• Title/Summary/Keyword: Bell-shaped curve

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Estimation of Asymmetric Bell Shaped Probability Curve using Logistic Regression (로지스틱 회귀모형을 이용한 비대칭 종형 확률곡선의 추정)

  • 박성현;김기호;이소형
    • The Korean Journal of Applied Statistics
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    • v.14 no.1
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    • pp.71-80
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    • 2001
  • Logistic regression model is one of the most popular linear models for a binary response variable and used for the estimation of probability function. In many practical situations, the probability function can be expressed by a bell shaped curve and such a function can be estimated by a second order logistic regression model. However, when the probability curve is asymmetric, the estimation results using a second order logistic regression model may not be precise because a second order logistic regression model is a symmetric function. In addition, even if a second order logistic regression model is used, the interpretation for the effect of second order term may not be easy. In this paper, in order to alleviate such problems, an estimation method for asymmetric probabiity curve based on a first order logistic regression model and iterative bi-section method is proposed and its performance is compared with that of a second order logistic regression model by a simulation study.

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Improvement of the Blasting Productivity by Optimizing the Abrasive-to-Air Mixing Ratio (Grit와 Air의 혼합비 최적화를 통한 블라스팅 효율 향상)

  • Bae, Han-Jin;Baek, Jae-Jin;Kim, Eul-Hyun;Chung, Mong-Ku;Shin, Chil-Seok;Baek, Kwang-Ki
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1436-1441
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    • 2004
  • Achieving the maximum blasting efficiency with minimum abrasive consumption is a critical concern in surface preparation stage of shipbuilding and offshore industry. Increasing the abrasive flow rate beyond the optimum point results in a major reduction in productivity even though the amount of abrasive used is larger. So, this study is intend to find out the optimum abrasive-to-air mixing ratio which can make a significant improvement in blasting efficiency and remarkably reduce the amount of abrasive used. From the test results, it can be identified that as the abrasive feeding rate is increased linearly, blasting efficiency is increased to a maximum point and then gradually decreased in the form of a bell-shaped.

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A Study on Stand Structure and Growth Characteristics of Korean White Pine (Pinus koraiensis) in North Central Region of Gangwon Province (강원 중ㆍ북부 지역의 잣나무 임분구조 및 생장특성)

  • Lee, Daesung;Choi, Jungkee
    • Journal of Forest and Environmental Science
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    • v.30 no.1
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    • pp.101-106
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    • 2014
  • The purpose of this research was to figure out the stand structure and growth characteristic with relation to DBH, height, and volume in sixteen Pinus koraiensis plantations of Gangwon province region. Age class was diversely distributed from age class II (16 yr) to age class VIII (77 yr), and, in terms of site index, sixteen regions were superior: nine regions 'high', seven regions 'middle'. The distribution of DBH by sites appeared a bell-shaped curve, and the number of trees was the most in diameter section of 18-22 cm. The dispersion of DBH was various with age and widest ranging from 18 cm to 58 cm in age class VII-VIII. The distribution of height was also a bell-shaped curve with the smaller deviation than the distribution of DBH, and most of trees were in height section of 14-18 m. The correlation of DBH and height was high (r=0.75), and the volume bigger than 1.0 $m^3$ was presented from DBH 35 cm, height 20 m.

A Practical Hull Form Optimization Method Using the Parametric Modification Function (파라메트릭 변환함수를 이용한 선형최적화의 실용화에 관한 연구)

