• Journal of the Korean Data and Information Science Society
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• 제23권4호
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• pp.797-805
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• 2012

Many circular distributions are known to be not only asymmetric but also bimodal. Hidden truncation method of generating asymmetric distribution is applied to a bivariate circular distribution to generate an asymmetric circular distribution. While many other existing asymmetric circular distributions can only model an asymmetric data, this new circular model has great flexibility in terms of asymmetry and bi-modality. Some properties of the new model, such as the trigonometric moment generating function, and asymptotic inference about the truncation parameter are presented. Simulation and real data examples are provided at the end to demonstrate the utility of the novel distribution.

• 대한의용생체공학회:의공학회지
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• 제19권6호
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• pp.585-593
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• 1998

퓨리에 자기공명영상 기법의 경우 촬영시간 단축 및 적절한 신호대잡음비 유지를 위해 phase-encoded 신호의 개수를 감소시키는 경우가 종종 있다. 그러나, 이는 재구성된 영상에 번짐과 물결무늬 형태의 truncation artifact를 초래한다. 본 논문에서는 이러한 truncation artifact를 감소시키기 위해 Bayesian 방법에 근거한 새로운 정칙화기법을 제안한다. Truncation artifact는 phase 방향으로만 형성되므로 종전의 상호 대칭형태의 주변화소를 고려한 piecewise smoothness 사전정보를 사용할 경우 read 방향으로의 미세한 영상정보가 유실되기 쉽다. 따라서, 본 연구에서는 종전의 단순대칭형 보다 개선된 형태로서 자기공명영상의 공간정보를 포착할 수 있는 정교한 사전정보의 형태를 제안한다. 본 연구진의 실험결과 새롭게 제안된 방법으로 적용할 경우 truncation artifact가 감소될 뿐 아니라 종전의 미세정보유실 현상이 감소됨으로써 tissue regularity와 경계가 한층 더 향상됨을 확인할 수 있었다.

• Communications for Statistical Applications and Methods
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• 제21권2호
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• pp.115-124
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• 2014

In this paper we derive a Berry-Esseen type bound for the kernel density estimator of a random left truncated model, in which each datum (Y) is randomly left truncated and is sampled if $Y{\geq}T$, where T is the truncation random variable with an unknown distribution. This unknown distribution is estimated with the Lynden-Bell estimator. In particular the normal approximation rate, by choice of the bandwidth, is shown to be close to $n^{-1/6}$ modulo logarithmic term. We have also investigated this normal approximation rate via a simulation study.

• 대한조선학회지
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• 제19권2호
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• pp.13-18
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• 1982

The method of Rankine source distribution is emerging as a powerful yet simple alternative for the solution of complicated free surface problems. But it has been uncertain whether the radiation condition could be satisfied exactly by distributing the simple sources on the free surface only. In this paper, it is proved rigorously that the Rankine sources, whose intensities are varying sinusoidally along the axis satisfying the free surface boundary condition, generate the radiation waves both in the infinite and finite-depth flows. A formula is derived to give the upper and lower bounds of the errors in the induced velocity computation that will be introduced by truncating the extent of source distribution on the free surface. Since the truncation is inevitable in the numerical analysis, this formula may be used as a criterion to limit the position of the field points, where velocity computation is made, away from the truncation boundary. A typical analysis shows that the maximum error will be 3.4 percent of the exact induced velocity when the field point is on the free surface two wave lengths away from the truncation boundary.

• 국제강구조저널
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• 제18권4호
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• pp.1242-1251
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• 2018

Not all loads contribute to fatigue crack propagation in the welded detail of steel bridges when they are subjected to variable amplitude loading. For fatigue assessment, therefore, non-contributing stress cycles should be truncated. However, stress range truncation is not considered during typical fatigue reliability assessment. When applying the first order reliability method, stress range truncation occurs mismatch between the expected number of cycles to failure and the number of cycles obtained at the time of evaluation, because the expected number of cycles only counts the stress cycles that contribute to fatigue crack growth. Herein, we introduce a calibration factor to coordinate the expected number of cycles to failure to the equivalent value which includes both contributing and non-contributing stress cycles. The effectiveness of stress range truncation and the proposed calibration factor was validated via case studies.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권11호
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• pp.5489-5511
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• 2019

The performance of evolutionary algorithms can be seriously weakened when constraints limit the feasible region of the search space. In this paper we present a constrained multi-objective optimization algorithm based on adaptive ε-truncation (ε-T-CMOA) to further improve distribution and convergence of the obtained solutions. First of all, as a novel constraint handling technique, ε-truncation technique keeps an effective balance between feasible solutions and infeasible solutions by permitting some excellent infeasible solutions with good objective value and low constraint violation to take part in the evolution, so diversity is improved, and convergence is also coordinated. Next, an exponential variation is introduced after differential mutation and crossover to boost the local exploitation ability. At last, the improved crowding density method only selects some Pareto solutions and near solutions to join in calculation, thus it can evaluate the distribution more accurately. The comparative results with other state-of-the-art algorithms show that ε-T-CMOA is more diverse than the other algorithms and it gains better in terms of convergence in some extent.

