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Goodness-of-fit tests for randomly censored Weibull distributions with estimated parameters

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.24 no.5
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    • pp.519-531
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    • 2017
  • We consider goodness-of-fit test statistics for Weibull distributions when data are randomly censored and the parameters are unknown. Koziol and Green (Biometrika, 63, 465-474, 1976) proposed the $Cram\acute{e}r$-von Mises statistic's randomly censored version for a simple hypothesis based on the Kaplan-Meier product limit of the distribution function. We apply their idea to the other statistics based on the empirical distribution function such as the Kolmogorov-Smirnov and Liao and Shimokawa (Journal of Statistical Computation and Simulation, 64, 23-48, 1999) statistics. The latter is a hybrid of the Kolmogorov-Smirnov, $Cram\acute{e}r$-von Mises, and Anderson-Darling statistics. These statistics as well as the Koziol-Green statistic are considered as test statistics for randomly censored Weibull distributions with estimated parameters. The null distributions depend on the estimation method since the test statistics are not distribution free when the parameters are estimated. Maximum likelihood estimation and the graphical plotting method with the least squares are considered for parameter estimation. A simulation study enables the Liao-Shimokawa statistic to show a relatively high power in many alternatives; however, the null distribution heavily depends on the parameter estimation. Meanwhile, the Koziol-Green statistic provides moderate power and the null distribution does not significantly change upon the parameter estimation.

Variable Selection for Logistic Regression Model Using Adjusted Coefficients of Determination (수정 결정계수를 사용한 로지스틱 회귀모형에서의 변수선택법)

  • Hong C. S.;Ham J. H.;Kim H. I.
    • The Korean Journal of Applied Statistics
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    • v.18 no.2
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    • pp.435-443
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    • 2005
  • Coefficients of determination in logistic regression analysis are defined as various statistics, and their values are relatively smaller than those for linear regression model. These coefficients of determination are not generally used to evaluate and diagnose logistic regression model. Liao and McGee (2003) proposed two adjusted coefficients of determination which are robust at the addition of inappropriate predictors and the variation of sample size. In this work, these adjusted coefficients of determination are applied to variable selection method for logistic regression model and compared with results of other methods such as the forward selection, backward elimination, stepwise selection, and AIC statistic.

Degradation Study of Organic TFTs under UV irradiation stress

  • Yan, Jing-Yi;Liao, Ko-Pin;Liao, Jin-Long;Chen, Liang-Hsiang;Lin, Mei-Ru;Lee, Tzu-Wei;Yeh, Shu-Tung;Cheng, Kung-You;Wu, Yen-Yu;Yu, Chien-Hsien;Lee, Yen-Ying;Ho, Jia-Chong
    • 한국정보디스플레이학회:학술대회논문집
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    • 2008.10a
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    • pp.226-227
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    • 2008
  • Pentacene based TFT showed a degraded mobility and saturation current (Ion) after exposure to the high energy ultraviolet (UV). In this article, we optimize the thickness of UV resisted layer on OTFT to restrain the degradation from protect layer deposition and study the UV aging effect of pentacene based TFT. The OTFT deivce with UV resisted layer could keep over 50% mobility after suffered UV $10^3J$.

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Suppression for Logistic Regression Model (로지스틱 회귀모형에서의 SUPPRESSION)

  • Hong C. S.;Kim H. I.;Ham J. H.
    • The Korean Journal of Applied Statistics
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    • v.18 no.3
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    • pp.701-712
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    • 2005
  • The suppression for logistic regression models has been debated no longer than that for linear regression models since, among many other reasons, sum of squares for regression (SSR) or coefficient of determination ($R^2$) could be defined into various ways. Based on four kinds of $R^2$'s: two kinds are most preferred, and the other two are proposed by Liao & McGee (2003), four kinds of SSR's are derived so that the suppression for logistic models is explained. Many data fitted to logistic models are generated by Monte Carlo method. We explore when suppression happens, and compare with that for linear regression models.

Tea Utensils Represented on the Tomb Mural Paintings of Foreign Exchange Countries with Koryo Dynasty (고려 대외교류국의 고분벽화에 나타난 차구(茶具))

  • Koh, Kyung-Hee
    • Journal of the Korean Society of Food Culture
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    • v.30 no.6
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    • pp.736-749
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    • 2015
  • The present study addresses the tea utensils and tea drinking methods seen in tomb mural paintings of Song, Liao, Jin, and Yuan, which were Koryo's foreign exchange countries. The paintings illustrate the pointing tea method, which was popular during dynasty times. Tea utensils observed in the paintings include a tea mill, mill stone, and tea pestle necessary for making cake tea into powder. The tea stove and boiling bottle are depicted as being required to boil water. Some mural works vividly depict how a tea drinker pours hot water from a boiling bottle into a cup with a stand, mixes it with a tea spoon, and whisks tea powder for foaming with a tea whisk. The tea drinking method of the Southern race Han is also similarly described in the tomb mural paintings of Liao, Jin, and Yuan from Northern nomads. The distribution of tea culture had an enormous influence on the development of tea utensil manufacturing methods. The significance of this study is that these findings can be used as basic data to provide food culture insights into Koryo celadon tea utensils.

MEAN DISTANCE OF BROWNIAN MOTION ON A RIEMANNIAN MANIFOLD

  • Kim, Yoon-Tae;Park, Hyun-Suk
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.05a
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    • pp.45-48
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    • 2002
  • Consider the mean distance of Brownian motion on Riemannian manifolds. We obtain the first three terms of the asymptotic expansion of the mean distance by means of Stochastic Differential Equation(SDE) for Brownian motion on Riemannian manifold. This method proves to be much simpler for further expansion than the methods developed by Liao and Zheng(1995). Our expansion gives the same characterizations as the mean exit time from a small geodesic ball with regard to Euclidean space and the rank 1 symmetric spaces.

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ON GENERALIZED ZERO-DIFFERENCE BALANCED FUNCTIONS

  • Jiang, Lin;Liao, Qunying
    • Communications of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.41-52
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    • 2016
  • In the present paper, by generalizing the definition of the zero-difference balanced (ZDB) function to be the G-ZDB function, several classes of G-ZDB functions are constructed based on properties of cyclotomic numbers. Furthermore, some special constant composition codes are obtained directly from G-ZDB functions.