  • Kim, Hee-Jung;Choi, Hee-Jong;Chun, Ho-Hwan
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.5
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    • pp.542-550
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    • 2007
  • A geometry modification is one of main keys in achieving a successful optimization. The optimized hull form generated from the geometry modification should be a realistic, faired form from the ship manufacturing point of view. This paper presents a practical hull optimization procedure using a parametric modification function. In the parametric modification function method, the initial ship geometry was easily deformed according to the variations of design parameters. For example, bulbous bow can be modified with several parameters such as bulb area, bulb length, bulb height etc. Design parameters are considered as design variables to modify hull form, which can reduce the number of design variables in optimization process and hence reduce its time cost. To verify the use of the parametric modification function, optimization for KCS was performed at its design speed (FN=0.26) and the wave making resistance is calculated using a well proven potential code with fully nonlinear free surface conditions. The design variables used are key design parameters such as Cp curve, section shape and bulb shape. This study shows that the hull form optimized by the parametric modification function brings 7.6% reduction in wave making resistance. In addition, for verification and comparison purpose, a direct geometry variation method using a bell-shape modification function is used. It is shown that the optimal hull form generated by the bell-shaped modification function is very similar to that produced by the parametric modification function. However, the total running time of the parametric optimization is six times shorter than that of the bell shape modification method, showing the effectiveness and practicalness from a designer point of view in ship yards.

The Classification of Forest Communities by Cluster Analysis in Mt. Seokbyung Experimental Forest of Gangwon-Do

  • Chung, Sang-Hoon;Kim, Ji-Hong
    • Journal of Korean Society of Forest Science
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    • v.99 no.5
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    • pp.736-743
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    • 2010
  • This study examined the ecological attributes of classified forest community by cluster analysis in the mixed forest of Mt. Seokbyung Experimental Forest of Gangwon-Do. The vegetation data were collected in randomly established 51 sample plots (2.04 ha) and analysis adopted the cluster analysis, importance value index, and Shannon's diversity index. Main results were as follows; 1) the study area was classified into 4 clusters (A, B, C and D). 2) The cluster A was dominated by Pinus densiflora with an importance value of 71.6%. The most dominant species in the cluster B and cluster C were Larix leptolepis (57.1%) and Quercus mongolica (40.2%), respectively. Finally, The cluster D was dominated by P. densiflora (30.6%) and Q. mongolica (31.0%) with the mixed forest. 3) In the P. densiflora community (cluster A), distribution of DBH class showed a reverse J-shaped curve. In the L. leptolepis community (cluster B), individuals of dominant species had the bell-shaped distribution. Oak species indicated uniform distribution of DBH class (under 25 cm) in the mixed P. densiflora - Q. mongolica community (cluster D). 4) The species diversity index of the communities in descending order were: Pinus densiflora - Q. mongolica community > Larix leptolepis community > Pinus densiflora community > Quercus mongolica community.

Analysis of the reliability test data by log.normal probability paper (대수정규확률지를 이용한 수명시험 데이타의 해석방법)

  • 서호복
    • Journal of the korean Society of Automotive Engineers
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    • v.6 no.1
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    • pp.27-35
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    • 1984
  • 측정치의 데이터를 그림으로 나타내면 "종을 거꾸로 엎어놓은 모양(Bell Shaped Curve)"의 정 규분포를 이루는 것은 잘 알려진 사실이다. 그러나 수명시험데이터의 경우는 분포의 형이 찌 그러지게 된다. 수명분포는 Weibull분포에 따르므로 Weibull분포에 의한 해석을 하여야 하는 것이 원칙이나 대수정규분포로 근사시켜서 해석을 하여도 실용상 큰 지장은 없다. 수명시험의 경우는 파괴시험이며 장시간의 시험을 요하므로 적은 시료를 시험하는 것이 일반적이다. 특히 자동차공업에 있어서 수명시험은 중요한 품질특성의 하나이며 자동차의 조립에 쓰이는 수만개 부품의 수명을 예측하는 것은 매우 중요한 일이다. 따라서 이 적은 시료에서 얻어낸 데이터를 이용하여 "어떻게 수명의 예측을 올바르게 할 것인가\ulcorner" 하는 문제, 즉 신뢰성의 추정(Reliability Inference)과 로트의 판정이 중요한 문제인 것이다. 이러한 문제의 한 가지 방법으로서 외국에서 이미 널리 활용되고 있는 대수정규확율지를 이용한 수명데이터의 해석 방법을 소개하고자 한다.이터의 해석 방법을 소개하고자 한다.

