Materials and Methods : Twenty periapical radiographs were used as baseline images and they were copied to exclude the influence of exposure geomety and contrast differences. These subsequent images were linearly displaced by 0.1-0.5 mm in the x-. y- and xy-directions, rotated by 0.5-3° and distorted by angular contraction of 1-5° in x- and y-axis before subtraction. The standard deviations of gray levels in the subtraction images were obtained and paired t-tests were performed. Pearson correlation coefficients(r) were calculated between the standard deviations and the superimposition errors. Results : Linear displacement showed high correlation coefficients of 0.997, 0.997 and 0.995 in x-. y- and xy-axis respectively. Statistically significant different standard deviation existed among all linearly displaced groups(p<0.05). Distortion showed relatively low correlation coefficients of 0.982 and 0.959 in x- and y-axis. The standard deviations between the two distortion groups were statistically significant different(p<0.05). Conclusion : Standard deviation of gray level distribution in digital subtraction images is satisfactory but not perfect similarity measure to assess the superimposition errors.

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Deviations from power-law primordial spectrum

  • Gong, Jinn-Ouk
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.2
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    • pp.58.3-58.3
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    • 2019
  • We discuss theoretical motivations for deviations from standard power-law primordial power spectrum and possible mechanism to provide non-trivial scale dependence for the primordial power spectrum.

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Variable Sampling Interval $\bar{X}$ Control Chart Using Weighted Standard Deviation Method (가중표준편차를 이용한 가변표본채취간격 $\bar{X}$ 관리도)

  • Chang, Youngsoon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.1
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    • pp.1-12
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    • 2014
  • This article proposes a variable sampling interval (VSI) $\bar{X}$ control chart using weighted standard deviation (WSD) method for skewed populations. The WSD method decomposes the standard deviation of a quality characteristic into upper and lower deviations and adjusts control limits and warning limits of a control chart in accordance with the direction and degree of skewness. A control chart constant is derived for estimating the standard deviation of skewed distributions with the mean of sample standard deviations. The proposed chart is compared with the conventional VSI $\bar{X}$ control chart under some skewed distributions. Simulation study shows that the proposed WSD VSI chart can control the in-control average time to signal (ATS) as an adequate level better than the conventional VSI chart, and the proposed chart can detect a decrease in the process mean of a quality characteristic following a positively skewed distribution more quickly than the standard VSI chart.

Character Segmentation in a Grayscale Image using the Standard Deviation (그레이스케일 영상에서 표준 편차를 이용한 문자 분할)

  • Jung, Min Chul
    • Journal of the Semiconductor & Display Technology
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    • v.11 no.2
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    • pp.27-31
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    • 2012
  • This paper proposes a new method of character segmentation in a grayscale image using the standard deviation. Firstly, the proposed method scans vertically the region of interest in an image in order to calculate a standard deviation for each scan line. Characters' standard deviations are much bigger than the background's. Therefore, it is possible to segment characters vertically using the differentiation of those two types of standard deviations. Secondly, the method scans each vertically segmented image horizontally at this time, and then segments each image similarly. The proposed method is implemented using C language in an embedded Linux system for a high-speed real-time image processing. Experiments were conducted by using credit card images. The results show that the proposed algorithm is quite successful for most credit cards. However, the method fails in some credit cards with strong background patterns.

Comparison of Coal Procurement Strategies Using Forecasting Models (예측모형을 활용한 유연탄 구매전략의 효과분석)

  • Yun, Won-Cheol
    • Environmental and Resource Economics Review
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    • v.16 no.2
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    • pp.337-361
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    • 2007
  • Using the sample of bituminous coal prices, this study calculates the cash flows of selective procurement strategies compared to the previous routine procurement strategies, and analyzes the revenue-improvement and revenue-stabilization effects of different procurement strategies. In empirical analyses, these effects of routine and selective procurement strategies are compared by forecasting model and forecasting period. The revenue-improvement and revenue-stabilization effects are analyzed to compare the distribution of return flows, that is the means and standard deviations of procurement revenue flows. The revenue-improvement and revenue-stabilization effects of selective procurement strategies compared to the previous routine procurement strategies are as follows. Compared with routine procurement strategies, the selective procurement strategies turn out to yield higher means of returns (except for some forecasting periods and models). On the contrary, the standard deviations of returns decrease. With longer forecasting periods, the amounts of increases in the means become larger, but the degrees of decreases in the standard deviations vary. Although there exist some variations, some forecasting models outperform the others in terms of means and standard deviations.

