• Language and Information
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• v.14 no.1
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• pp.145-163
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• 2010

This paper aims to propose that Benford's Law, non-uniform distribution of the leading digits in lists of numbers from many real-life sources, also appears in linguistic texts. The first digits in the frequency lists of morphemes from Sejong Morphologically Analyzed Corpora represent non-uniform distribution following Benford's Law, but showing complexity of numerical sources from complex systems like earthquakes. Benford's Law in texts is a principle reflecting regular distribution of low-frequency linguistic types, called LNRE(large number of rare events), and governing texts, corpora, or sample texts relatively independent of text sizes and the number of types. Although texts share a similar distribution pattern by Benford's Law, we can investigate non-uniform distribution slightly varied from text to text that provides useful applications to evaluate randomness of texts distribution focused on low-frequency types.

• Genomics & Informatics
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• v.4 no.2
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• pp.65-70
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• 2006

Peptide mass mapping is the matching of experimentally generated peptides masses with the predicted masses of digested proteins contained in a database. To identify proteins by matching their constituent fragment masses to the theoretical peptide masses generated from a protein database, the peptide mass fingerprinting technique is used for the protein identification. Thus, it is important to know the theoretical mass distribution of the database. However, few researches have reported the peptide mass distribution of a database. We analyzed the peptide mass distribution of non-redundant protein sequence database in the NCBI after digestion with 15 different types of enzymes. In order to characterize the peptide mass distribution with different digestion enzymes, a power law distribution (Zipfs law) was applied to the distribution. After constructing simulated digestion of a protein database, rank-frequency plot of peptide fragments was applied to generalize a Zipfs law curve for all enzymes. As a result, our data appear to fit Zipfs law with statistically significant parameter values.

• Journal of the Korean Society for Library and Information Science
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• v.24
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• pp.53-71
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• 1993

In 1926, Alfred Lotka examined the frequency distribution of scientific productivity of chemists and physicists. He observed that the number of persons making n contributions is about $1/ n^2$ of those making one and the proportion of all contributions that make a single contribution is about $60\%$. Investigator studing the applicability of 'Lotka's Law' to Mathematics and to Mechanical engineers have fitted Lotka's Law and concluded that the law applied to these subject fields.

• Journal of the Korean Mathematical Society
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• v.44 no.4
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• pp.835-844
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• 2007

This paper considers the problem of estimating the error distribution function in nonparametric regression models. Sufficient conditions are given under which the kernel estimator of the error distribution function based on nonparametric residuals satisfies the law of iterated logarithm.

• Journal of Korean Society of Water and Wastewater
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• v.20 no.2
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• pp.295-302
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• 2006

Over the past decades, a flocculation and/or sedimentation process have been adopted to remove pollutants from CSOs. It has been learned that major factors affecting settlement of pollutants are the particle size distribution, their settling velocities and their specific gravity. It is, therefore, a good idea to analyze the particle size distribution and settleability of CSOs pollutants in order to develop details in designing a process. Discussed in this study are pollutant characteristics of CSOs such as particle size distribution and settleability of pollutants. The power law function is applied and is found to be an effective and reliable index for expressing the particle size distribution of pollutants in CSOs. Based on the regression analysis it is observed that the derived constants of curves representing settling velocity profile are proportional to the initial concentration of particles and to the ${\beta}$-values of power law distributions.

• Journal of Korea Water Resources Association
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• v.49 no.6
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• pp.495-507
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• 2016

This study aims at hydrologically demonstrating the universality of power law distribution by analyzing runoff aggregation structures of river basins. Power law distribution is fitted to cumulative drainage area of basins of interest by maximum likelihood, which results in the power law exponents. And then those exponents are assessed in terms of the shape of catchment plan-form. As a main result all of the basins in this study have similar distributions of catchment area. The exponents from this study tend to be higher than the ones from previous researches reflecting self-similar property of the catchment plan-forms of interest. Further study is required about the universality of power law distribution by means of the more realistic flow routing scheme within the framework of DEM.

