• 응용통계연구
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• 제23권2호
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• pp.285-293
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• 2010

반응표면실험계획들을 평가하기 위한 방법으로서 전형적인 방법이 알파벳최적화이다. 그러나 이러한 알파벳최적화(D-, A-, G-, V-최적화 등)는 하나의 수치이므로 그 유용성에도 불구하고 반응표면실험계획들이 갖는 추정반응값 분산의 분포에 대한 정보에 한계를 갖는다. 이를 극복하고자 하는 대안으로서 그래픽 방법들이 있는데 우리는 그 중에 분위수그림을 애니메이션화한 동적분위수그림을 제안할 수 있고 이 동적분위수그림을 이용하여 반응표면실험계획들이 갖는 추정반응값분산의 분포를 서로 비교, 평가할 수 있다.

• Journal of applied mathematics & informatics
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• 제30권1_2호
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• pp.111-125
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• 2012

In this paper, we introduce new classes of generalized convex n-set functions called $d$-weak strictly pseudo-quasi type-I univex, $d$-strong pseudo-quasi type-I univex and $d$-weak strictly pseudo type-I univex functions and focus our study on multiobjective subset programming problem. Sufficient optimality conditions are obtained under the assumptions of aforesaid functions. Duality results are also established for Mond-Weir and general Mond-Weir type dual problems in which the involved functions satisfy appropriate generalized $d$-type-I univexity conditions.

• 대한전기학회논문지:시스템및제어부문D
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• 제51권9호
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• pp.389-401
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• 2002

To complement the conventional fusion methodologies of state fusion and measurement fusion, a time-propagated measurement fusion methodology is proposed. Various aspects of common process noise are investigated regarding information preservation. Based on time-propagated measurement fusion methodology, four compression filters are derived. The derived compression filters are efficient in asynchronous sensor fusion and fault detection since they maintain correct statistical information. A new batch Kalman recursion is proposed to show the optimality under the time-propagated measurement fusion methodology. A simple simulation result evaluates estimation efficiency and characteristic.

• International Journal of Reliability and Applications
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• 제18권2호
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• pp.45-63
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• 2017

In this paper, we have formulated optimum Accelerated Life Test (ALT) plan for a parallel system with two independent components using masked data with ramp-stress loading scheme and Type-I censoring. Consider a system of two independent and non-identical components connected in parallel. Such a system fails whenever all of its components has failed. The exact component that causes the system to fail is often unknown due to cost and time constraint. For each parallel system at test, we observe its system's failure time and a set of component that includes the component actually causing the system to fail. The stress-life relationship is modelled using inverse power law, and cumulative exposure model is assumed to model the effect of changing stress. The optimal plan consists in finding out the optimum stress rate using D-optimality criterion. The method developed has been explained using a numerical example and sensitivity analysis carried out.

• 응용통계연구
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• 제13권2호
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• pp.393-405
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• 2000

원래 최적실험의 이론은 주어진 모형과 그에 따른 가정에 기초하여 발달되었기 때문에 하나의 최적실험기준이 실험이 가족 있는 여러 목적을 모두 반영하는 것이 무리이다. 따라서 실험자가 다목적 실험기준의 필요성을 느끼는 경우에는 종종 여러 최적실험 기준들의 균형을 이루는 방법을 통해 이러한 문제가 다루어진다. 본 연구에서는 이 분산 구조를 가지고 있는 모형을 예를 들어 복합적인 실험기준들을 알아본다. 왜냐하면 이분산인 경우 D-최적과 G-최적실험간의 동격이론은 더 이상 성립되지 않음에 따라 두 실험기준의 특징은 현격하게 구분되어지기 때문이다. 제약조건최적실험, 결합최적실험, 그리고 minimax 설험방법을 통한 실험기준들간의 균형을 꾀하여 보았다. 처음 두 방법은 실험자의 주관이 반영되어 실제적으로 매우 세심한 주의가 필요한 반면, minimax는 그러한 점을 해소하였다고 본다. 또한 이를 확장하여 오차의 이분산 구조에 대한 불확실성이 존재할 때 적용될수 있는 두 가지 실험기준도 마련하여 보았다. 간단한 알고리즘과 결어를 첨부하였다.

