• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.485-498
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• 2013

In this paper, the Schur convexity is generalized to Schur $f$-convexity, which contains the Schur geometrical convexity, harmonic convexity and so on. When $f$ : ${\mathbb{R}}_+{\rightarrow}{\mathbb{R}}$ is defined as $f(x)=(x^m-1)/m$ if $m{\neq}0$ and $f(x)$ = ln $x$ if $m=0$, the necessary and sufficient conditions for $f$-convexity (is called Schur $m$-power convexity) of Gini means are given, which generalize and unify certain known results.

• The Journal of Fisheries Business Administration
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• v.39 no.3
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• pp.25-47
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• 2008

The Fishing Communities (so-called Uchongae) in Korea was legally established in 1962. It has been gradually expanded by quantity, and we have total 1,969 communities in 2006. The major establishment purpose of Uchongae was put 2 functions. The first function is to make up the double industry structure in coastal region, and second function is to make economical condition for Uchongae. Nevertheless the Fishing Communities System in Korea was not successfully developed after first beginning. The Income gap have become heavily between fishing area and non - fishing area, including agricultural area. The income gap has been due to rapid industrialization and urbanization in Korea. And the income gap even have become heavily among Uchongaes. In this paper, It have been researched the degree of Income inequality among Uchongaes in Korea during 1986-2006. The income inequality degree was analyzed by Gini coefficient and Mean Log Deviation (MLD) using Lorenz Curve. According to analysis result, the Gini coefficient of Uchongaes in Korea has been about 2-times high from 0.0847 to 0.1770 during 20 years. And the MLD has been 5.4 times from 0.0125 to 0.0679 during same periods. This means to more wide the general Income Inequality among the Uchongaes in Korea. Especially, It means to more wide the gap of high ranking Uchongaes and low ranking Uchongaes that MLD index multiplier has been more high.

• Journal of the Korean Mathematical Society
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• v.60 no.3
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• pp.503-520
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• 2023

In this paper, using the theory of majorization, we discuss the Schur m power convexity for L-conjugate means of n variables and the Schur convexity for weighted L-conjugate means of n variables. As applications, we get several inequalities of general mean satisfying Schur convexity, and a few comparative inequalities about n variables Gini mean are established.

• Journal of the Korean BIBLIA Society for library and Information Science
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• v.31 no.1
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• pp.237-255
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• 2020

Pareto principle states that, for many events, roughly 80% of the effects come from 20% of the causes. This study clarified if there is Pareto principle in Korean universities' academic information resource sharing network and calculates the Gini efficient about inequality in sharing academic resources. As a result, top 20% libraries led 80% of performance and inequality degree showed 0.8 as very serious condition. Relative Gini efficient which is recalculated considering scale of each libraries stay 0.7 that is adjusted slightly down. It means that such phenomenon is not caused by the difference of each universities scale with high contribution of big university and low contribution of small university. And in comparison of inequality between university's types, inequality between community colleges and private universities is more serious than four-year-course college and national university respectfully. Finally, as a result of visualizing the distribution of participating libraries, there were libraries with overwhelming contributions, and libraries with small but relatively high contribution levels were also distributed.

• Journal of the Korean Home Economics Association
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• v.35 no.5
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• pp.1.1-15
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• 1997

The purposes of this study were to identify the household's financial status by life cycle stage and no analyze contributing factors to financial planning for retirement preparation among Korean marred couples. For these purpose, 2074 married couples those being under 55 and having either single earner or dual earners were selected, and total sample was divided into three stages; young-aged(＜35), middle-aged(35-44) & old-aged(45-54). Statistics were frequencies, means, percentile, and logistic analysis. The results were as follows. First, old-aged had higher level of total income, total expenditure and total assets than either young-aged or middle-aged. In addition, households those holding private pensions were likely to have higher total income, total expenditure and total assets than those owning no private pension. while middle-aged had a highest total debts. Second, gini coefficients of total income and total expenditure between three aged groups were similar, but old-aged had the highest gini coefficient of total assets and total debts. In particular, gini coefficients of total assets and total debts of households those having no private pension were greater than those holding private pensions. third, contributing factors to private pension ownership of young-aged were family & household-related factor and financial factor, middle-aged's factors were household head's characteristics and financial factor. Also, old-aged's factors were household head's characteristics, family & household-related factor and financial factor.

