• Title/Summary/Keyword: Moments of order statistics

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Analysis on Characteristics of Variation in Flood Flow by Changing Order of Probability Weighted Moments (확률가중모멘트의 차수 변화에 따른 홍수량 변동 특성 분석)

  • Maeng, Seung-Jin;Hwang, Ju-Ha
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.5
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    • pp.1009-1019
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    • 2009
  • In this research, various characteristics of South Korea's design flood have been examined by deriving appropriate design flood, using data obtained from careful observation of actual floods occurring in selected main watersheds of the nation. 19 watersheds were selected for research in Korea. The various characteristics of annual rainfall were analyzed by using a moving average method. The frequency analysis was decided to be performed on the annual maximum flood of succeeding one year as a reference year. For the 19 watersheds, tests of basic statistics, independent, homogeneity, and outlier were calculated per period of annual maximum flood series. By performing a test using the LH-moment ratio diagram and the Kolmogorov-Smirnov (K-S) test, among applied distributions of Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Logistic (GLO) and Generalized Pareto (GPA) distribution was found to be adequate compared with other probability distributions. Parameters of GEV distribution were estimated by L, L1, L2, L3 and L4-moment method based on the change in the order of probability weighted moments. Design floods per watershed and the periods of annual maximum flood series were derived by GEV distribution. According to the result of the analysis performed by using variation rate used in this research, it has been concluded that the time for changing the design conditions to ensure the proper hydraulic structure that considers recent climate changes of the nation brought about by global warming should be around the year 2002.

The Mean-VaR Framework and the Optimal Portfolio Choice (평균-VaR 기준과 최적 포트폴리오 선택)

  • Ku, Bon-Il;Eom, Young-Ho;Choo, Youn-Wook
    • The Korean Journal of Financial Management
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    • v.26 no.1
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    • pp.165-188
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    • 2009
  • This paper has suggested the methodology for the frontier portfolios and the optimal portfolio under the mean-VaR framework, not assuming the normal distribution and considering the investor's preferences for the higher moments of return distributions. It suggested the grid and rank approach which did not need an assumption about return distributions to find the frontier portfolios. And the optimal portfolio was selected using the utility function that considered the 3rd and the 4th moments. For the application of the methodology, weekly returns of the developed countries index, the emerging market index and the KOSPI index were used. After the frontier portfolios of the mean-variance framework and the mean-VaR framework were selected, the optimal portfolios of each framework were compared. This application compared not only the difference of the standard deviation but also the difference of the utility level and the certainty equivalent expressed by weekly expected returns. In order to verify statistical significances about the differences between the mean-VaR and the mean-variance, this paper presented the statistics which were obtained by the historical simulation method using the bootstrapping. The results showed that an investor under the mean-VaR framework had a tendency to select the optimal portfolio which has bigger standard deviation, comparing to an investor under the mean-variance framework. In addition, the more risk averse an investor is, the bigger utility level and certainty equivalent he achieves under the mean-VaR framework. However, the difference between the two frameworks were not significant in statistical as well as economic criterion.

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Ego Structure in Life Process of the Aged in Korea (노년기의 의식구조에 관한 연구)

  • 유숙자
    • Journal of Korean Academy of Nursing
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    • v.10 no.2
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    • pp.95-115
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    • 1980
  • Current statistics reveal remarkable prolongation of the average longevity in this country for the past decade. Welfare of the aged is no longer sole concern of the person or/and family. but has aroused social concern on the community and national level. This study was designed to assess social, economic and emotional needs of the aged. and to identify problems they are confronting. Data were gathered through questioning 273 subjects living in Seoul from July 25, to August 31. 19 80. Frequencies and percentile scores were analysed to describe the fact. and the significance of int or-variable differences was tested by Chi-square method. Results are : 1. Majority of the subjects (male : 65.38%). (female : 62.13%)“talk about past experiences”to re-collect their past days, the difference between male and female respondents was not significant. 2. Except few who earn their pocket money (4.21%). majority were doing household errands (34.52% ) and looking after their garnd children (29.26 %). Main sources of their pocket money revealed to be their children (84.02%) and their own savings (24.64% ). Except few (15%)engaged with social activities directly or indirectly. leisure hours are spent in chatting with aged neighbors (44.81%). Highest in the rank order on the joyous moments for the aged revealed to be when the members of family living apart paying a visit (male : 37.5%, female : 63.72%)difference of male and female was significant ( P<0.05). Among female respondents. significant difference between age group was revealed (p<0.05). 3. Majority prefered sin91e houses (84.30% ). as residential environment. the suburban (36.26% ) area was the filet in the rank order : difference between age group and the educational status were not significant. Majority of respondents revealed to have their own room in the house. The first preference was given to live with their children (68.86%). Memory of the past (37.36% )revealed to be the highest in the rank order among the reasons why they dislike moving the house. 4. Majority favored current welfare benefts provided for the old age. however. the ideal way to live at their old age they responded was to live on their own savings (50.54%). 5. Majority revealed to be daunted occasionally (62.27%) by not being less active (34.16%) socially and by poor physical health(29.75%). Male and female differ in the causes of loneliness significantly (P <0.001) : retirement (37.89%) in ale and helpessness (43.05%) in female revealed the highest in the rank order. Majority talk over their feelings with aged neighbors to overcome the loneliness. 6 Majority were in favor of planting and looking after pet animal in the house. however. male and female differ in the kind significantly (p <0.001), 7. Majority think about death and dying occasionally or more (84.11% ). Many of the respondents believes in the life after life (53.49%) : female revealed to be significantly higher (p <0.01). and subjects with christian belief were significantly higher than non-christians (P<0.001). Attitude towards death and dying differs significantly between male and female (P <0. 001) and between christians ans and nonchristians (p <0.001). Highest preference was given to simple funeral (69.85%). Precious heritage that they would pass on to their descendants was onoscience and ethical value(57. 51%) : christian response as the first value was christian belief (52.38%).

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