• Title/Summary/Keyword: statistics department

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Utilizing Order Statistics in Density Estimation

  • Kim, W.C.;Park, B.U.
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.227-230
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    • 1995
  • In this paper, we discuss simple ways of implementing non-basic kernel density estimators which typically ceed extra pilot estimation. The methods utilize order statistics at the pilot estimation stages. We focus mainly on bariable lacation and scale kernel density estimator (Jones, Hu and McKay, 1994), but the same idea can be applied to other methods too.

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Simultaneous Unit Roots Tests for Both Regular and Seasonal Unit Roots

  • Sinsup Cho;Jeong Hyeong Lee;Young Jin Park;Heon Jin Park
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.663-676
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    • 1997
  • We obtain the simultaneous unit roots test statistics for both regular and seasonal unit roots in a time series with possible seasonal deterministic trends. The limiting distributions of the proposed test statistics are derived and empirical percentiles of the test statistics are tabulated for some seasonal periods. The power and size of the test statistics are examined for finite samples through a Monte Carlo simulation and Compared with those of the Lagrange multiplier test.

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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.

BOOTSTRAPPING GENERALIZED LINEAR MODELS WITH RANDOM REGRESSORS

  • Lee, Kee-Won;Kim, Choong-Rak;Sohn, Keon-Tae;Jeong, Kwang-Mo
    • Journal of the Korean Statistical Society
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    • v.21 no.1
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    • pp.70-79
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    • 1992
  • The generalized linear models with random regrssors case are studied for bootstrapping. Only the natural link functions are considered. It is shown that the bootstrap approximation to the distribution of the maximum likelihood estimators is valid for almost all sample sequences. A slight extension of this model is also considered.

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Testing for A Change Point by Model Selection Tools in Linear Regression Models

  • Yoon, Yong-Hwa;Kim, Jong-Tae;Cho, Kil-Ho;Shin, Kyung-A
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.655-665
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    • 2000
  • Several information criterions, Schwarz information criterion (SIC), Akaike information criterion (AIC), and the modified Akaike information criterion ($AIC_c$), are proposed to locate a change point in the multiple linear regression model. These methods are applied to a stock Exchange data set and compared to the results.

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DIRECTIONAL LOG-DENSITY ESTIMATION

  • Huh, Jib;Kim, Peter T.;Koo, Ja-Yong;Park, Jin-Ho
    • Journal of the Korean Statistical Society
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    • v.33 no.3
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    • pp.255-269
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    • 2004
  • This paper develops log-density estimation for directional data. The methodology is to use expansions with respect to spherical harmonics followed by estimating the unknown parameters by maximum likelihood. Minimax rates of convergence in terms of the Kullback-Leibler information divergence are obtained.

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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Bayes Computations for the Reliability in a Bivariate Exponential Model

  • In Suk Lee;Jang Sik Cho;Sang Gil Kang;Jeong Hwan Ko
    • Communications for Statistical Applications and Methods
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    • v.5 no.1
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    • pp.145-153
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    • 1998
  • In this paper, a hierarchical Bayesian analysis of a bivariate exponential model is discussed using Gibbs sampler. Parameters and reliability estimators are obtained. A numerical study is provided.

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