• Fibers and Polymers
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• 제6권4호
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• pp.332-335
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• 2005

The fibrogram theory is newly derived from the superposition principle of the conventional staple diagram, in which the left-hand ends of the fibers have to share a common starting point in order for the fiber length distribution to be measured, and the right-hand ends of the fibers form points. It is shown that the fibrogram is the staple diagram of the fiber sample having different random starting points, as well as the double cumulative distribution function of the frequency length function in the length biased sample. Also, the various means, viz. the numerical mean length, numerical mean length in median, length biased mean length, and length biased mean length in median, and the various upper half means, viz. the numerical upper half mean length, numerical upper half mean length in median, length biased upper half mean length, and length biased upper half mean length in median, are discussed in relation to the cotton blending process.

• Journal of applied mathematics & informatics
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• 제40권1_2호
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• pp.1-13
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• 2022

This article introduces a new distribution called length-biased powered inverse Rayleigh distribution. Some of its statistical properties are derived. Maximum likelihood procedure is applied to report the point and interval estimations of all model parameters. The proposed distribution is also applied to two real data sets for illustrative purposes.

• Journal of the Korean Data and Information Science Society
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• 제10권1호
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• pp.243-250
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• 1999

We consider $Y=X{\lambda}Z,\;{\lambda}>0$, where X and Z are independent random variables, and Y is the length biased distribution or the equilibrium distribution of X. The purpose of this paper is to consider the distribution of X or Y when the distribution of Z is given and the distribution of Z when the distribution of X or Y is given, In particular, we obtain that the necessary and sufficient conditions for X to be $X^{2}({\upsilon})\;is\;Z{\sim}X^{2}(2)\;and\;for\;Z\;to\;be\;X^{2}(1)\;is\;X{\sim}IG({\mu},\;{\mu}^{2}/{\lambda})$, where $IG({\mu},\;{\mu}^{2}/{\lambda})$ is two-parameter inverse Gaussian distribution. Also we show that X is smaller than Y in the reverse Laplace transform ratio order if and only if $X_{e}$ is smaller than $Y_{e}$ in the Laplace transform ratio order. Finally, we can get the results that if X is smaller than Y in the Laplace transform ratio order, then $Y_{L}$ is smaller than $X_{L}$ in the Laplace transform order, and that if X is smaller than Y in the reverse Laplace transform ratio order, then $_{\mu}X_{L}$ is smaller than $_{\nu}Y_{L}$ in the Laplace transform order.

• Journal of the Korean Data and Information Science Society
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• 제4권
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• pp.45-51
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• 1993

For studies in reliability, biometry and survival analysis, the length biased distribution is frequently appropriate for certain natural sampling plans. So, we shall convey the preservation of some partial orderings under life length biasd distributions and closures of ILR and NBU classes under life length biasd distributions.

• 한국전기전자재료학회논문지
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• 제20권11호
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• pp.1009-1014
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• 2007

A detailed study on aged sleeves for old transmission lines was carried out to clarify the deterioration of sleeves and the condition of installation. A lot of removed aged sleeves from transmission lines were investigated. Many biased installed cases and corrosion of steel sleeve part were found. These defects can cause a serious accident such as blackout during operating. The temperature distribution within sleeve of ACSR conductor was precisely measured and examined, conducted as part of series of studies on large currents in transmission lines. According to measurements of the conductor temperature near a joint(sleeve and clamp), the electrical resistance of joint is lower than that of the same length conductor. The detailed results were presented in the text.

• International Journal of Reliability and Applications
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• 제14권1호
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• pp.27-39
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• 2013

In this article, a new model based on the Rayleigh distribution is introduced. This model is useful and practical in physics, reliability, and life testing. The statistical and reliability properties of this model are presented, including moments, the hazard rate, the reversed hazard rate, and mean residual life functions, among others. In addition, it is shown that the distributions of the new model are ordered regarding the strongest likelihood ratio ordering. Four estimating methods, namely, method of moment, maximum likelihood method, Bayes estimation, and uniformly minimum variance unbiased, are used to estimate the parameters of this model. Simulation is used to calculate the estimates and to study their properties. Finally, the appropriateness of this model for real data sets is shown by using the chi-square goodness of fit test and the Kolmogorov-Smirnov statistic.

• 한국초지조사료학회지
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• 제30권1호
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• pp.67-76
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• 2010

본 연구는 춘파 야생화초지의 생육특성, 계절개화분포 및 식생비율을 구명하고자 시험하였다. 공시초종은 기본초종인 잔디형 목초로 Sheep fescue (Azure), 야생화 초종으로는 국내산 야생화 4종과 외국산 야생화 29종 등 총 34종을 공시하였다. 시험은 충남대학교 초지시험 포장에서 2008년 3월부터 2009년 12월까지 수행하였으며, 얻어진 결과는 다음과 같다. 야생화의 초장은 8~60 cm 범위로 상하 공간배치는 양호한 편이었으며, 꽃색은 9가지로 다양하게 개화되었으나 8월, 9월 및 10월에는 1~3가지로 편중되었다. 개화는 5~6월에 편중되었고 8월부터는 야생화의 개화 및 영속성 유지가 상당히 어려웠다. 그러나, 2년차(2009)에는 월동 후 일년생 야생화초종의 식생 감소로 야생화의 꽃색, 계절분포 및 영속성이 문제시 되었다. 야생화초지의 연평균 식생비율은 야생화, 잔디형 목초 및 잡초가 각각 1년차(2008)에는 24%, 62% 및 14%이었고, 2년차(2009)에는 각각 16%, 69% 및 15%를 유지하였다. 이상의 결과로 보아 춘파 야생화초지의 경우, 파종당년보다는 2년차에 야생화의 꽃 색, 계절개화분포 및 영속성을 유지할 수 있는 방안이 중요하다고 하겠다.

