• Title/Summary/Keyword: Kurtosis and skewness

Search Result 224, Processing Time 0.024 seconds

Further Applications of Johnson's SU-normal Distribution to Various Regression Models

  • Choi, Pilsun;Min, In-Sik
    • Communications for Statistical Applications and Methods
    • /
    • v.15 no.2
    • /
    • pp.161-171
    • /
    • 2008
  • This study discusses Johnson's $S_U$-normal distribution capturing a wide range of non-normality in various regression models. We provide the likelihood inference using Johnson's $S_U$-normal distribution, and propose a likelihood ratio (LR) test for normality. We also apply the $S_U$-normal distribution to the binary and censored regression models. Monte Carlo simulations are used to show that the LR test using the $S_U$-normal distribution can be served as a model specification test for normal error distribution, and that the $S_U$-normal maximum likelihood (ML) estimators tend to yield more reliable marginal effect estimates in the binary and censored model when the error distributions are non-normal.

Derivation of Optimal Design Flood by L-Moments (L-모멘트법에 의한 적정 설계홍수량의 유도)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • Proceedings of the Korean Society of Agricultural Engineers Conference
    • /
    • 1998.10a
    • /
    • pp.318-324
    • /
    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme-value(GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the relative mean and relative absolute error. It was found that design floods derived by the method of L-moments using weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions in view of relative mean and relative absolute error.

  • PDF

On Estimating Good Reliability Coefficient when the Test is Split into Several Formats of Subtests and Standardizing the Raw Score, whose Distribution is Departed from Normality. (부문항이 분할된 고사에서 우량한 신뢰도 계수추경과 그 평가치 분포의 정규화)

  • 홍석강
    • The Mathematical Education
    • /
    • v.41 no.1
    • /
    • pp.109-126
    • /
    • 2002
  • In this thesis. we estimated the good reliability coefficient ${\beta}$$\sub$k/ that is unbiased, consistent and more efficient than Cronbach's ${\alpha}$$\sub$k/ in splitting of a test into several formats of subtests and several properties of ${\beta}$$\sub$k/ are also represented. The tables of coefficients of skewness and kurtosis are represented to test the significance of departures from normality. We got the cumulative normal plots of z'from the distribution which is departed from normality using the Bock's approximation procedure and we finally enumerated the transformed standardized scores z'and a new raw score X' which enable us to proceed further evaluation procedures depending on our assessment policy.

  • PDF

Comparative Analysis of Design Drought Flow by L-Moment in the Weibull-3 and Wakeby distributions (Weibull -3 및 Wakeby 분포의 L-모멘크법에 의한 설계갈수량 비교분석)

  • 이순혁;박종화;맹승진;류경식;지호근
    • Proceedings of the Korean Society of Agricultural Engineers Conference
    • /
    • 1999.10c
    • /
    • pp.531-536
    • /
    • 1999
  • This study was carried out to derive optimal design drought flows by the Weibull-3 and Wakeby distributions for the annual drought flows series at seven watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. L-coefficient of variation , L-skewness and L-kurtosis were calculated by the L-moment ratio respectivley. Parameters were estimated by the Methods o fL-Moments with continuous duration. Design drought flows obtained by Methods of L-Moments using Weibull plotting positions formula in the Weibull-3 and Wakeby distributions were compared by the Relative Mean Errors(RME), Relative Absolute Errors (RAE) and Root Mean Square Errors(RMSE). It has shown that design drought flows by the Wakeby distribution using method of L-moments are much closer to those of the observed data in comparison with those obtained by the Weibull-3 distribution using method of L-moments.

  • PDF

Properties of PD and Classification of Defect Patterns in Solid Insulation (고체절연체의 내부결함에 따른 부분방전 특성과 패턴분류)

  • Kang, S.H.;Park, Y.G.;Lee, K.W.;KiM, W.S.;Lee, Y.H.;Lim, K.J.
    • Proceedings of the KIEE Conference
    • /
    • 1999.07d
    • /
    • pp.1624-1626
    • /
    • 1999
  • PD in defect of solid insulation system is very harmful since It often leads to deterioration of insulation by the combined action of the discharge ions bombarding the surface and the action of chemical compounds that are formed by the discharge. PD can indicate incipient failure, so it has been used to determine degradation of insulation. In this paper. we investigated PD in defects of solid insulation by using statical method and classified PD patterns with surface discharge, electrical tree and void discharge by using Kohonen network. we used peak charge, average discharge power, average discharge current, repetition rate, skewness, kurtosis, QN of the max pulse height vs. repetition rate $H_q(n)$ for analysis and classification.

