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Asymptotic Normality for Threshold-Asymmetric GARCH Processes of Non-Stationary Cases

  • Park, J.A.;Hwang, S.Y.
    • Communications for Statistical Applications and Methods
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    • 제18권4호
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    • pp.477-483
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    • 2011
  • This article is concerned with a class of threshold-asymmetric GARCH models both for stationary case and for non-stationary case. We investigate large sample properties of estimators from QML(quasi-maximum likelihood) and QL(quasilikelihood) methods. Asymptotic distributions are derived and it is interesting to note for non-stationary case that both QML and QL give asymptotic normal distributions.

An estimation of the treatment eect for the right censored data

  • Park, Hyo-Il;Kim, Ju-Sung
    • Journal of the Korean Data and Information Science Society
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    • 제22권3호
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    • pp.537-547
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    • 2011
  • In this article, we propose an estimation procedure for the treatment eect for the right censored data. We apply the least square method for deriving the estimation equation and obtain an explicit formula for an estimation. Then we consider some asymptotic properties with derivation of the asymptotic normality for the estimate. Finally we illustrate our procedure with an example and discuss some interesting aspects for the estimation procedure.

Scaling MDS for Preference Data Using Target Configuration

  • Hwang, S.Y.;Park, S.K.
    • Journal of the Korean Data and Information Science Society
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    • 제14권2호
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    • pp.237-245
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    • 2003
  • MDS(multi-dimensional scaling) for preference data is a graphical tool which usually figures out how consumers recognize, evaluate certain products. This article is mainly concerned with an optimal scaling for MDS when target configuration is available. Rotation of axis and SUR(seemingly unrelated regression) methods are employed to get a new configuration which is obtained as close to the target as we can. Methodologies developed here are also illustrated via a real data set.

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Multivariate CUSUM Charts with Correlated Observations

  • 조교영;안영선
    • Journal of the Korean Data and Information Science Society
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    • 제12권1호
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    • pp.127-133
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    • 2001
  • In this article we establish multivariate cumulative sum (CUSUM) control charts based on residual vector with correlated observations. We first find the residual vector and its expectation and variance-covariance matrix and then evaluate the average run length (ARL) of the control charts.

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IGARCH and Stochastic Volatility : Case Study

  • Hwang, S.Y.;Park, J.A.
    • Journal of the Korean Data and Information Science Society
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    • 제16권4호
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    • pp.835-841
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    • 2005
  • IGARCH and Stochastic Volatility Model(SVM, for short) have frequently provided useful approximations to the real aspects of financial time series. This article is concerned with modeling various Korean financial time series using both IGARCH and stochastic volatility models. Daily data sets with sample period ranging from 2000 and 2004 including KOSPI, KOSDAQ and won-dollar exchange rate are comparatively analyzed using IGARCH and SVM.

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VaR(Value at Risk) for Korean Financial Time Series

  • Hwang, S.Y.;Park, J.
    • Journal of the Korean Data and Information Science Society
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    • 제16권2호
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    • pp.283-288
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    • 2005
  • Value at Risk(VaR) has been proven useful in finance literature as a tool of risk management(cf. Jorion(2001)). This article is concerned with introducing VaR to various Korean financial time series. Five daily data sets with sample period ranging from 2000 and 2004 such as KOSPI, KOSPI 200, KOSDAQ, KOSDAQ 50 and won-dollar exchange rate are analyzed using GARCH modeling and in turn VaR is obtained for each data.

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IGARCH 모형과 Stochastic Volatility 모형의 비교

  • Hwang, S.Y.;Park, J.A.
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2005년도 추계학술대회
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    • pp.151-152
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    • 2005
  • IGARCH and Stochastic Volatility Model(SVM, for short) have frequently provided useful approximations to the real aspects of financial time series. This article is concerned with modeling various Korean financial time series using both IGARCH and Stochastic Volatility Models. Daily data sets with sample period ranging from 2000 and 2004 including KOSPI, KOSDAQ and won-dollar exchange rate are comparatively analyzed using IGARCH and SVM.

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The transmuted GEV distribution: properties and application

  • Otiniano, Cira E.G.;de Paiva, Bianca S.;Neto, Daniele S.B. Martins
    • Communications for Statistical Applications and Methods
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    • 제26권3호
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    • pp.239-259
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    • 2019
  • The transmuted generalized extreme value (TGEV) distribution was first introduced by Aryal and Tsokos (Nonlinear Analysis: Theory, Methods & Applications, 71, 401-407, 2009) and applied by Nascimento et al. (Hacettepe Journal of Mathematics and Statistics, 45, 1847-1864, 2016). However, they did not give explicit expressions for all the moments, tail behaviour, quantiles, survival and risk functions and order statistics. The TGEV distribution is a more flexible model than the simple GEV distribution to model extreme or rare events because the right tail of the TGEV is heavier than the GEV. In addition the TGEV distribution can adjusted various forms of asymmetry. In this article, explicit expressions for these measures of the TGEV are obtained. The tail behavior and the survival and risk functions were determined for positive gamma, the moments for nonzero gamma and the moment generating function for zero gamma. The performance of the maximum likelihood estimators (MLEs) of the TGEV parameters were tested through a series of Monte Carlo simulation experiments. In addition, the model was used to fit three real data sets related to financial returns.

Visualization and interpretation of cancer data using linked micromap plots

  • Park, Se Jin;Ahn, Jeong Yong
    • Journal of the Korean Data and Information Science Society
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    • 제25권6호
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    • pp.1531-1538
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    • 2014
  • The causes of cancer are diverse, complex, and only partially understood. Many factors including health behaviors, socioeconomic environments and geographical locations can directly damage genes or combine with existing genetic faults within cells to cause cancerous mutations. Collecting the cancer data and reporting the statistics, therefore, are important to help identify health trends and establish normal health changes in geographical areas. In this article, we analyzed cancer data and demon-strated how spatial patterns of the age-standardized rate and health indicators can be examined visually and simultaneously using linked micromap plots. As a result of data analysis, the age-standardized rate has positive correlativity with thyroid and breast cancer, but the rate has negative correlativity with smoking and drinking. In addition, the regions with high age-standardized rate are located in southwest and the areas of high population density while the standardized mortality ratio is higher in southwest and northeast where there are lots of rural areas.

Problems Occurred with Histogram and a Resolution

  • Park, Byeong Uk;Park, Hong Nae;Song, Moon Sup;Song, Jae Kee
    • 품질경영학회지
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    • 제18권2호
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    • pp.127-133
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    • 1990
  • In this article, several problems inherent in histogram estimate of unknown probability density function are discussed. Those include so called sharp comers and bin edge effect. A resolution for these problems occurred with histogram is discussed. The resulting estimate is called kernel density estimate which is most widely used by data analysts. One of the most recent and reliable data-based choices of scale factor (bandwidth) of the estimate, which has been known to be most crucial, is also discussed.

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