• Journal of the Korean Statistical Society
• /
• 제21권2호
• /
• pp.201-207
• /
• 1992

The algorithm for obtaining the isotonic regression in simple tree order, the most basic and simplest model next to the simple order, is considered. We propose to call it "Pool-the-Maximum-Violators" algorithm (PMVA) in conjunction with the "Pool-Adjacent-Violators" algorithm (PAVA) in the simple order. The dual problem of obtaining the isotonic regression in simple tree order is our main concern. An intuitively appealing relation between the primal and the dual problems is demonstrated. The interesting difference is that in simple order the required number of pooling is at least the number of initial violating pairs and any path leads to the solution, whereas in the simple tree order it is at most the number of initial violators and there is only one advisable path although there may be some others leading to the same solution.o the same solution.

• 한국통계학회:학술대회논문집
• /
• 한국통계학회 2005년도 춘계 학술발표회 논문집
• /
• pp.197-201
• /
• 2005

In this article, we will compare the performance of the mean control chart, the median control chart, the transformed mean control chart, the transformed median control chart, and the precedence control chart by simulation study. For control charts with transformed data, Yeo-Johnson transformation is used. Under the in-control condition, ARL's in all control charts coincide with the designed ARL in the normal distribution, but in the other distributions, only the precedence control chart provides the in-control ARL as designed. Under the out-of-control condition, the mean control chart is preferred in the normal distribution and the median control chart is preferred in the heavy-tailed distribution and the precedence control chart outperforms in the short-tailed distribution.

• Kyungpook Mathematical Journal
• /
• 제62권1호
• /
• pp.89-106
• /
• 2022

We are concerned with finding a common solution to an equilibrium problem associated with a bifunction, and a constrained convex minimization problem. We propose an iterative fixed point algorithm and prove that the algorithm generates a sequence strongly convergent to a common solution. The common solution is identified as the unique solution of a certain variational inequality.

• Communications for Statistical Applications and Methods
• /
• 제8권2호
• /
• pp.319-325
• /
• 2001

In this note, we propose a simple fuzzy linear regression model for fuzzy input-output data based on Tanaka's approach. Then an LP-based method to derived the satisfying solution of the decision making is developed.

• 한국통계학회:학술대회논문집
• /
• 한국통계학회 2003년도 춘계 학술발표회 논문집
• /
• pp.31-36
• /
• 2003

Using a short time expansion of the fundamental solution of heat equation by analysis of Wiener functional with the help of Malliavin calculus, we obtain the asymptotic expansion of the mean distance of Brownian motion on Riemannian manifolds.

• 지질공학
• /
• 제13권3호
• /
• pp.369-378
• /
• 2003

캐오리나이트, 일라이트, 녹리석의 중금속(Pb, Cu, Zn, Cd) 흡착에 다양한 실험적 변수의 영향을 박스-벤켄(Box-Benken)모델을 이용한 통계 모델링을 실시하였다 중금속 흡착에 미치는 변수로 pH, 중금속의 초기농도, HCO3 (혹은 K)농도를 변수로 하고, 각 실험변수의 농도를 3차원으로 설정하여 모델에 근거한 벳치실험과 3차원 통계모델링을 실시하였다. 아울러 일라이트에 한하여 pH변화에 따른 중금속의 흡착특성을 알아보았다. 통계적 해를 얻기 위하여 SAS 프로그램을 이용하여 표면반응 분석을 통하여 실시하였다 중금속의 흡착에 영향을 미치는 가장 큰 변수는 pH이며, 그다음 중금속의 초기 농도와 중탄산(혹은 K성분)의 농도가 실험적 조건에 따라서 서로 다른 영향력을 보인다. 점토광물에 따른 중금속 흡착능력의 차이는 크지 않지만 일라이트의 경우 중금속의 초기농도에 따라서 흡착율에 상당한 차이를 보인다. 일라이트의 중금속 흡착에 K 성분이 흡착경쟁에 영향을 미치는 것으로 나타났다. 중금속간의 흡착경쟁은 Cu>Pb>>Zn>Cd의 순서를 보인다. 중금속 흡착에 점토광물의 광물학적 영향보다는 수용액의 화학적 조건이 더 큰 영향을 미치는 것으로 나타났다. 통계모델에 근거한 흡착모델링은 흡착결과를 3차원으로 효과적으로 표현할 수 있으며, 실험적 노력을 경감할 수 있는 효과적인 방법으로 판단된다.

• 한국고분자학회:학술대회논문집
• /
• 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
• /
• pp.118-119
• /
• 2006

The characterization method for associating polymer solutions was briefly reviewed. The method has not yet established in comparison with the characterization method for molecularly dispersed polymers in solution. However, two examples of associating polymer systems, living polybutadiene anions and amphiphilic statistical copolymers, were successfully characterized on the basis of suitable model and theory.

• 응용통계연구
• /
• 제23권4호
• /
• pp.739-745
• /
• 2010

This paper computes the repurchase index based on statistical modeling. Using the transaction record of a certain product, the repurchase index is obtained by fitting the Poisson regression model. The customers are classified into 5 groups based on the index giving the information about the propensity to repurchase.

• Journal of the Korean Statistical Society
• /
• 제25권4호
• /
• pp.589-601
• /
• 1996

Geometric approach to extend the classical two-set theory of canonical correlation analysis to three or more sets is considered. It provides statistical graphs to represent the data in a low dimensional space. Procedures are developed for computing the canonical variables and the corresponding properties are investigated. The solution is equivalent to that of the usual problem in the case of two sets. Goodness-of-fit of the proposed plots is studied and a numerical example is included.

• Journal of the Korean Statistical Society
• /
• 제25권2호
• /
• pp.161-173
• /
• 1996

When we deal with a Hilbert space-valued Stochastic Differential Equation (SDE) (or Stochastic Partial Differential Equation (SPDE)), depending on some unknown parameters, the solution usually has a Fourier series expansion. In this situation we consider the maximum likelihood method for the statistical estimation problem and derive the asymptotic properties (consistency and normality) of the Maximum Likelihood Estimator (MLE).