• 한국데이터정보과학회:학술대회논문집
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• 한국데이터정보과학회 2003년도 추계학술대회
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• pp.155-162
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• 2003

A tandem network in which all nodes have the same load is considered. We derive bounds on the probability that the total population of the tandem network exceeds a large value by using its relation to the stationary distribution. These bounds imply a stronger asymptotic limit than that in the large deviation theory.

• 대한수학회지
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• 제49권6호
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• pp.1163-1174
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• 2012

This paper examines a temperature dependent Stokes flow in a semi-infinite cylinder. Under appropriate initial and boundary conditions the author establishes exponential decay of solutions in energy norm with distance from the finite end of the cylinder.

• 품질경영학회지
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• 제16권2호
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• pp.10-17
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• 1988

The problem of making confidence statements is considered about the means of treatments with t largest sample values among k available treatments. These confidence bounds are used in selecting a fixed number of superior treatments. An illustrative example is also provided.

• Journal of applied mathematics & informatics
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• 제9권2호
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• pp.593-605
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• 2002

Explicit hounds are obtained for the perturbed, or corrected, trapezoidal and midpoint rules in terms of the Lebesque norms of the second derivative of the function. It is demonstrated that the bounds obtained are the same for both rules although the perturbation or the correction term is different.

• Korean Journal of Mathematics
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• 제10권1호
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• pp.67-74
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• 2002

Suppose linear forms whose coefficients are arithmetic progressions are given. In this paper, we will find the upper and lower bounds of the minimal ranks of subforms of these forms which left the Frobenius numbers invariant. This is an improvement of Ritter's bounds.

• Journal of the Korean Data and Information Science Society
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• 제11권1호
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• pp.31-35
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• 2000

We shall give upper and lower bounds of the odds ratio of an event by a slight condition of the conditional probability of events.

• Journal of the Korean Data and Information Science Society
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• 제14권3호
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• pp.715-723
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• 2003

A tandem network in which all nodes have the same load is considered. We derive bounds on the probability that the total population of the tandem network exceeds a large value by using its relation to the stationary distribution. These bounds imply a stronger asymptotic limit than that in the large deviation theory.

• 자연과학논문집
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• 제9권1호
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• pp.69-74
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• 1997

일반화 된 고유치문제의 섭동 유계에 관하여 Crawford 수와 codal 측정을 이용하여 분석한다.

• Communications for Statistical Applications and Methods
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• 제20권1호
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• pp.15-22
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• 2013

We find a sufficient condition for optimal Berry-Esseen bounds in the normal approximation of functionals of Gaussian fields studied by Nourdin and Peccati (2009b).

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제4권1호
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• pp.77-85
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• 1997

In this work we will show that, in the sense of the Maximum overestimation factor, the absolute root bound functional derived from the new formula for the divided difference is better than the other known results in this area.