• Title/Summary/Keyword: weighted U-empirical process

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CONVERGENCE OF WEIGHTED U-EMPIRICAL PROCESSES

  • Park, Hyo-Il;Na, Jong-Hwa
    • Journal of the Korean Statistical Society
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    • v.33 no.4
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    • pp.353-365
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    • 2004
  • In this paper, we define the weighted U-empirical process for simple linear model and show the weak convergence to a Gaussian process under some conditions. Then we illustrate the usage of our result with examples. In the appendix, we derive the variance of the weighted U-empirical distribution function.

Spatial Data Analysis for the U.S. Regional Income Convergence,1969-1999: A Critical Appraisal of $\beta$-convergence (미국 소득분포의 지역적 수렴에 대한 공간자료 분석(1969∼1999년) - 베타-수렴에 대한 비판적 검토 -)

  • Sang-Il Lee
    • Journal of the Korean Geographical Society
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    • v.39 no.2
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    • pp.212-228
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    • 2004
  • This paper is concerned with an important aspect of regional income convergence, ${\beta}$-convergence, which refers to the negative relationship between initial income levels and income growth rates of regions over a period of time. The common research framework on ${\beta}$-convergence which is based on OLS regression models has two drawbacks. First, it ignores spatially autocorrelated residuals. Second, it does not provide any way of exploring spatial heterogeneity across regions in terms of ${\beta}$-convergence. Given that empirical studies on ${\beta}$-convergence need to be edified by spatial data analysis, this paper aims to: (1) provide a critical review of empirical studies on ${\beta}$-convergence from a spatial perspective; (2) investigate spatio-temporal income dynamics across the U.S. labor market areas for the last 30 years (1969-1999) by fitting spatial regression models and applying bivariate ESDA techniques. The major findings are as follows. First, the hypothesis of ${\beta}$-convergence was only partially evidenced, and the trend substantively varied across sub-periods. Second, a SAR model indicated that ${\beta}$-coefficient for the entire period was not significant at the 99% confidence level, which may lead to a conclusion that there is no statistical evidence of regional income convergence in the US over the last three decades. Third, the results from bivariate ESDA techniques and a GWR model report that there was a substantive level of spatial heterogeneity in the catch-up process, and suggested possible spatial regimes. It was also observed that the sub-periods showed a substantial level of spatio-temporal heterogeneity in ${\beta}$-convergence: the catch-up scenario in a spatial sense was least pronounced during the 1980s.

International Comparison of Retail Banking in Korea, U.K, and Spain - Based on Basel II and rocyclicality - (한국, 영국, 스페인의 소매금융 국제비교 - 바젤 II와 경기순응성을 중심으로 -)

  • Cheong, Kiwoong
    • International Area Studies Review
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    • v.12 no.3
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    • pp.217-239
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    • 2008
  • The purpose of this paper examines the way the potential for increased procyclicality may arise in Korea according to the introduction of Basel II based on the empirical results of U.K. and Spain. Because of the limited retail banking data, the correlations between risk-weighted assets corresponding to the denominator of the capital ratio and procyclicality, and capital ratio and the procyclicality are analyzed in Korea. As a result, there is a high possibility that the procyclicality may occur in Korea. However, there are limitations in judging the existence of the procyclicality for the capital in Korea only based on those correlations. In the future, in case more of retail banking data are accumulated, the procyclicality in Korea should be examined based on the systematic model like the cases in England and Spain. Lastly, the policy implications are derived based on the calculation process of the regulatory capital(Pillar I), the process of the Financial Authorities(Pillar II), and the market discipline(Pillar III).