• Title/Summary/Keyword: kurtosis

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A Multi-Resolution Distance Measure Using Proposed Grey Block Distance Algorithms for Principal Component Analysis and Kurtosis (주성분분석과 첨도에서의 제안된 GBD 알고리즘을 이용한 다중해상도 거리 측정)

  • Hong, Jun-Sik
    • Proceedings of the Korea Information Processing Society Conference
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    • 2003.11a
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    • pp.571-574
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    • 2003
  • 본 논문에서는 다중해상도에서 기존의 그레이 블록 거리(grey biock distance; GBD, 이하 GBD)알고리즘과 비교하여 이차원 영상간의 상대적 식별을 더 용이하게 하기 위한 새로운 GBD 알고리즘 방법을 제안한다. 이 제시된 방법은 다중해상도에서 기존의 GBD 알고리즘과 비교해서 영상이 급격히 변화하는 부분의 정보를 잃지 않게 개선할 수 있었다. 모의 실험 예로서 주성분분석(principal component analysis; 이하 PCA) 기법을 적용하여 유용성과 제안된 방법이 이전의 연구보다 k가 감소할 때 편차는 줄어들어 좋은 영상 분류 특징을 보였으며, 첨도(Kurtosis)에서의 영상간의 거리 측정 결과 첨도가 가지고 있는 특성에 의해 영상 분류 시 매우 민감한 반응을 나타내어 k가 4까지만 블록을 분할 할 수 있음을 모의 실험을 통하여 확인할 수 있었다.

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Conditional Skewness and Kurtosis in Natural Exponential Models

  • Hong, Chong-Sun;Lim, Han-Seung
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.887-894
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    • 1998
  • Let T=( $T_1$,…, $T_{k}$;k$\geq$2) be a minimal sufficient and complete statistic for a k-parameter exponential model. Consider a partition of T into ( $T_1$, $T_2$), where $T_1$=( $T_1$,…, $T_{r}$ and $T_2$=( $T_{r+1}$,…, $T_{k}$1$\leq$r$\leq$k-1/). This article represents a way to obtain higher moments such as skewness and kurtosis for the distribution T and the conditional distribution of $T_1$, given $T_2$= $t_2$. These results are illustrated by some examples.s.les.s.

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Power t distribution

  • Zhao, Jun;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • v.23 no.4
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    • pp.321-334
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    • 2016
  • In this paper, we propose power t distribution based on t distribution. We also study the properties of and inferences for power t model in order to solve the problem of real data showing both skewness and heavy tails. The comparison of skew t and power t distributions is based on density plots, skewness and kurtosis. Note that, at the given degree of freedom, the kurtosis's range of the power t model surpasses that of the skew t model at all times. We draw inferences for two parameters of the power t distribution and four parameters of the location-scale extension of power t distribution via maximum likelihood. The Fisher information matrix derived is nonsingular on the whole parametric space; in addition we obtain the profile log-likelihood functions on two parameters. The response plots for different sample sizes provide strong evidence for the estimators' existence and unicity. An application of the power t distribution suggests that the model can be very useful for real data.

Classification of Premature Ventricular Contraction Arrhythmia by Kurtosis Analysis (첨도치 해석을 통한 심실조기수축 부정맥 검출)

  • Kim, Kyeong-Seop;Kim, Jeong-Hwan
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2013.07a
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    • pp.355-356
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    • 2013
  • 심장의 활동을 전기적 변위로 표현되는 심전도 신호는 심장병 진단에 중요한 임상적 파라미터들을 제공한다. 특히 심전도 신호에서 P, QRS Complex,, T 특징점들로 대표되는 파형 변곡점들의 시간상 위치와 크기 및 형태학적 모양은 심장의 이상 리듬을 나타내는 부정맥여부를 검출하는데 핵심적인 역할을 한다. 본 연구에서는 특히 QRS complex 구간에 대한 첨도치의 연산 해석을 통하여 정상적인 심전도 리듬과 심실조기수축 부정맥 리듬을 구분하는 방법을 제시하고 또한 스마트폰을 기반으로 하는 심전도 모니터링 시스템에 적용하고자 하였다.

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The Diagnosis of Treeing Breakdown Using Simultaneous Detection of Electrical Charge and Acoustic Emission Pulse of Partial Discharge (부분 방전 전하와 음향 방출 펄스의 동시 측정에 의한 트리잉 파괴 진단)

  • 김성홍;박재준;김재환
    • Electrical & Electronic Materials
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    • v.10 no.3
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    • pp.247-254
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    • 1997
  • Internal voids in insulators give rise to partial discharge, which causes a local breakdown and even entire insulation breakdown. Recently, the necessity of establishing the way to diagnose the aging of insulation materials and to predict of insulation breakdown become important. The purpose of our work are to investigate the treeing phenomena with an artificial needle shaped void by the charge of discharge and acoustic emission pulse in each phase angle area at the same time. We analyzed the .PHI.-QA-t pattern and .PHI.-AEA-t pattern using statistic operators such as pulse magnitude, pulse number, skewness, kurtosis. Therefore, the relation between the charge of discharge and acoustic emission pulse will be helpful to predict the breakdown just before the breakdown occur.