• 대한수학회지
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• 제35권4호
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• pp.981-997
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• 1998

We shall show first general Metivier operators ${D_y}^2+(x^{2l}+y^{2k}){D_x}^2,l,k=1,2,....,have {G_{x,y}}^{{\theta,d}}$-hypoellipticity in the vicinity of the origin (0,0), where $\theta=\frac{l(1+k)}{l(1+k)-k},\;d=\frac{\theta+k}{1+k}$ (＞1), and finally the optimality of these exponents {$\theta$, d} will be shown.

• International Journal of Advanced Culture Technology
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• 제6권4호
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• pp.58-64
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• 2018

The Extraposition phenomenon in English has been analyzed mainly through two approaches: a derivational approach under the Principles & Parameters framework (P&P) and a representational approach under the early Minimalist framework (MP). The first one tries to understand the phenomenon as a result of the movement of a Big Subject first to the end of a sentence which is then followed by the insertion of an expletive 'it' to the empty Subject position. On the other hand, the second one tries to understand it by way of assuming a Big Subject originally base-generated at the end of a sentence which is followed by the insertion of an expletive 'it' to the empty Subject position. The two approaches, however, are not free from theoretical defects at all: the full derivational approach was under controversy in terms of (1) the failure of the Binding Theory and (2) its inability to suggest anything about the marginal reading issue. On the while, the representational approach has been argued (1) to violate the thematic hierarchy that should be kept in D-structure, and (2) to be also unable to suggest the slightest difference in marginal reading issue as the first one. In this paper I focus mainly on analyzing the 'It'-Extraposition phenomenon in the Optimality Theory. I will show that by way of (i) some newly developed constraints such as Subj., and AHSubj. and (ii) a constraint hierarchy of Subj.>>AHSubj., the controversies of 'It-Extraposition' such as (1) the analysis of construction and (2) the very closely related issue of 'marginal reading issue' can be explained properly.

• International Journal of Advanced Culture Technology
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• 제7권2호
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• pp.168-178
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• 2019

In this paper I discuss a more complicated case of 'It'-Extraposition in English in the Optimality Theory [1] by further modifying and extending the analysis done in Khym (2018) [2] in which only the 'relatively' simple cases of 'It'-Extraposition such as 'CP-Predicate' was dealt with. I show in this paper that the constraints and the constraint hierarchy developed to explain the 'relatively' simple cases of 'It'-Extraposition are no longer valid for the more complicated cases of 'It'-Extraposition in configuration of 'CP-V-CP'. In doing so, I also discuss two important theoretic possibilities and suggest a new view to look at the 'It'-Extraposition: first, the long-bothering question of which syntactic approach between P&P (Chomsky 1985) [3] and MP (Chomsky 1992) [4] should be based on in projecting the full surface forms of candidates may boil down to just a simple issue of an intrinsic property of the Gen(erator). Second, the so-called 'It'- Extraposition phenomenon may not actually be a derived construction by the optional application of Extraposition operation. Rather, it could be just a representational construction produced by the simple application of 'It'-insertion after the structure projection with 'that-clause' at the post-verbal position. This observation may lead to elimination of one of the promising candidates of '$It_i{\ldots}[_{CP}that{\sim}]_i$' out of the computation table in Khym [2], and eventually to excluding the long-named 'It'-Extraposition case from Extrsposition phenomena itself. The final constraints and the constraint hierarchy that are explored are as follows: ${\bullet}$ Constraints: $^*SSF$, AHSubj, Subj., Min-D ${\bullet}$ Constraint Hierarchy: SSF<<>>Subj.>> AHSubj.

• Communications for Statistical Applications and Methods
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• 제2권2호
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• pp.376-386
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• 1995

Designs for polynomial approximation to the unknown response function are considered. Optimality criteria are monotone functions of the mean squared error matrix of the least squares estimator. They correspond to the classical A-, D-, G- and Q-optimalities. Optimal first order designs are chosen from the invariant designs and then compared with optimal second order designs.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회 2006년도 추계학술대회
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• pp.531-534
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• 2006

Response surface methodology (RSM) is a useful collection of experimentation techniques for developing, improving, and optimizing products and processes. When we are to estimate second-order regression model and optimize quality characteristic by RSM, central composite designs and Box-Behnken designs are widely in use. However, in developing cutting-edge products, it is very crucial to reduce the time of experimentation as much as possible. In this paper small-sized second-order designs are introduced and their estimation abilities are compared in terms of D-optimality, A-optimality, and variance of regression coefficients, ease of experimentation, number of experiments. Then we present a guideline of using specific designs for specific experimentation circumstances. The result of this study will be beneficial to experimenters who face experiments which are expensive, difficult, or time-consuming.