• Title/Summary/Keyword: Empirical Statistics

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Power Analysis for Normality Plots (정규성 그래프의 검정력 비교)

  • Lee, Jae-Young;Rhee, Seong-Won
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.2
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    • pp.429-436
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    • 1999
  • We suggest test statistics for normality using Q-Q plot and P-P plot and obtain empirical quantities of these statistics. Also the power comparison with Shapiro-Wilk's W is conducted by Monte Carlo study.

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Tests Based on Skewness and Kurtosis for Multivariate Normality

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.22 no.4
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    • pp.361-375
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    • 2015
  • A measure of skewness and kurtosis is proposed to test multivariate normality. It is based on an empirical standardization using the scaled residuals of the observations. First, we consider the statistics that take the skewness or the kurtosis for each coordinate of the scaled residuals. The null distributions of the statistics converge very slowly to the asymptotic distributions; therefore, we apply a transformation of the skewness or the kurtosis to univariate normality for each coordinate. Size and power are investigated through simulation; consequently, the null distributions of the statistics from the transformed ones are quite well approximated to asymptotic distributions. A simulation study also shows that the combined statistics of skewness and kurtosis have moderate sensitivity of all alternatives under study, and they might be candidates for an omnibus test.

A Parametric Empirical Bayesian Method for Multiple Comparisons

  • Kim, Woo-Chul;Hwang, Hyung-Tae
    • Journal of the Korean Statistical Society
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    • v.20 no.1
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    • pp.44-56
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    • 1991
  • For all pairwise comparisons of treatments, Bayesian simultaneous confidence intervals are proposed and studied. First Bayesian solutions are obtained for a fixed prior, and then prior parameters are estimated by a parametric empirical Bayesian method. The nominal confidence level is shown to be controlled asymptotically. An extension to the unbalanced design is also considered.

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Iterative Support Vector Quantile Regression for Censored Data

  • Shim, Joo-Yong;Hong, Dug-Hun;Kim, Dal-Ho;Hwang, Chang-Ha
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.195-203
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    • 2007
  • In this paper we propose support vector quantile regression (SVQR) for randomly right censored data. The proposed procedure basically utilizes iterative method based on the empirical distribution functions of the censored times and the sample quantiles of the observed variables, and applies support vector regression for the estimation of the quantile function. Experimental results we then presented to indicate the performance of the proposed procedure.

A Study on the Posterior Density under the Bayes-empirical Bayes Models

  • Sohn, Joong-K.Sohn;Kim, Heon-Joo-Kim
    • Communications for Statistical Applications and Methods
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    • v.3 no.3
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    • pp.215-223
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    • 1996
  • By using Tukey's generalized lambda distribution, appoximate posterior density is derived under the Bayes-empirical Bayes model. The sensitivity of posterior distribution to the hyperprior distribution is examined by using Tukey's generalized lambda distriburion which approximate many well-knmown distributions. Based upon Monte Varlo simulation studies it can be said that posterior distribution is sensitive to the cariance of the prior distribution and to the symmetry of the hyperprior distribution. Also posterior distribution is approximately obtained by using the following methods : Lindley method, Laplace method and Gibbs sampler method.

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An Empirical Comparison of Ratio and PPS Strategies

  • Sahoo, L.N.;Dalabehera, M.
    • Journal of the Korean Statistical Society
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    • v.31 no.2
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    • pp.143-152
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    • 2002
  • In an effort to make a right choice among ratio estimation strategies and PPS sampling strategies, we conduct an empirical investigation of the relative performances of three ratio estimation strategies and four PPS estimation strategies using a set of 12 natural populations. The quality of a strategy is measured in the traditional way, namely with the consideration of efficiency, achieved coverage rate of the nominal 99% confidence interval and approach to normality (asymmetry).

Empirical Bayes Estimation on Sampling Inspection by Variables (계량형 샘플링 검사에서의 경험적 베이즈 추정)

  • Shin, Min-Woong;Shin, Key-II
    • Journal of Korean Society for Quality Management
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    • v.23 no.3
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    • pp.45-56
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    • 1995
  • The method of lot by lot quality protection for sampling inspection by variables is widely used in quality control. In case of sampling inspection being done repeatedly, one can use the information from the previous sampling inspection to improve current estimates. This article shows that empirical Bayes estimator is superior to the usual sample mean in repeated sampling inspection by variables.

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On scaled cumulative residual Kullback-Leibler information

  • Hwang, Insung;Park, Sangun
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1497-1501
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    • 2013
  • Cumulative residual Kullback-Leibler (CRKL) information is well defined on the empirical distribution function (EDF) and allows us to construct a EDF-based goodness of t test statistic. However, we need to consider a scaled CRKL because CRKL is not scale invariant. In this paper, we consider several criterions for estimating the scale parameter in the scale CRKL and compare the performances of the estimated CRKL in terms of both power and unbiasedness.

Non-Conservatism of Bonferroni-Adjusted Test

  • Jeon, Cyeong-Bae;Lee, Sung-Duck
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.219-227
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    • 2001
  • Another approach (multi-parameter measurement method) of interlaboratory studies of test methods is presented. When the unrestricted normal likelihood for the fixed latent variable model is unbounded, we propose a me쇙 of restricting the parameter space by formulating realistic alternative hypothesis under which the likelihood is bounded. A simulation study verified the claim of conservatism of level of significance based on assumptions about central chi-square distributed test statistics and on Bonferroni approximations. We showed a randomization approach that furnished empirical significance levels would be better than a Bonferroni adjustment.

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An Empirical Study on Explosive Volatility Test with Possibly Nonstationary GARCH(1, 1) Models

  • Lee, Sangyeol;Noh, Jungsik
    • Communications for Statistical Applications and Methods
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    • v.20 no.3
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    • pp.207-215
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    • 2013
  • In this paper, we implement an empirical study to test whether the time series of daily returns in stock and Won/USD exchange markets is strictly stationary or explosive. The results indicate that only a few series show nonstationary volatility when dramatic events erupted; in addition, this nonstationary behavior occurs more often in the Won/USD exchange market than in the stock market.