• Communications for Statistical Applications and Methods
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• v.6 no.3
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• pp.901-908
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• 1999

Using the Transformed Lorenz curve which is introduced by Cho et al.(1999) we propose the test statistic for testing of normality that is very important test in statistical analysis and compare the proposed test statistic with the Shapiro and Wilk's W test statistic in terms of the power of test through by Monte Carlo method.

• Journal of applied mathematics & informatics
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• v.13 no.1_2
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• pp.457-470
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• 2003

The comparison of two or more Lorenz curves of Pareto distributions of first kind under arbitrary order restriction is studied. The problem is turned out to be a statistical inference problem concerning scale parameters under order restriction. We assume that the location parameters of Palate distributions are completely unknown. In this paper the maximum likelihood estimation and likelihood ratio tests for and against order restriction are proposed.

• Korea Journal of Hospital Management
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• v.16 no.3
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• pp.1-18
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• 2011

In this study, population census(2005 & 2008) from Statistics Korea and the statistical data of the number of hospital beds by healthcare facilities classification from Ministry of Health and Welfare were used. For analyzing distribution of hospital beds, hospital beds were classified as acute care beds, long-term care beds and all hospital beds, which is including acute and long-term care beds. Regional areas, which are city(si), county(goon) for the study and district(gu) were reclassified as metropolitan city, city(si) and county(goon). Because there were 165 regional areas in 2005 and 2008, 84 and 81 areas were classified as metropolitan city and/or city and county, respectively. Gini index were calculated for hospital beds from each year, and Lorenz curves were drawn. The following summary presents the findings of this study. Compared to the year 2005 and 2008, the Gini index was 0.24472, and hospital bed numbers increased slightly by 0.80% than in 2005. In case of acute care beds, the Gini index was 0.23797(0.13%), and there was no big difference; however, the Gini index for long-term care beds was 0.41091, and there was a 30.25% decrease, which shows improvement to reduce disparities. It might result from an increase in long-term care beds up to 476.2%. For geographical equality of hospital beds, the Gini index and Lorenz curve, which can be compared the degree of inequality in the distribution of hospital beds reasonably and possibly show statistical data, should be used. Through this study, the distribution policy of hospital beds should be established.

• The Korean Journal of Applied Statistics
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• v.16 no.2
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• pp.283-291
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• 2003

The Gini index is one of the most commonly used measures of inequality of income distributions. In this paper, the Lorenz curve is estimated by arcs of two optimal circles, and a new simple method to estimate the Gini index is proposed using the law of cosines. We compare the proposed estimator with the estimator proposed by Ogwang and Rao(1996) in terms of the mean squared error(MSE) though Monte Carlo simulation in a Pareto distribution.

• Journal of the Korean Data and Information Science Society
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• v.25 no.1
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• pp.195-209
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• 2014

In this paper, we derive the estimators of the location parameter and the scale parameter in a logistic distribution based on multiply type-II censored samples by the approximate maximum likelihood estimation method. We use four modified empirical distribution function (EDF) types test for the logistic distribution based on multiply type-II censored samples using proposed approximate maximum likelihood estimators. We also propose the modified normalized sample Lorenz curve plot for the logistic distribution based on multiply type-II censored samples. For each test, Monte Carlo techniques are used to generate the critical values. The powers of these tests are also investigated under several alternative distributions.

• Journal of the Korean Institute of Rural Architecture
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• v.13 no.4
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• pp.59-66
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• 2011

This study aims to understand the degree of inequality of surveyed rural amenity resources according to resources and region in basic self governing body by estimating the Gini Coefficient and Lorenz Curve. Case Study was performed in Sunchang basic self governing body which full survey of rural amenity resources was completed. The Gini Coefficient was applied to measure the concentration of amenity resources in 11 Eup-Myun regions, Sunchang county of Jeonbuk province. The results demonstrate significantly different variation according to Eup-Myun regions and amenity variables. This result would be used as a basic data for rational rural planning based on amenity resources through identifying distributional concentration of rural amenity resources in basic self governing body.

• Journal of the Korean Data and Information Science Society
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• v.25 no.4
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• pp.903-914
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• 2014

The inverse Weibull distribution has been proposed as a model in the analysis of life testing data. Also, inverse Weibull distribution has been recently derived as a suitable model to describe degradation phenomena of mechanical components such as the dynamic components (pistons, crankshaft, etc.) of diesel engines. In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and the shape parameter in the inverse Weibull distribution under multiply type-II censoring. We also develop four modified empirical distribution function (EDF) type tests for the inverse Weibull or extreme value distribution based on multiply type-II censored samples. We also propose modified normalized sample Lorenz curve plot and new test statistic.

• Journal of the Korean Data and Information Science Society
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• v.21 no.2
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• pp.317-325
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• 2010

In this paper, we develop four modified empirical distribution function (EDF) type tests using approximate maximum likelihood estimators for the half-logistic distribution based on multiply Type-II censored samples. We also propose modified normalize sample Lorenz curve polt and new test statistics. We compare the above test statistics in the sense of the power for various censored samples. We present an example to illustrate this method.

• Journal of Korean Society of Forest Science
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• v.95 no.4
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• pp.476-483
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• 2006

This study tried to estimate the concentration indices of 15 forested national parks using Gini coefficient and Lorenz curve which can be measure the degree of inequality. The concentration indices were estimated by two parts which are yearly index for the periods of 1997-2005 and travel origin area(city or province) distribution index each national park. The empirical results were as follows: first, yearly Gini coefficients showed severe inequality. Particularly, 2004 and 2005 Gini coefficients were .453 and .446. which are intensive inequality compared with other years. Second, in travel origin area distribution each national park, Gini coefficients of Bukhansan and Kyeryungsan national park were .916 and .855 which are the great inequality compared with other national parks. The other hand, Gini coefficients of Dukyusan and Byunsanbando national parks were .508 and .628 which are the lowest inequality. The national park policy manager should find out the factors of concentration and deconcentration each year and national park and decided the visitor distribution policy which visitor size and scope for balancing the natural resources use.

• The Korean Journal of Applied Statistics
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• v.27 no.2
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• pp.249-261
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• 2014

Ever increasing "Big data" can only be effectively processed by parallel computing. Parallel computing refers to a high performance computational method that achieves effectiveness by dividing a big query into smaller subtasks and aggregating results from subtasks to provide an output. However, it is well-known that parallel computing does not achieve scalability which means that performance is improved linearly by adding more computers because it requires a very careful assignment of tasks to each node and collecting results in a timely manner. Hadoop is one of the most successful platforms to attain scalability. In this paper, we propose a measurement for Hadoop optimization by utilizing a Lorenz curve which is a proxy for the inequality of hardware resources. Our proposed index takes into account the intrinsic overhead of Hadoop systems such as CPU, disk I/O and network. Therefore, it also indicates that a given Hadoop can be improved explicitly and in what capacity. Our proposed method is illustrated with experimental data and substantiated by Monte Carlo simulations.