• Title/Summary/Keyword: National statistics

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On a Nonparametric Test for Parallelism against Ordered Alternatives

  • Song, Moon Sup;Kim, Jaehee;Jean, Jong Woo;Park, Changsoon
    • Journal of Korean Society for Quality Management
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    • v.17 no.2
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    • pp.70-80
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    • 1989
  • A nonparametric test for testing the parallelism of regression lines against ordered alternatives is proposed. The proposed test statistic is based on a linear combination of robust slope estimators. It is a modified version of the Adichie's test statistics based on scores. A snail-sample Monte Carlo study shows that the proposed test is compatible with the Adichie's test.

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Comparisons between Goodness-of-Fit Tests for ametric Model via Nonparametric Fit

  • Kim, Choon-Rak;Hong, Chan-Kon;Jeong, Mee-Seon
    • Communications for Statistical Applications and Methods
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    • v.3 no.3
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    • pp.39-46
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    • 1996
  • Most of existing nonparametric test statistics are based on the residuals which are obtained by regressing the data to a parametric model. In this paper we compare power of goodness-of-fit test statistics for testing the (null)parametric model versus the (alternative) nonparametric model.

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Basic Statistics in Quantile Regression

  • Kim, Jae-Wan;Kim, Choong-Rak
    • The Korean Journal of Applied Statistics
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    • v.25 no.2
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    • pp.321-330
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    • 2012
  • In this paper we study some basic statistics in quantile regression. In particular, we investigate the residual, goodness-of-fit statistic and the effect of one or few observations on estimates of regression coefficients. In addition, we compare the proposed goodness-of-fit statistic with the statistic considered by Koenker and Machado (1999). An illustrative example based on real data sets is given to see the numerical performance of the proposed basic statistics.

Analysis of Field Test Data using Robust Linear Mixed-Effects Model (로버스트 선형혼합모형을 이용한 필드시험 데이터 분석)

  • Hong, Eun Hee;Lee, Youngjo;Ok, You Jin;Na, Myung Hwan;Noh, Maengseok;Ha, Il Do
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.361-369
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    • 2015
  • A general linear mixed-effects model is often used to analyze repeated measurement experiment data of a continuous response variable. However, a general linear mixed-effects model can give improper analysis results when simultaneously detecting heteroscedasticity and the non-normality of population distribution. To achieve a more robust estimation, we used a heavy-tailed linear mixed-effects model for a more exact and reliable analysis conclusion than a general linear mixed-effects model. We also provide reliability analysis results for further research.

Bayesian Analysis under Heavy-Tailed Priors in Finite Population Sampling

  • Kim, Dal-Ho;Lee, In-Suk;Sohn, Joong-Kweon;Cho, Jang-Sik
    • Communications for Statistical Applications and Methods
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    • v.3 no.3
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    • pp.225-233
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    • 1996
  • In this paper, we propose Bayes estimators of the finite population mean based on heavy-tailed prior distributions using scale mixtures of normals. Also, the asymptotic optimality property of the proposed Bayes estimators is proved. A numerical example is provided to illustrate the results.

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Estimation of P(X

  • Kil Ho Cho;Jang Sik Cho;Young Joon Cha;Jae Man Lee
    • Communications for Statistical Applications and Methods
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    • v.3 no.3
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    • pp.253-261
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    • 1996
  • In this paper, we derive the maximum likelihood estimator of P=P(X

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Minimum Density Power Divergence Estimator for Diffusion Parameter in Discretely Observed Diffusion Processes

  • Song, Jun-Mo;Lee, Sang-Yeol;Na, Ok-Young;Kim, Hyo-Jung
    • Communications for Statistical Applications and Methods
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    • v.14 no.2
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    • pp.267-280
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    • 2007
  • In this paper, we consider the robust estimation for diffusion processes when the sample is observed discretely. As a robust estimator, we consider the minimizing density power divergence estimator (MDPDE) proposed by Basu et al. (1998). It is shown that the MDPDE for diffusion process is weakly consistent. A simulation study demonstrates the robustness of the MDPDE.

Estimation of Density via Local Polynomial Tegression

  • Park, B. U.;Kim, W. C.;J. Huh;J. W. Jeon
    • Journal of the Korean Statistical Society
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    • v.27 no.1
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    • pp.91-100
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    • 1998
  • A method of estimating probability density using regression tools is presented here. It is based on equal-length binning and locally weighted approximate likelihood for bin counts. The method is particularly useful for densities with bounded supports, where it automatically corrects edge effects without using boundary kernels.

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