• 한국지구과학회지
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• 제35권1호
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• pp.69-87
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• 2014

이 논문에서는 구성 자료의 지구통계학적 시뮬레이션을 위해 다중 자료 변환 기반 조건부 시뮬레이션 틀을 제안하였다. 우선 일반적인 통계 기법의 적용이 가능하도록 구성 자료에 로그비 변환을 적용하였다. 다음 변환들로는 최소/최대 자기상관 인자 변환과 지시자 변환을 순차적으로 적용하였다. 독립적인 새로운 변수의 생성을 위해 최소/최대 자기상관 인자 변환을 적용하였으며, 적용 결과 개별 변수들의 독립적인 시뮬레이션이 가능해진다. 그리고 다중 가우시안 확률 모델을 따르지 않는 변수들의 비모수적 조건부 누적 확률 분포 모델링을 위해 지시자 변환을 적용하였다. 최종적으로는 적용한 변환 방법들의 역순으로 역 변환을 적용하였다. 간석지 표층 퇴적물 성분 자료를 대상으로 제안 시뮬레이션 기법의 적용 가능성을 예시하였다. 모든 시뮬레이션 결과들은 구성 자료의 제한 조건을 만족하면서 샘플 자료의 통계 특성을 잘 반영하였다. 구성 자료의 다수의 시뮬레이션 결과들을 이용한 표층 퇴적물 분류를 통해 기존 크리깅에서는 얻을 수 없는 분류 결과의 확률론적 평가가 가능하였다. 따라서 제안 시뮬레이션 틀은 다양한 구성 자료의 지구통계학적 시뮬레이션에 효과적으로 이용될 수 있을 것으로 기대된다.

• 대한수학회보
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• 제34권3호
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• pp.483-489
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• 1997

The $W^\phi$-spaces generalizing the $W^p$-spaces due to Pathak and Upadhyay are investigated and the Fourier transformations on these spaces are continuous.

• 대한수학회보
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• 제41권3호
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• pp.427-434
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• 2004

The purpose of the paper is to correct erroneous proofs of two theorems of Walters ([1]) about the pressure of continuous transformations.

• 대한수학회논문집
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• 제21권4호
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• pp.729-737
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• 2006

We study Ribaucour transformations on nondegenerate local isometric immersions of Riemannian space forms into Lorentzian space forms with flat normal bundles. They can be explained by dressing actions on the solution space of Lorentzian Grassmannian systems.

• 대한수학회지
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• 제45권6호
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• pp.1577-1590
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• 2008

We study Ribaucour transformations on nondegenerate local isometric immersions of Lorentzian space forms into Lorentzian space forms with the same sectional curvatures which have flat normal bundles. They can be associated to dressing actions on the solution space of Lorentzian Grassmannian systems.

• 한국윤활학회:학술대회논문집
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• 한국윤활학회 1998년도 제27회 춘계학술대회
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• pp.3-43
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• 1998

Technical and business transformations are reshaping the business of Diesel engine builders, Diesel lubricant marketers and additive companies. Key issues facing engine builders and end users under these transformations include: -Emission regulations -Vehicle operating costs -Evolving business environments With these challenges come opportunities. For equipment builders and lubricant marketers, these include: -Lubricants meeting global performance requirements -High value lubricant applications -Profitable new businesses

• 대한수학회논문집
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• 제33권4호
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• pp.1239-1248
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• 2018

Recently, many authors have obtained several hypergeometric identities involving hypergeometric functions of one and multi-variables such as the Appell's functions and Horn's functions. In this paper, we obtain several new transformations suitably by applying the fractional calculus operator to these hypergeometric identities, which was introduced recently by Tremblay.

• 대한수학회논문집
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• 제13권4호
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• pp.817-823
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• 1998

In the present paper, we study conformal and projective Killing vector fields and infinitesimal Q-transformations on a quaternionic Kahlerian manifold, and prove that an infinitesimal conformal or projective automorphism in a compact quaternionic Kahlerian manifold is necessarily infinitesimal automorphism.

• 한국농공학회지
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• 제34권4호
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• pp.39-47
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• 1992

Derivation of reasonable design low flows was attempted by comparative analysis of design low flows was derived by Power and SMEMAX transformations for the normalizations of skewed distribution and by Type m extremal distribution presented in the first report of this study with annual low flows in the five watersheds of main river basins in Korea. The results were anslyzed and summarized as follows. 1.Basic statistics of annual low flows for the selected watersheds were calculated by using Power and SMEMAX transformations. 2.Power thansformation has found to be the best for the normalization of skewed distribution among others including log, square root and SMEMAX transformations. 3.Design low flows for the selected watersheds were derived by the Power and SMEMAX transformations. 4.Judging by the relative suitabilities of the Type III extremal distribution, Power and SMEMAX transformation, it was found that design low flows of all methods are closer to the observed data within 10 years of the return period and those of Power transformation can be acknowledzed as a reasonable one among others from the viewpoint of the median between values of Type m extremal distribution and SMEMAX transformation in addition to closing the observed than others over 10 years of the return period.

• Communications for Statistical Applications and Methods
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• 제31권3호
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• pp.349-363
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• 2024

Compositional data refers to data where the sum of the values of the components is a constant, hence the sample space is defined as a simplex making it impossible to apply statistical methods developed in the usual Euclidean vector space. A natural approach to overcome this restriction is to consider an appropriate transformation which moves the sample space onto the Euclidean space, and log-ratio typed transformations, such as the additive log-ratio (ALR), the centered log-ratio (CLR) and the isometric log-ratio (ILR) transformations, have been mostly conducted. However, in scenarios with sparsity, where certain components take on exact zero values, these log-ratio type transformations may not be effective. In this work, we mainly suggest an alternative transformation, that is the square-root transformation which moves the original sample space onto the directional space. We compare the square-root transformation with the log-ratio typed transformation by the simulation study and the real data example. In the real data example, we applied both types of transformations to the USG% data obtained from NBA, and used a density based clustering method, DBSCAN (density-based spatial clustering of applications with noise), to show the result.