• Title/Summary/Keyword: normalized k

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A SELF-NORMALIZED LIL FOR CONDITIONALLY TRIMMED SUMS AND CONDITIONALLY CENSORED SUMS

  • Pang Tian Xiao;Lin Zheng Yan
    • Journal of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.859-869
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    • 2006
  • Let {$X,\;X_n;n\;{\geq}\;1$} be a sequence of ${\imath}.{\imath}.d.$ random variables which belong to the attraction of the normal law, and $X^{(1)}_n,...,X^{(n)}_n$ be an arrangement of $X_1,...,X_n$ in decreasing order of magnitude, i.e., $\|X^{(1)}_n\|{\geq}{\cdots}{\geq}\|X^{(n)}_n\|$. Suppose that {${\gamma}_n$} is a sequence of constants satisfying some mild conditions and d'($t_{nk}$) is an appropriate truncation level, where $n_k=[{\beta}^k]\;and\;{\beta}$ is any constant larger than one. Then we show that the conditionally trimmed sums obeys the self-normalized law of the iterated logarithm (LIL). Moreover, the self-normalized LIL for conditionally censored sums is also discussed.

Pose-Normalized 3D Face Modeling (포즈 정규화된 3D 얼굴 모델링 기법)

  • Yu, Sun-Jin;Kim, Sang-Ki;Kim, Il-Do;Lee, Sang-Youn
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.455-456
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    • 2006
  • This paper presents an automatic pose-normalized 3D face data acquisition method using 2D and 3D information. We propose an automatic pose-normalized 3D face acquisition method that accomplishes 3D face modeling and 3D face pose-normalization at once. The proposed method uses 2D information with AAM (Active Appearance Model) and 3D information with 3D normal vector. The 3D face modeling system consists of 2 cameras and 1 projector. In order to verify proposed pose-normalized 3D modeling method, we made an experiment for 2.5D face recognition. The experimental result shows that proposed method is robust against pose variation.

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A Study on the Undrained Characteristics of Highly plastic soils II: Factors on Strength (고소성토의 비배수 특성에 관한 연구 II: 비배수강도 영향요소)

  • Kim, Dae-Kyu
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.9
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    • pp.4253-4258
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    • 2012
  • The investigation of the undrained strength and the important several undrained geotechnical properties was, in detail, made for highly plastic soils using the field and laboratory testing results. The plastic index, activity, water content, and effective unit weight did not show the notable relationship with both Su and normalized Su. The OCR, sensitivity, and undrained elastic modulus presented remarkable tendency with normalized Su. It could be concluded that the use of the normalized Su may lead to the reasonable results then the normalized Su needs further research.

Leaky Dispersion Characteristics in Circular Dielectric Rod Using Davidenko's Method

  • Kim Ki Young;Tae Heung-Sik;Lee Jeong-Hae
    • Journal of electromagnetic engineering and science
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    • v.5 no.2
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    • pp.72-79
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    • 2005
  • The leaky dispersion characteristics of a circular dielectric rod were investigated using Davidenko's method for several lower-order transverse magnetic(TM) modes. The normalized complex propagation constants were precisely determined and their tolerances below $10^{-10}$ compared with zero for both real and imaginary parts. It was also checked whether the normalized complex propagation constants obtained represented forward leaky waves. The leaky modes existing below the cutoff frequency of the guided mode were classified as a nonphysical mode, reactive mode, antenna mode, and spectral gap based on a precise determination of the complex propagation constants. Finally, the effects of the dielectric constant and radius of the dielectric rod on the leaky dispersion characteristics were also considered.

Crack identification in short shafts using wavelet-based element and neural networks

  • Xiang, Jiawei;Chen, Xuefeng;Yang, Lianfa
    • Structural Engineering and Mechanics
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    • v.33 no.5
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    • pp.543-560
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    • 2009
  • The rotating Rayleigh-Timoshenko beam element based on B-spline wavelet on the interval (BSWI) is constructed to discrete short shaft and stiffness disc. The crack is represented by non-dimensional linear spring using linear fracture mechanics theory. The wavelet-based finite element model of rotor system is constructed to solve the first three natural frequencies functions of normalized crack location and depth. The normalized crack location, normalized crack depth and the first three natural frequencies are then employed as the training samples to achieve the neural networks for crack diagnosis. Measured natural frequencies are served as inputs of the trained neural networks and the normalized crack location and depth can be identified. The experimental results of fatigue crack in short shaft is also given.