• Communications for Statistical Applications and Methods
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• v.20 no.3
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• pp.185-191
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• 2013

Kiefer (1961) studied asymptotic behavior of empirical distribution using the law of the iterated logarithm. Robertson and Wright (1974a) discussed whether this type of result would hold for a maximum likelihood estimator of a stochastically ordered distribution function; however, we show that this cannot be achieved. We provide only a partial answer to this problem. The result is applicable to both estimation and testing problems under the restriction of stochastic ordering.

• Journal of the Korean Data and Information Science Society
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• v.25 no.5
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• pp.1107-1116
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• 2014

In this paper, we review recent developments in network analysis using the graph theory, and introduce ongoing research area with relevant theoretical results. In specific, we introduce basic notations in graph, and conditional and marginal approach in constructing the adjacency matrix. Also, we introduce the Marcenko-Pastur law, the Tracy-Widom law, the white Wishart distribution, and the spiked distribution. Finally, we mention the relationship between degrees and eigenvalues for the detection of hubs in a network.

• THE INTERNATIONAL COMMERCE & LAW REVIEW
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• v.37
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• pp.161-185
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• 2008

In 2006, the share of fisheries distribution in Busan amounted to 1.9 million ton, which was 41 percent of the whole country. In details, coastal fishery 334 thousand ton(14% of the whole country), deep sea fishery 452 thousand ton(82%), import fishery 964 thousand ton(70%), export fishery 157 thousand ton(43%) were distributed in Busan region, respectively. According to distribution share, import(50%), deep sea fishery(24%), coastal fishery(18%), export(8%) are main category of fisheries distribution in Busan. After the institutional changes in 1997, that is, from monopoly to the competitive systems are implemented, the share of sales volume through a home trust market decreased gradually since 2000. Especially, the share of direct sales in farming fisheries sector amounted to 73.8 percent of total production volume, 80.7 percent of production value in 2005. Furthermore, the share of fisheries sale through e-commerce is increasing owing to the growth of IT and competitive price of its products. and the sale share of large discount store is also on the 10% more increase. Hereafter these structure changes of fisheries distribution in Busan will be more intensified. Therefore, after reflecting the change in distribution policy of Busan Fisheries, the directions of distribution policy should be established, as follows. $\cdot$ Distribution policy to prepare for increasing of non-trust market sales $\cdot$ Fisheries distribution policy to prepare for increasing of direct transaction like e-commerce $\cdot$ Distribution policy to prepare for increasing of sales ratio in large discount store $\cdot$ Distribution policy for making up sound purchasing circumstance of Fisheries $\cdot$ Distribution policy for reducing the fisheries distribution cost $\cdot$ Distribution policy to prepare for increasing of direct carrying the deep sea fisheries and import fisheries to Seoul and $Inch'{\breve{o}}n$ section $\cdot$ Distribution policy for implementing the information system for managing fisheries transaction $\cdot$ Distribution policy for advancing the export & import management of fisheries $\cdot$ Distribution policy for establishing transaction principle reflecting the peculiarity in fishery distribution(to enacting independent fishery law)

• 한국디지털정책학회:학술대회논문집
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• 2004.05a
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• pp.53-67
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• 2004

On the base of IT growth, competition between countries for preoccupation of digital content market is keen. And it is prospected that the development of digital content industry will be more rapid with the base of telecommunication infra-structure(for example internet, digital broadcasting) which is the main channel for distribution of digital content. The bill of "Act for Development of Online Digital Content Industry", has passed the national assembly jan, 2002, and "Draft Blueprint for Developing Online Digital Content Industry(2003$\sim$2005)" was made on the base on that law feb, 2003. And we can find measures for protect the digital content manufacture in the laws such as "Literary Property Law", "Trademarks Law" and "law for prevention of unfair competition". On this study we suggested three measures to make digital content industry more profitable by the method of research of related law and industry survey.