• 한국수산과학회지
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• 제39권5호
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• pp.410-418
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• 2006

Sexual maturity and growth characteristics of Octopus minor were investigated in 796 individuals from mud flats in Goorori, Muan-Goon, Korea. Gonadosomatic index (GSI) peaked between June and July in females and between November and January in males. The discrepancy in the index peaks between females and males might result from the earlier sexual maturation of males. The sex ratio was biased toward females (68%) in April and toward males (78%) in September, although the differences were not significant (p>0.05). In females, about 50% of individuals with a mantle length of 70.6 mm were sexually mature versus 100% of individuals with mantle lengths over 80 mm. In females, fecundity was also related to size, ranging from 44 eggs in individuals with a mantle length of 54 mm to 179 eggs in the female with a mantle length of 100.5 mm. The relationship between mantle length (ML) an body weight (BW) was BW=0.008 ML$^{2.2797}$ (n=389, r$^2$=0.83, p<0.01) in males and BW=0.029 ML$^{2.2797}$ (n=407, r$^2$=0.74, p<0.01) in females. Analysis of co-variation showed that the difference in the slopes of the two regression lines was significant (p<0.01). Analysis of mantle length-frequency for each month revealed 1 to 3 normal distribution modes. The growth parameters obtained by fitting the modal progression to the seasonalized von Bertalanffy growth function (VBGF) were ML$\infty$= 112.38 mm, K=1.9, C=0.90, and WP=0.1. The results indicate that the seasonal growth oscillation of the stock is very strong and winter is the season when growth is the slowest.

• 한국환경과학회지
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• 제11권11호
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• pp.1141-1147
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• 2002

Based on the tide gauge data from the Permanent Service for Meau Sea Level (PSMSL) collected at 23 locations in the Korean coast, the long-term sea-level trend was computed using a simple linear regression fit over the recorded length of the monthly mean sea-level data. The computed sea-level trend was also corrected for the vertical land movement due to post glacial rebound(PGR) using the ICE-4G(VM2) model output. It was found that the PGR-corrected sea-level trend near Korea was 2.310 $\pm$ 2.220 mm/yr, which is higher than the global average at 1.0∼2.0mm/yr, as assessed by the Intergovernmental Panel on Climate Change(IPCC). The regional distribution of the long-term sea-level trend near Korea revealed that the South Sea had the largest sea-level rise followed by the West Sea and East Sea, respectively, supporting the results of the previous study by Seo et al. However, due to the relatively short record period and large spatial variability, the sea-level trend from the tide gauge data for the Korean coast could be biased with a steric sea-level rise by the global warming during the 20th century.

• 한국어류학회지
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• 제32권3호
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• pp.148-159
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• 2020

본 연구는 동해 중부 연안에 서식하는 명태의 연직 분포와 개체 크기의 계절 및 연간 변화를 분석하였다. 2016년 1월부터 2018년 2월까지 채집된 명태 개체의 전장은 16.6 cm~81.5cm 범위를 나타내었으며, 50~600 m 사이의 수심대에서 어획되었다. 이 중 25~35 cm 그룹이 차지하는 비율은 45.5%, 35~45 cm 그룹이 차지하는 비율은 27.2%를 나타내며 높은 비율을 차지하였다. 평균 전장은 1월에 가장 크고, 6월에 가장 작았으며, 6월 이후 점차 증가하는 계절주기 변동 특성을 나타내었다. 25 cm 미만 그룹은 100~200 m 수심에 서식하는 비율이 겨울철에 가장 높으며, 이후 봄, 여름, 가을에는 보다 깊은 수심으로 주 서식처를 변화하여 400 m 이상 수심에서 서식하는 비율이 40% 이상을 차지하였다. 25~35 cm와 35~45 cm 개체 그룹의 겨울철 연직 분포는 400 m 이상 수심에서 서식하는 비율이 45% 이상을 기록하였으며, 봄과 여름에는 보다 얕은 수심영역으로 서식처를 변화하여 200 m 미만 수심에서 서식하는 비율이 증가하였다. 이후 가을부터는 다시 서식하는 수심대가 깊어져 300 m 이상 수심의 비율이 증가하였다. 45 cm 이상 개체 그룹은 뚜렷한 계절 변동성을 나타내지 않으며 300 m 이상 수심에서 서식하는 비율이 가장 높았다. 이러한 명태의 연직 분포는 서식처의 물리적 환경 변화에 영향을 받는다. 특히, 상층부의 수온이 상승하고 수온약층 아래 100~300 m 수심대의 수온이 하강한 시기에는 300 m 이상의 깊은 수심대에서 어획되는 비율은 감소한 반면, 수온이 하강한 100~300 m 수심대에서 어획되는 비율이 증가하였다.