Multiple Target Tracking using Normalized Rayleigh Likelihood of Amplitude Information of Target (Normalized Rayleigh Likelihood를 활용한 표적신호세기정보 적용 다중표적추적 기술)

  • Kim, Sujin;Jung, Younghun;Kim, Seongjoon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.4
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    • pp.474-481
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    • 2017
  • This paper presents a multiple target tracking system using Normalized Rayleigh likelihood of amplitude information of target. Although many studies of Radar systems using amplitude information have been studied, they are focused on single target tracking. This paper proposes the multiple target tracking using amplitude information as well as kinematic information from Radar sensor. The amplitude information are applied in generating the association probability of joint probabilistic data association(JPDA) algorithm through the normalized Rayleigh likelihood. It is verified that the proposed system can enhance the track maintenance and tracking accuracy, especially, in the target crossing case.

A Study on Distribution Based on the Normalized Sample Lorenz Curve

  • Suk-Bok kang;Cho, Young-Suk
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.185-192
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    • 2001
  • Using the Lorenz curve that is proved to be a powerful tool to measure the income inequality within a population of income receivers, we propose the normalized sample Lorenz curve for the goodness-of-fit test that is very important test in statistical analysis. For two hodgkin's disease data sets, we compare the Q-Q plot and the proposed normalized sample Lorenz curve.

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A Comparison of Mental Health of School Age Children between Urban and Rural Area and a Correlation Analysis of Subjective Mental Health Indicators and Heart Rate Variability (도시와 산촌 학령기아동의 정신건강 비교 및 주관적 정신건강 지표와 심박변이도(HRV)의 상관관계 분석)

  • Bang, Kyung Sook;Lee, In Sook;Kim, Sung Jae;Yoon, Jae Hee;Lee, Juna
    • Journal of the Korean Society of School Health
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    • v.30 no.3
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    • pp.266-273
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    • 2017
  • Purpose: This study was performed to compare the mental health of school age children residing in urban and rural areas and to analyze the correlations between the subjective mental health indicators such as depression and attention deficit-hyperactivity behavior and heart rate variability (HRV) indicators. Methods: For this study, a convenience sample of one hundred and three children was recruited. Depression and attention deficit-hyperactivity behavior were measured using self-reported questionnaires and HRV indicators were measured using an electronic instrument. Results: Among the HRV parameters of the rural children, their normalized LF and the LF / HF were significantly lower than those of the urban children. The RMSSD and the normalized HF were statistically significantly higher. The level of depression showed a significant positive correlation with the normalized LF and LF/HF, but showed a negative correlation with the normalized HF. Also, the level of attention deficit-hyperactivity behavior was significantly correlated with the normalized LF, LF/HF, and the normalized HF. Conclusion: Based on the findings, we expect that HRV indicators can be applied to predict the level of depression and attention deficit-hyperactivity behavior in elementary school children.

Extended Temporal Ordinal Measurement Using Spatially Normalized Mean for Video Copy Detection

  • Lee, Heung-Kyu;Kim, June
    • ETRI Journal
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    • v.32 no.3
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    • pp.490-492
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    • 2010
  • This letter proposes a robust feature extraction method using a spatially normalized mean for temporal ordinal measurement. Before computing a rank matrix from the mean values of non-overlapped blocks, each block mean is normalized so that it obeys the invariance property against linear additive and subtractive noise effects and is insensitive against multiplied and divided noise effects. Then, the temporal ordinal measures of spatially normalized mean values are computed for the feature matching. The performance of the proposed method showed about 95% accuracy in both precision and recall rates on various distortion environments, which represents the 2.7% higher performance on average compared to the temporal ordinal measurement.

Decolorization kinetics and characteristics of the azo dye acid red 18 in MSBR system at various HRTs and SRTs

  • Zonoozi, M. Hasani;Moghaddam, M.R. Alavi;Maknoon, R.
    • Membrane and Water Treatment
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    • v.5 no.4
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    • pp.281-293
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    • 2014
  • The present work aimed to study the decolorization kinetics and characteristics of a selected azo dye under the influence of two key operational parameters including hydraulic retention time (HRT) and solid retention time (SRT). The decolorization efficiency and the two important criteria of k and normalized k (k/MLSS) were evaluated in lab-scale membrane sequencing batch reactors (MSBRs) at various HRTs of 48, 24 and 16 h (with constant SRT) and in addition, at various SRTs of infinity, 40 and 10 d (with constant HRT). According to the obtained results, both zero and first-order kinetics were properly fitted the decolorization profiles of the selected azo dye in all of the applied HRTs and SRTs. Increase of both HRT and SRT positively affected the decolorization efficiency. More MLSS concentrations corresponded to the lower HRTs and the higher SRTs resulted in higher decolorization rate constants (k). However, the effect of reducing the HRT was not compensated by increase of the MLSS concentration in order to reach higher decolorization efficiency. In addition, increase of the decolorization efficiency, as a consequence of the higher MLSS concentrations at longer SRTs, was restrained by decrease of the time-limited decolorization capability of biomass (represented by normalized k). Evaluation of both k and normalized k is suggested in order to have a more precise study on the decolorization kinetics and characteristics.