• 대한수학회보
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• 제49권5호
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• pp.1041-1055
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• 2012

The parameter lower (upper) distribution set corresponds to the cylindrical lower or upper local dimension set for a self-similarmeasure on a self-similar set satisfying the open set condition.

• 충청수학회지
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• 제21권2호
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• pp.157-163
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• 2008

We study essentially disjoint one dimensionally indexed classes whose members are distribution sets of a self-similar Cantor set. The Hausdorff dimension of the union of distribution sets in a same class does not increases the Hausdorff dimension of the characteristic distribution set in the class. Further we study the Hausdorff dimension of some uncountable union of distribution sets.

• 대한수학회논문집
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• 제30권3호
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• pp.221-226
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• 2015

The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similarmeasure which is derived from the self-similar measure and the self-similar set.

• 대한수학회논문집
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• 제22권4호
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• pp.547-552
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• 2007

The unit interval is not homeomorphic to a self-similar Cantor set in which we studied the dimensions of distribution subsets. However we show that similar results regarding dimensions of the distribution subsets also hold for the unit interval since the distribution subsets have similar structures with those in a self-similar Cantor set.

• Journal of applied mathematics & informatics
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• 제26권3_4호
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• pp.733-738
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• 2008

Using an information of dimensions of divergence points, we give full information of dimensions of the completely decomposed class of the lower(upper) distribution sets of a self-similar Cantor set. Further using a relationship between the distribution sets and the subsets generated by the lower(upper) local dimensions of a self-similar measure, we give full information of dimensions of the subsets by the local dimensions.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제14권1호
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• pp.1-5
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• 2007

We study the topological magnitude of a special subset from the distribution subsets in a self-similar Cantor set. The special subset whose every element has no accumulation point of a frequency sequence as some number related to the similarity dimension of the self-similar Cantor set is of the first category in the self-similar Cantor set.

• 융합보안논문지
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• 제20권4호
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• pp.71-80
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• 2020

사이버전 훈련 시스템에 현실감 있는 트래픽을 제공하기 위해서는 사전에 트래픽 유통계획 작성과 정상/위협 데이터셋을 이용한 훈련데이터셋 생성이 필요하다. 본 논문은 사이버전 훈련 시스템에 실제 환경과 같은 배경 트래픽을 제공하기 위한 트래픽 유통계획 저작과 훈련데이터셋을 생성하는 방법의 설계와 구현 결과를 제시한다. 트래픽 유통계획은 트래픽을 유통할 훈련 환경의 네트워크 토폴로지와 실제 및 모의환경에서 수집한 트래픽 속성 정보를 이용하여 저작하는 방법을 제안한다. 트래픽 유통계획에 따라 훈련데이터셋을 생성하는 방법은 단위트래픽을 이용하는 방법과 프로토콜의 비율을 이용하는 혼합트래픽 양상 방법을 제안한다. 구현한 도구를 이용하여 트래픽 유통계획을 저작하고, 유통계획에 따른 훈련데이터셋 생성결과를 확인하였다.

• Communications for Statistical Applications and Methods
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• 제23권2호
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• pp.119-129
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• 2016

A new sampling method is introduced based on the idea of a ranked set sampling scheme in which taken samples in each set are dependent on previous ones. Some theoretical results are presented and distribution-free confidence intervals are derived for the quantiles of any continuous population. It is shown numerically that the proposed sampling scheme may lead to 95% confidence intervals (especially for extreme quantiles) that cannot be found based on the ordinary ranked set sampling scheme presented by Chen (2000) and Balakrishnan and Li (2006). Optimality aspects of this scheme are investigated for both coverage probability and minimum expected length criteria. A real data set is also used to illustrate the proposed procedure. Conclusions are eventually stated.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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• pp.1-3
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• 2001

In this paper, we define the convergence in measure and convergence in distribution for set-valued Choquet integrals. Using there definitions, we discuss convergence theorems for set-valued Choquet integrals.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제11권1호
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• pp.51-61
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• 2004

We find an easier formula to compute Hausdorff and packing dimensions of a subset composing a spectral class by local dimension of a self-similar measure on a self-similar Cantor set than that of Olsen. While we cannot apply this formula to computing the dimensions of a subset composing a spectral class by local dimension of a quasi-self-similar measure on a self-similar set on the way to a perturbed Cantor set, we have a set theoretical relationship between some distribution sets. Finally we compare the behaviour of a quasi-self-similar measure on a self-similar Cantor set with that on a self-similar set on the way to a perturbed Cantor set.