• KIEAE Journal
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• v.17 no.2
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• pp.45-51
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• 2017

Purpose: Housing is the most essential element for well-being in a society. The government would continuously supply decent housings to make a better living condition for people. As various housing policies have been implemented into practice, the effectiveness of policies need to be assessed and improved to rearrange the financial resources. The indicators, such as quality of life, housing supply amount and etc, could be used to estimate housing policy to provide a guidance for a new policy direction. Though various indicators are utilized to assess the policy effect, most of the items are depend upon a relativeness in aspect to assessment goal, items, time and its weighting. Therefore, it needs an absolute indicator to compare the policy effectiveness regardless of time elapse or items. In this paper, it developed the housing welfare indicator to assess the level of living condition, utilizing the Gini coefficient which is used for explanation on income distribution. Method: To suggest an inequity indicator, this paper used Gini coefficient to explain the level of living condition which is used on economics to provide the level of income distribution. Data are collected through the Korea Housing Survey by Ministry of Land, Infrastructure and Transport between 2006 and 2014. Indicators of living condition focused on the development of the estimation model using the frequency of room use. Result: Gini coefficient between 2004 and 2014 is about 1.5 score except in year 2013, and the trend of score has been decreased slowly which means the inequality gradually improved. In this result, it implies the living condition and distribution level would be improved than before.

• Communications for Statistical Applications and Methods
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• v.26 no.1
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• pp.57-67
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• 2019

Income distribution is a major concern in economic theory. In regional economics, it is often of interest to compare income distributions in different regions. Traditional methods often compare the income inequality of different regions by assuming parametric forms of the income distributions, or using summary statistics like the Gini coefficient. In this paper, we propose a nonparametric procedure to test for heterogeneity in income distributions among different regions, and a K-means clustering procedure for clustering income distributions based on energy distance. In simulation studies, it is shown that the energy distance based method has competitive results with other common methods in hypothesis testing, and the energy distance based clustering method performs well in the clustering problem. The proposed approaches are applied in analyzing data from China Health and Nutrition Survey 2011. The results indicate that there are significant differences among income distributions of the 12 provinces in the dataset. After applying a 4-means clustering algorithm, we obtained the clustering results of the income distributions in the 12 provinces.

• Bulletin of the Korean Mathematical Society
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• v.49 no.1
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• pp.33-47
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• 2012

In this paper, the log-convexity of another class one-parameter mean is investigated. As applications, some new upper and lower bounds of logarithmic mean, new estimations for identric mean and new inequalities for power-exponential mean and exponential-geometric mean are first given.

• The Journal of Asian Finance, Economics and Business
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• v.8 no.2
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• pp.635-641
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• 2021

This article analyzes the factors affecting income inequality in Vietnam, with data from 63 provinces and cities collected from the Vietnam Household Living Standards Survey of the General Statistics Office of Vietnam from 2010 to 2018. The article will firstly build a research model to identify factors affecting income inequality. Then, it uses the Generalized Method of Moments (GMM) method to evaluate the effect of factors on income inequality in Vietnam. The empirical estimate result shows that, in the period from 2010 to 2018, the factors such as the proportion of the working employees, income per capita, and inflation have positive effects on the Gini coefficient. That is, when these factors increase, there will be negative effects on improving income inequality in Vietnam. Conversely, when the factors such as the proportion of the literate adults, the proportion of the urban population, and population density increase they will have a positive impact on improving income inequality in Vietnam during this period. The estimated coefficients satisfied the sign expectation except the proportion of the literate adults. It means that, in Vietnam, the increase and more equilibrium in educational attainment balance the distribution of income and bring an improvement in income inequality.

• International Journal of Highway Engineering
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• v.13 no.3
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• pp.147-156
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• 2011

Since the urbanization process has been taking place, negative outcomes such as environmental pollution and traffic congestion have produced as well. Reflecting the phenomenon, our study assumed that physical structure of urban form were implicit in relation to both economic performance and cost. It can be interpreted that as the urban space has been growing bigger, economic performances such as regional product output, economy of scale and the effect of agglomeration economies are increased. On the contrary, the negative effects such as environmental pollution and traffic congestion were incurred as economic loss and expenses. It means that even though economic performance can help increase regional product output, we should consider the loss on economic expenses which are paid for social problems such as environmental pollution and traffic congestion, which are caused by urbanization. Therefore, this study aims to statistically validate the relationship between traffic congestion as the most representative economy costs and physical characteristics of urban in a large city such as Seoul and to suggest its implications. As a result of model development for empirical analysis, GRDP(0.604), the population(0.582), employment GINI coefficients(0.296), population GINI coefficients(0.254) in order led to congestion cost. We can come to the conclusion that in case of scale factor such as the population, if the population tends to concentrate, urban becomes more crowded and that if GINI coefficients (the population, employment) which are variable on inequality according to region have the disparity with surrounding areas, congestion cost is caused a lot on account of movement related with employment. In addition, this phenomenon was caused if both the population and employment were geographically biased on one side.