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Properties of Distribution of PD Pulses accompanying with Propagation of bush-type Tree (부시형 전기트리의 성장에 따른 부분방전 펄스의 분포 특성)

  • Kang, S.H.;Jung, S.H.;Lee, K.W.;Jang, D.U.;Ryu, B.H.;Lim, K.J.
    • Proceedings of the KIEE Conference
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    • 1998.07d
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    • pp.1478-1480
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    • 1998
  • Inception and propagation of electrical tree and properties of partial discharge(PD) pulses accompanying with tree in low density polyethylene were discussed. We observed the characteristics of process of electrical tree by using optical microscope and investigated the statistical characteristics of the PD pulses by analyzing PD quantities and distribution patterns. The PD pulses were analyzed by q-n, $\phi$-n and $\phi$-q distribution. The statistical operators used were skewness(s), kurtosis(k) and average phase angle. The skewness and average discharge phase angle of PD pulses increased as the Propagation of tree. The kurtosis was about 1.8 at the Inception of tree, but It increased as the propagation of tree.

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Control of Pump Performance with Attaching Flaps on Blade Trailing Edges

  • Kanemori, Yuji;Pan, Ying Kang
    • International Journal of Fluid Machinery and Systems
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    • v.1 no.1
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    • pp.109-120
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    • 2008
  • An innovative method of changing a centrifugal low specific speed pump performance and pressure fluctuation by applying outlet flaps to impeller exit has been investigated. The outlet blade edge section corresponds to the trailing edge of wing on the circular-cascade, which dominates the pump performance and pressure fluctuation. Computational fluid dynamics (CFD) analysis of the entire impeller and volute casing and an experimental investigation are conducted. The pressure fluctuation and the vibration of the shaft are measured simultaneously. Kurtosis is applied as a dimensionless parameter with which the unevenness of velocity distribution at impeller outlet is indicated. The influence of the flaps on the pressure fluctuation is explained by the kurtosis. This paper presents a theoretical method of predicting the pump performance related to the attachment of a flap at impeller outlet.

A Study on the Characteristics of AE Signals of Tool Failure for Continuous and Interrupted Cutting under CNC Lathe (CNC선반에서 연속절삭 및 단속절삭시 공구손상에 대한 음향방출신호 특성 연구)

  • Kim, T.B.;Kang, S.Y.;Kim, W.I.;Lee, Y.K.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.4
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    • pp.136-142
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    • 1996
  • Automatic monitoring of cutting process is one of the most important technology in machining. AE sensing technology has been applied to monitoring process and proved to be effective in detecting tool abnor- malities such as tool wear and fracture. In this experimental study. AE signals were detected from the tool holder for continuous and interrupted cutting, which obtained from changing workpice material configuration, under control of constant cutting speed from CNC lathe. From statistical and frequency analysis, the AE signals were analyzed to obtaining the characteristics of continuous and interrupted cutting conditions and tool failure. The Kurtosis values decreased but RMS voltages increased as the cutting speed increased, in both continuous and interrupted cutting. RMS voltage is suddenly increased but Kurtosis value is suddenly decreased when tool failure condition. Power spectrum density of AE signals when tool failure reaches extreme value around 0.065 cycles/ .mu. m.

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Internal PD Pulses Analysis Accompanying with Bush-type Tree in Solid Dielectrics (고체유전체에서 발생한 부시형 전기트리에 수반된 내부 부분방전 펄스 해석)

  • 강성화;홍현문;류부형
    • Journal of the Korean Society of Safety
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    • v.15 no.1
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    • pp.100-105
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    • 2000
  • Correlation between propagation of bush-type electrical tree and internal partial discharges(PD) was discussed. We used specimens with needle-plane electrode system made of LDPE(Low Density Polyethylene), observed inception and propagation of electrical tree by optical microscope interfaced with computer and investigated characteristics of phase resolved PD pulses accompanying with propagation of electrical tree. Electrical tree generally growed bush-type tree. PD data detected and analyzed were average discharge current and statistical operator of q-n, $\psi$- $q_{avg}$, $\psi$-n, ${\psi}-q_{max}$ distribution. Parameters used were skewness, kurtosis, average discharge phase, cross-correlation factor, asymmetry and etc. In generally, average discharge current had good linear relationship with propagation of bush type electrical tree on this experiment. Peak discharge magnitude and repetition rate were increased, but they had not good linear relationship.p.

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Higher Order Statistical Analysis of Sound-Vibration Signal in Rolling Element Bearing with defects (결함이 있는 회전요소 베어링에서 음향-진동 신호의 고차 통계해석)

  • 이해철
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.49-56
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    • 1999
  • This paper present a study on the application of sound pressure and vibration signals to detect the presence of defects in a rolling element bearing using a statistical analysis method. The well established statistical parameters such as the crest factor and the distribution of moments including kurtosis and skewless are utilized in this study. In addition, other statistical parameters derived from the beta distribution function are also used. A comparison study on the performance of the different types of parameter used is also performed. The statistical analysis is used because of its simplicity and quick computation. Under ideal conditions, the statistical method can be used to identify the different types of defect present in the bearing. In addition, the results also reveal that there is no significant advantages in using the beta function parameters when compared to using kurtosis and the crest factor for detecting and identifying defects in rolling element bearings from both sound and vibration signals.

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