• Asian-Australasian Journal of Animal Sciences
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• 제6권4호
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• pp.497-507
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• 1993

Four truncation selection schemes (SSs) were framed to predict and compare the age structures and genetic responses under the influence of various factor employing the scheme-specific algorithms. Two paths of selection, sires (bulls' sires) and dams (bulls' dams) to breed young bulls were considered. Among variable factors, four levels (0.3, 0.5, 0.7, 0.9) of precision of evaluation, five levels (0.0, 0.05, 0.10, 0.15, 0.20 genetic standard deviation) of genetic differences among age classes and 4 levels of proportions selected (for bulls' sire, 0.05, 0.10, 0.125, 0.25, and for bulls' dams 0.02, 0.04, 0.05, and 0.10) contemplated on both paths of selection. The number of age classes for bulls' dams and bulls' sires were 4 or 8 and 2 or 4, respectively. The stayability across age classes for bulls' dams was assumed to be 0.80 or 0.60. The candidates for selection for bulls' sires were equally distributed (0.5 or 0.25) across the age classes. The SS1 (selection on same proportions as candidates' distribution) revealed longest generation lengths and lowest yearly genetic responses. The average ages were youngest and yearly genetic responses were highest in SS4 (selection at each age-specific truncation point with the same average genetic superiority of selected parents across the ages) and followed by SS3 (selection at each agespecific truncation point with same predicted genetic values) and SS2 (selection at common truncation point on phenotypic values) in a population with overlapping generations. The results revealed the importance of choosing suitable selection scheme to acquire maximum yearly genetic responses especially when the genetic differences among age classes are large and the precision of evaluation is relatively low.

• 한국수자원학회논문집
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• 제33권5호
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• pp.519-526
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• 2000

본 연구는 서울지점의 연강수량 기록 중 1900년을 전후한 장기 건조기와 같이 연속적으로 발생하는 과우해에 대해 주목하고, 이와같이ㅣ 연속된 과유해의 재현 가능성을 살펴보는 것을 목적으로 한다. 과우해의 기준으로는 과우해의 발생에 독립성이 보장되도록 포아송 분포를 따르는 수준으로 결정하였으며, 평균-0.5표준편차의 절단수준에서는 대략 99%의 유의수준에서, 평균-0.75표준편차 및 그 이하의 절단수준에 대해서는 95%의 유의수준에서 포아송 분포를 만족시키는 것으로 나타났다. 이러한 절단수준에 대해 1900년 전후로 나타나는 장기 건조기는 단지 4년 연속의 과우해 등으로 분리되게 된다. 이와 같이 결정된 절단수준에 대해 연속된 과우해의 발생확률은 포아송 과정을 적용하여 추정하였으며, 그 결과 평균-0.75표준편차 및 그 이하의 절단수준에 대해서는 관측치와 계산치가 유사하게 나타남을 파악할 수 있었다. 특히, 아주 낮은 절단수준인 평균-1.0표준편차의 경우 연속된 과우해의 발생확률은 1900년을 전후로 한 장기건조기의 전반부 (조선시대 측우기 기록)보다 후반부 (근대관측기록)에 작게 나타나고 있어 장기 건조기의 발생 가능성은 근대에 들어 줄어들고 있음도 파악할 수 있었다.

• Journal of applied mathematics & informatics
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• 제38권3_4호
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• pp.351-373
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• 2020

There is an extensive literature on retrial queueing models. While a majority of the literature on retrial queueing models focuses on the retrial times to be exponentially distributed (so as to keep the state space to be of a reasonable size), a few papers deal with nonexponential retrial times but with some additional restrictions such as constant retrial rate, only the customer at the head of the retrial queue will attempt to capture a free server, 2-state phase type distribution, and finite retrial orbit. Generally, the retrial queueing models are analyzed as level-dependent queues and hence one has to use some type of a truncation method in performing the analysis of the model. In this paper we study a retrial queueing model with threshold-type policy for orbiting customers in the context of nonexponential retrial times. Using matrix-analytic methods we analyze the model and compare with the classical retrial queueing model through a few illustrative numerical examples. We also compare numerically our threshold retrial queueing model with a previously published retrial queueing model that uses a truncation method.

• 물과 미래
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• 제18권4호
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• pp.317-325
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• 1985

본 연구에서는 낙동강, 한강 및 금강의 중요관측지점의 월평균 유출량을 분석에 사용하였으며, 먼저 일정유량(Truncation level) 별로 Run-length와 Run-sum에 대한 2-변수 Gamma 분포 및 대수정규분포의 적합성 여부를 검토하였던 바 Gamma 모델이 적합한 것으로 판명된 자료와 실측치와 비교하였다. 그리고 Run-length 및 Run-sum에 대한 일정유량별로 평균치의 변화에 대한 성질을 구명하였다.