• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.563-568
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• 2006

We introduce how to construct a non-unimodal level O-sequence which has all different local maxima as many as we desire.

• Journal of Radiation Protection and Research
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• 제41권2호
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• pp.149-154
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• 2016

Background: Any real application of Bayesian inference must acknowledge that both prior distribution and likelihood function have only been specified as more or less convenient approximations to whatever the analyzer's true belief might be. If the inferences from the Bayesian analysis are to be trusted, it is important to determine that they are robust to such variations of prior and likelihood as might also be consistent with the analyzer's stated beliefs. Materials and Methods: The robust Bayesian inference was applied to atmospheric dispersion assessment using Gaussian plume model. The scopes of contaminations were specified as the uncertainties of distribution type and parametric variability. The probabilistic distribution of model parameters was assumed to be contaminated as the symmetric unimodal and unimodal distributions. The distribution of the sector-averaged relative concentrations was then calculated by applying the contaminated priors to the model parameters. Results and Discussion: The sector-averaged concentrations for stability class were compared by applying the symmetric unimodal and unimodal priors, respectively, as the contaminated one based on the class of ${\varepsilon}$-contamination. Though ${\varepsilon}$ was assumed as 10%, the medians reflecting the symmetric unimodal priors were nearly approximated within 10% compared with ones reflecting the plausible ones. However, the medians reflecting the unimodal priors were approximated within 20% for a few downwind distances compared with ones reflecting the plausible ones. Conclusion: The robustness has been answered by estimating how the results of the Bayesian inferences are robust to reasonable variations of the plausible priors. From these robust inferences, it is reasonable to apply the symmetric unimodal priors for analyzing the robustness of the Bayesian inferences.

• Communications for Statistical Applications and Methods
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• 제21권3호
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• pp.201-212
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• 2014

We provide a simple basic method to find bounds for higher order moments of unimodal distributions in terms of lower order moments when the random variable takes value in a given finite real interval. The bounds for moments in terms of the geometric mean of the distribution are also derived. Both continuous and discrete cases are considered. The bounds for the ratio and difference of moments are obtained. The special cases provide refinements of several well-known inequalities, such as Kantorovich inequality and Krasnosel'skii and Krein inequality.

• 응용통계연구
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• 제8권1호
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• pp.159-167
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• 1995

지수족(exponential family)에 속하면서 어떤 특별한 형태를 따르는 이산분포는 그 분포함수가 정의된 정수에 대한 단봉적 순열이다. 본 논문에서 그러한 분포함수의 모수에 대한 혼합형이 어떤 조건하에서 항상 단봉적 순열을 유지하는가에 대하여 연구하였다. 그 예로써 이항분포와 포아송분포 각각에 대한 최대모수구간을 구하여, 그 모수 구간안에서의 혼합형은 항상 단봉적임을 보였다.

• 대한교통학회지
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• 제31권2호
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• pp.45-59
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• 2013

이 연구는 우리나라에서 현재까지 사용되어 온 (수단O/D기반)화물수요추정법의 문제점 인식을 바탕으로 P/C기반 화물수요추정법과 비교 분석을 수행하였다. 우리나라 화물수단O/D는 화물의 최초기점과 최종종점 간 운송을 수단별 통행으로 나누어 인식하면서 접근트럭통행(Access/Egress Truck Trip)에 대한 정보가 누락되어있다. 이러한 이유로 수단O/D기반 화물수요추정법은 화물의 복합수단운송을 반영하지 못하는 단점이 있다. 이에, 본 연구는 우리나라 컨테이너 화물을 중심으로 P/C표와 복합수단선택모형을 추정하여 P/C기반 화물수요추정법을 제시하고, 기존 사용되어 오던 수단O/D기반 화물수요추정법과 기종점쌍 간 전환량, 수단통행물동량, 링크물동량을 비교하였다. 비교 결과 P/C기반 화물수요추정법은 복합운송을 제대로 모사하지 못하는 기존 수단O/D기반 화물수요추정법의 문제점을 해결할 수 있는 것으로 평가되었다.

• Anatomy and Cell Biology
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• 제51권4호
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• pp.260-265
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• 2018

Undergraduate students struggle to comprehend embryology because of its dynamic nature. Studies have recommended using a combination of teaching methods to match the student's learning style. But there has been no study to describe the effect of such teaching strategy over the different types of learners. In the present study, an attempt has been made to teach embryology using the combination of analogies and simple 2D animations made with Microsoft powerpoint software. The objective of the study is to estimate the difference in academic improvement and perception scale between the different types of learners after introducing analogies and 2D animation in a lecture environment. Based on Visual, Aural, Read/Write, and Kinesthetic (VARK) scoring system the learners were grouped into unimodal and multimodal learners. There was significant improvement in post-test score among the unimodal (P<0.001) and multimodal learners (P<0.001). When the post-test score was compared between the two groups, the multimodal learners performed better the unimodal learners (P=0.018). But there was no difference in the perception of animations and analogies and long-term assessment between the groups. The multimodal learners performed better than unimodal learners in short term recollection, but in long term retention of knowledge the varied learning style didn't influence its outcome.

• Journal of the Korean Statistical Society
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• 제23권1호
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• pp.187-198
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• 1994

We derive a new Cramer-Rao type lower bound for the reciprocal of the density height of the median-unbiased estimators which improves most of the previous lower bounds and is attainable under much weaker conditions. We also identify useful necessary and sufficient condition for the attainability of the lower bound which is considerably weaker than those for the mean-unbiased estimators. It is shown that these lower bounds are attained not only for the family of continuous distributions with monotone likelihood ratio (MLR) property but also for the location and scale families with strong unimodal property.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.541-548
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• 2006

We find a graded Artinian level O-sequence of the form $H\;:\;h_0\;h_1\;\cdots\;h_{d-1}\;h_d\cdots$ $^{(d+1-1_)-st}h_d$ < $h_{d+s}$ not having the Weak-Lefschetz property. We also introduce several algorithms for construction of some examples of non-unimodal level O-sequences using a computer program called CoCoA.

• Journal of applied mathematics & informatics
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• 제29권1_2호
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• pp.443-450
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• 2011

In this paper, we construct a Gorenstein Artinian algebra R/J with non-unimodal Hilbert function h = (1, 13, 12, 13, 1) to investigate the algebraic structure of the ideal J in a polynomial ring R. For this purpose, we use a software system Macaulay 2, which is devoted to supporting research in algebraic geometry and commutative algebra.

• 에너지공학
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• 제2권1호
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• pp.114-122
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• 1993

A model describing the reaction rate and catalyst deactivation in a simplified reaction system was developed to investigate the significance of catalyst pore structure in terms of porosities, porosity ratios, and size ratios of reactants to pores. The model showed that the unimodal catalyst could give a better performance than the bimodal in certain circumstances and the crossover found in the reactivity curves resulted from a trade-off between surface area and diffusivity. Under the assumption of uniform coke buildup, the bimodal catalyst appeared to provide better resistance to deactation than unimodal catalyst.