• 제목/요약/키워드: normality

검색결과 718건 처리시간 0.024초

무접점 전원공급 시 1차측 전류를 이용한 금속 물질 검출에 관한 연구 (The Metal Detection using Primary Current in Contact-less Power Supply)

  • 김유석;유주희;김춘삼;성원기
    • 전력전자학회논문지
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    • 제17권5호
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    • pp.445-452
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    • 2012
  • The impurity detection method applied to existing discriminated the normality(R, L, C) and impurity(Metal) load using mutual RFID/ID method in the contactless power supply in which the primary side and the secondary side are completely separation by using the contactless transformer. However, this kind of system is caused the high cost of the system and complexity of control. Therefore, in this paper was proposed the contact-less power transfer using the primary current that determine normality or impurity load by compare the primary current Amplitude to reference quantity value and design the 3[W] contact-less power transfer and conduct an experiment for demonstrate the validity.

Goodness of Fit Test of Normality Based on Kullback-Leibler Information

  • Kim, Jong-Tae;Lee, Woo-Dong;Ko, Jung-Hwan;Yoon, Yong-Hwa;Kang, Sang-Gil
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.909-918
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    • 1999
  • Arizono and Ohta(1989) studied goodness of fit test of normality using the entropy estimator proposed by Vasicek (1976) Recently van Es(1992) and Correa(1995) proposed an estimator of entropy. In this paper we propose goodness of fit test statistics for normality based on Vasicek ven Es and Correa. And we compare the power of the proposed test statistics with Kolmogorov-Smirnov Kuiper Cramer von Mises Watson Anderson-Darling and Finkelstein and Schefer statistics.

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A note on the test for the covariance matrix under normality

  • Park, Hyo-Il
    • Communications for Statistical Applications and Methods
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    • 제25권1호
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    • pp.71-78
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    • 2018
  • In this study, we consider the likelihood ratio test for the covariance matrix of the multivariate normal data. For this, we propose a method for obtaining null distributions of the likelihood ratio statistics by the Monte-Carlo approach when it is difficult to derive the exact null distributions theoretically. Then we compare the performance and precision of distributions obtained by the asymptotic normality and the Monte-Carlo method for the likelihood ratio test through a simulation study. Finally we discuss some interesting features related to the likelihood ratio test for the covariance matrix and the Monte-Carlo method for obtaining null distributions for the likelihood ratio statistics.

A Jarque-Bera type test for multivariate normality based on second-power skewness and kurtosis

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • 제28권5호
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    • pp.463-475
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    • 2021
  • Desgagné and de Micheaux (2018) proposed an alternative univariate normality test to the Jarque-Bera test. The proposed statistic is based on the sample second power skewness and kurtosis while the Jarque-Bera statistic uses sample Pearson's skewness and kurtosis that are the third and fourth standardized sample moments, respectively. In this paper, we generalize their statistic to a multivariate version based on orthogonalization or an empirical standardization of data. The proposed multivariate statistic follows chi-squared distribution approximately. A simulation study shows that the proposed statistic has good control of type I error even for a very small sample size when critical values from the approximate distribution are used. It has comparable power to the multivariate version of the Jarque-Bera test with exactly the same idea of the orthogonalization. It also shows much better power for some mixed normal alternatives.

A modified test for multivariate normality using second-power skewness and kurtosis

  • Namhyun Kim
    • Communications for Statistical Applications and Methods
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    • 제30권4호
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    • pp.423-435
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    • 2023
  • The Jarque and Bera (1980) statistic is one of the well known statistics to test univariate normality. It is based on the sample skewness and kurtosis which are the sample standardized third and fourth moments. Desgagné and de Micheaux (2018) proposed an alternative form of the Jarque-Bera statistic based on the sample second power skewness and kurtosis. In this paper, we generalize the statistic to a multivariate version by considering some data driven directions. They are directions given by the normalized standardized scaled residuals. The statistic is a modified multivariate version of Kim (2021), where the statistic is generalized using an empirical standardization of the scaled residuals of data. A simulation study reveals that the proposed statistic shows better power when the dimension of data is big.