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Process Capability Indices for Skewed Populations (비대칭 모집단에 대한 공정능력지수의 개발)

  • 장영순;배도선
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.365-368
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    • 2000
  • This paper proposes a new heuristic method of constructing process capability indices (PCIs) for skewed populations. It is based on weighted standard deviation (WSD) method which decomposes the standard deviation of a quality characteristic into upper and lower deviations and adjusts the value of PCI using decomposed deviations in accordance with the skewness estimated from sample data. For symmetric populations, the proposed PCIs reduce to standard PCIs. Asymptotic distributions of the estimators of the PCIs are obtained. The performances of the proposed methods are compared with those of the standard and other methods. Numerical comparisons indicate that considerable improvements over existing methods can be achieved by the use of WSD method when the underlying distribution is skewed.

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Uncertainty of Agricultural product Prices by Information Entropy Model using Probability Distribution for Monthly Prices (월별 가격의 확률분포를 이용한 정보엔트로피 모델에 의한 농산물가격의 불확정성)

  • Eun, Sang-Kyu;Jung, Nam-Su;Lee, Jeong-Jae;Bae, Yeong-Joung
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.2
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    • pp.7-14
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    • 2012
  • To analyze any given situation, it is necessary to have information on elements which affect the situation. Particularly, there is greater variability in both frequency and magnitude of agricultural product prices as they are affected by various unpredictable factors such as weather conditions etc. This is the reason why it is difficult for the farmers to maintain their stable income through agricultural production and marketing. In this research, attempts are made to quantify the entropy of various situations inherent in the price changes so that the stability of farmers' income can be increased. Through this research, we developed an entropy model which can quantify the uncertainties of price changes using the probability distribution of price changes. The model was tested for its significance by comparing its simulation outcomes with actual ranges and standard deviations of price variations of the past using monthly agricultural product prices data. We confirmed that the simulation results reflected the features of the ranges and standard deviations of actual price variations. Also, it is possible for us to predict standard deviations for changed prices which will occur after a certain time using the information entropy obtained from relevant agricultural product price data before the time.

Relationship between position error and the inner configuration of GPS receivers (GPS 수신기의 내부설정과 위치오차의 관계)

  • Ahn, Jang-Young;Kim, Heung-Soo
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.41 no.3
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    • pp.213-221
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    • 2005
  • In order to get more accurate GPS position with the changes of the inner configuration setting of GPS receiver, the authors carried out measurements of the position at known it with one antenna and two GPS receivers manufactured by same company. We have investigated the accuracies of positions according to the change of the maskangle and receiving mode of output data in inner configuration of GPS receivers, and analyzed the relationships between numbers of satellites visibility and maskangles, and values of HDOP and maskangles. When the maskangles in inner configuration were set below 20 degree, the accuracies of positions were high. But if they were became bigger than 25 degree, standard deviations ot position errors and HDOPS of positions were became bigger. Numbers of satellites visibility(y) and maskangles(x) have relations with a formula, y = -0.1662x+9.9225, and values of HDOP(y) and maskangles(x) have relations with a formula, y = 0.6035 $e^{0.0517x}$. The results of position accuracies observed by two GPS receivers to the known position at same time were that average errors of position fixs by GPS receiver configured with NMEA0183 mode were 6.7m and standard deviations were 1.5m, and them by GPS receiver configured with binary mode were 5.0m and standard deviations were 1.1m respectively.

Analysis of Chemistry Factor and RTPTS Margin for Domestic Reactor Pressure Vessel Materials by using the Surveillance Data (감시시험 결과를 이용한 국내원전 압력용기 재료의 Chemistry Factor 및 RTPTS 평가여유도 분석)

  • Lee, Ho-Jin;Yoon, Ji-Hyun;Choi, Kwon-Jae;Lee, Bong-Sang
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.7 no.3
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    • pp.15-22
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    • 2011
  • The chemistry factor and RTPTS margin for domestic reactor pressure vessel materials were analyzed by using the surveillance data which have been obtained from 8 nuclear power plants in Korea. The surveillance data have been used to assess the integrity of the pressure vessel under the pressurized thermal shock (PTS) event. The chemistry factor, which is determined by the Cu and Ni contents of vessel materials, is considered a proper tool to assess the $RT_{PTS}$. The chemistry factors, which were obtained from the surveillance data of domestic reactor pressure vessels, were investigated and compared with those of Regulatory Guide 1.99 in this study. Regressions for ${\Delta}RT_{NDT}$ were performed to expect the chemistry factor as a function of Cu and Ni, and to estimate $RT_{PTS}$ margin. The margin analysis was performed by comparing the regression graphs and standard deviations with those of Regulatory Guide 1.99. The standard deviations calculated by using the domestic surveillance data for base metal and welds are almost same as the standard deviations which are suggested on Regulatory Guide 1.99, Rev.2.