  • PDF

Experimental Study on Flow Noise Generated by Axi-symmetric Boundary Layer (II) - Forced Transition on an Axi-symmetric Nose and Radiated Sound - (축대칭 물체의 경계층 유동소음에 대한 실험적 연구(II) - 전두부 천이제어 및 방사소음 -)

  • Lee, Seung-Bae;Kim, Hooi-Joong;Kwon, O-Sup;Lee, Sang-Kwon
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.24 no.10
    • /
    • pp.1326-1334
    • /
    • 2000
  • The oscillatory excitation with a Strouhal number of 2.65 ncar the stagnation zone of hemispherical nose model was employed to control the laminar separation bubble and the transition to turbulence. The effects of oscillatory excitation upon the separation bubble and the transition were addressed in terms of kurtosis/skewness and time-frequency analyses. The measured noise spectrum of radiated sound from the turbulent boundary layer on the axi-symmetric infinite cylinder is compared with that by Sevik's wave-number white approximations. The noise sources in TBL on axi-symmetric cylinder and the caling of their far-field sound are also discussed.

An Error Compensation in Rough Surface Measurement by Contact Stylus Profilometer (표면미세형상측정을 위한 접촉식 형상측정기의 오차 보정)

  • 조남규
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.8 no.1
    • /
    • pp.126-134
    • /
    • 1999
  • In this paper, a new error compensating technique for form-error compensation of rough-surface profile obtained by contact stylus profilometer is proposed. By the method, the real contact points of rough-surface and diamond stylus can be estimated and the measured profile data corrected. To verify the compensation effect, the properties(Ra, RMS, Kurtosis, Skewness) of measured profile data and compensated data were compared. And, the cumulative RMS slope was proposed to assess the compensated effect of upper area of profile. The results show that the measuring error could be compensated very well in amplitude parameters and in proposed cumulative RMS slope by the developed form-error compensating technique.

  • PDF

Fault Detection of the Machine Tool Gearbox using Acoustic Emission Methodof (음향 방출법에 의한 공작기계 기어상자의 결함 검출)

  • Kim, Jong-Hyeon;Kim, Won-Il
    • Journal of the Korean Society of Manufacturing Process Engineers
    • /
    • v.11 no.4
    • /
    • pp.154-159
    • /
    • 2012
  • Condition monitoring(CM) is a method based on Non-destructive test(NDT). Therefore, recently many kind of NDT were applied for CM. Acoustic emission(AE) is widely used for the early detection of faults in rotating machinery in these days also. Because its sensitivity is higher than normal accelerometers and it can detect low energy vibration signals. A machine tool consist of many parts such as the bearings, gears, process tools, shaft, hydro-system, and so on. Condition of Every part is connected with product quality finally. To increase the quality of products, condition monitoring of the components of machine tool is done completely. Therefore, in this paper, acoustic emission method is used to detect a machine fault seeded in a gearbox. The AE signals is saved, and power spectrums and feature values, peak value, mean value, RMS, skewness, kurtosis and shape factor, were determined through Matlab.

Comparative Analysis of Deisgn Low Flow by L-moment in the Weibull-3 and Wakeby distributions (Weibull-3 및 Wakeby 분포모형의 L-모멘트법에 의한 설계갈수량 비교분석)

  • 이순혁
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.42 no.3
    • /
    • pp.45-55
    • /
    • 2000
  • This study was carried out to derive optimal design low flows bythe Weibull-3 and Wakeby distributions for the partial consecutive duration series at seven watersheds along Han. nagdong, Geum Yeongsan and Seomjin river systems. L-coefficient of variation L-skewness and L-kurtosis were calculated by the L-moment ratio respectively. Parameters were estimated by the method of L-Moments with consecutive duration. Design low flows obtained by method of L-Moments using with consecutive duration, Design low flows obtained by method of L-Moments using different methods for plotting positions formulas in the Weibull-3 and Wakeby distributions were compared by the Root Mean Square Errors(RMSE). It has shown that design low flows derived by the method of L-moments using Weivull plotting position formula in Wakeby distribution were much closer to those of the observed data in comparison with those obtained by the methods of L-moments with the different formulas for plotting positions in Weibull-3 distribution from the viewpoint of Root Mean Square Errors.

  • PDF

Identification of fault signal for rotating machinery diagnosis using Blind Source Separation (BSS) (BSS를 이용한 회전 기계 진단 신호 분석)

  • Seo, Jong-Soo;Lee, Jeong-Hak;J. K. Hammond
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2003.05a
    • /
    • pp.839-845
    • /
    • 2003
  • This paper introduces multichannel blind source separation (BSS) and multichannel blind deconvolution (MBD) based on higher order statistics of signals from convolutive mixtures. In particular, we are concerned with the case that the number of inputs is the same as the number of outputs. Simulations for two input two output cases are carried out and their performances are assessed. One of the major applications of those sequential algorithms (BSS and MBD) is demonstrated through the fault signal detection from only a single measurement of rotating machine, which offers a certain degree of practicability in the engineering field such as machine health monitoring or condition monitoring.

  • PDF