데이터 증가를 통한 선형 모델의 일반화 성능 개량 (중심극한정리를 기반으로) (Improvement of generalization of linear model through data augmentation based on Central Limit Theorem)

  • 황두환
    • 지능정보연구
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    • 제28권2호
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    • pp.19-31
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    • 2022
  • 기계학습 모델 구축 간 트레이닝 데이터를 활용하며, 훈련 간 사용되지 않은 테스트 데이터를 활용하여 모델의 정확도와 일반화 성능을 판단한다. 일반화 성능이 낮은 모델의 경우 새롭게 받아들이게 되는 데이터에 대한 예측 정확도가 현저히 감소하게 되며 이러한 현상을 두고 모델이 과적합 되었다고 한다. 본 연구는 중심극한정리를 기반으로 데이터를 생성 및 기존의 훈련용 데이터와 결합하여 새로운 훈련용 데이터를 구성하고 데이터의 정규성을 증가시킴과 동시에 이를 활용하여 모델의 일반화 성능을 증가시키는 방법에 대한 것이다. 이를 위해 중심극한정리의 성질을 활용해 데이터의 각 특성별로 표본평균 및 표준편차를 활용하여 데이터를 생성하였고, 새로운 훈련용 데이터의 정규성 증가 정도를 파악하기 위하여 Kolmogorov-Smirnov 정규성 검정을 진행한 결과, 새로운 훈련용 데이터가 기존의 데이터에 비해 정규성이 증가하였음을 확인할 수 있었다. 일반화 성능은 훈련용 데이터와 테스트용 데이터에 대한 예측 정확도의 차이를 통해 측정하였다. 새롭게 생성된 데이터를 K-Nearest Neighbors(KNN), Logistic Regression, Linear Discriminant Analysis(LDA)에 적용하여 훈련시키고 일반화 성능 증가정도를 파악한 결과, 비모수(non-parametric) 기법인 KNN과 모델 구성 간 정규성을 가정으로 갖는 LDA의 경우에 대하여 일반화 성능이 향상되었음을 확인할 수 있었다.

Robustness of Predictive Density and Optimal Treatment Allocation to Non-Normal Prior for The Mean

  • Bansal, Ashok K.;Sinha, Pankaj
    • Journal of the Korean Statistical Society
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    • 제22권2호
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    • pp.235-247
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    • 1993
  • The predictive density function of a potential future observation and its first four moments are obtained in this paper to study the effects of a non-normal prior of the unknown mean of a normal population. The derived predictive density function is modified to study changes in utility curves, used to choose the optimum treatment from a given set of treatments, at a given level of stimulus due to slight deviations from normality of the prior distribution. Numerical illustrations are provided to exhibit some effectsl.

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Improving Efficiency of the Moment Estimator of the Extreme Value Index

  • Yun, Seokhoon
    • Journal of the Korean Statistical Society
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    • 제30권3호
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    • pp.419-433
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    • 2001
  • In this paper we introduce a method of improving efficiency of the moment estimator of Dekkers, Einmahl and de Haan(1989) for the extreme value index $\beta$. a new estimator of $\beta$ is proposed by adding the third moment ot the original moment estimator which is composed of the first two moments of the log-transformed sample data. We establish asymptotic normality of the new estimator and examine and adaptive procedure for the new estimator. The resulting adaptive estimator proves to be asymptotically better than the moment estimator particularly for $\beta$<0.

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Testing Whether Failure Rate Changes its Trend Using Censored Data

  • Jeong, Hai-Sung;Na, Myung-Hwan;Kim, Jae-Joo
    • International Journal of Reliability and Applications
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    • 제1권2호
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    • pp.115-121
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    • 2000
  • The trend change in aging properties, such as failure rate and mean residual life, of a life distribution is important to engineers and reliability analysts. In this paper we develop a test statistic for testing whether or not the failure rate changes its trend using censored data. The asymptotic normality of the test statistics is established. We discuss the efficiency values of loss due to censoring.

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Sequential Confidence Intervals for Quantiles Based on Recursive Density Estimators

  • Kim, Sung-Kyun;Kim, Sung-Lai
    • Journal of the Korean Statistical Society
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    • 제28권3호
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    • pp.297-309
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    • 1999
  • A sequential procedure of fixed-width confidence intervals for quantiles satisfying a condition of coverage probability is provided based on recursive density estimators. It is shown that the proposed sequential procedure is asymptotically efficient. In addition, the asymptotic normality for the proposed stopping time is derived.

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