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Peculiar Temperature Dependence on the Binding of Acid Dye by Crosslinked Poly(4-vinylpyridine) -The Effect of Inorganic Electrolytes- (가교폴리(4-비닐피리딘)과 산성염료와의 결합에 대한 특이한 온도의존성 - 무기전해질의 효과 -)

  • Lee, Suk Kee
    • Textile Coloration and Finishing
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    • v.9 no.2
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    • pp.25-31
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    • 1997
  • The extent of binding of acid dye (methyl orange) by crosslinked poly-(4-vinylpyridine) (CHP4VP) has been investigated in aqueous solution containing of inorganic electrolytes such as NaCl and NaSCN. It was found that the first binding constants ($K_{1}$) in the presence of the salts were smaller than those in the absence of the salts and the values of $K_{1}$ showed a bell-shaped curve against temperature. These results are discussed in terms of both the competition binding between the dye and salt anions for the crosslinked polymer and the change of hole size of CHP4VP with the addition of the salts.

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대관령 가축시험장 지양에 있어서의 몇 개의 방목지에 대한 생태학적 연구

  • 박봉규
    • Journal of Plant Biology
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    • v.5 no.3
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    • pp.1-4
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    • 1962
  • A district (Sae-Bong) and 13 district (Sae-Jang Dong) grassland could be divided into four type of Community: Miscanthus-Community, Glyceria-Community, Festuca-Community, and Plantago-Community. Chose 17 or 20 stands from each district A and B and calculated F.I. with the Curtis method, finally vegetational continuum could be recognized while discontinuous boundary line of species distribution could not be recognized. As a rule the distributional curve of species was binominal or bell shaped. It had a distribution pattern peculiar to itself. As to the relationship of cattles' density and vegetation. I found that the tendency of F.I. moving from small to large paralleled that of disturbance-pressure from weak to strong. Found that the more the steepness of environmental factors be controlled by a rule " from large to small", the more F.I. might be controlled by a rule "from small to large" and that pH, soil-moisture-content, loss on ignition was in relation with the steepness. with the steepness.

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The Study on How Art Nouveau and Art Deco's Influenced on Modern Fashion (아르누보와 아르데코 양식이 현대패션에 미친 영향에 대한연구)

  • Lee, Soon-Hong;Je, Yoon
    • Journal of the Korean Society of Costume
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    • v.44
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    • pp.235-247
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    • 1999
  • The influences of Art nouveau and Art Deco are as follow: The first, in the side of silhouette, hourglass style and bell shaped skirt influence on mordern fashion chiefly and S-curve style was mollified. Empire style, hobble style in art deco age are all showed diversely, in these styles especially boyish style give an outstanding trasts to modern fashion. The second, the color of art deco, characterized by pastel in art nouveau's color tone, original color and black and gold was reflected on the textile design and showed diversely in the color fo modern fashion. The third, in the field of textile and pattern, flower and plant which was a motive of art nouveau style, organic curve and geometrical pattern and exotic motive was seperately used with motive in the pattern and design of mordern. Textile of goldish and silver tone, metal stuff, lace embroidery, fur, artifical flower, feather etc. showed up on the many parts of clothing. Like this Art Nouveau and Art style not only had a great effect on the costume but also decorations and formative arts.

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Effects of pH on the Activity of Lipase Isolated from Milk Fat Globules (유지방구로부터 분리한 Lipase의 활성에 미치는 pH의 영향)

  • 김거유
    • Food Science of Animal Resources
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    • v.20 no.2
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    • pp.101-106
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    • 2000
  • Effects of Ph on the activity of lipase isolated from milk fat globules were investigated, using coconut oil and homogenized milk as substrate. With buttermilk as an enzyme source for coconut oil and homogenized milk substrates bell-shaped curve was observed at $37^{\circ}C$, having the highest activity at pH 9.5. However, lipase activity at $0^{\circ}C$ continuously increased up to pH 10.0. With the purified lipase for homogenized milk substrate, the bell -shaped curve and the highest activity were observed at $37^{\circ}C$ and pH 9.0, respectively. Lipase activity at $0^{\circ}C$ increased up to pH 10.0. The addition of bovine serum albumin to the coconut oil shifted the optimum pH to pH 9.5 and the activity remarkably declined at pH 10.0. The effect of pH on the stability of purified lipase was depending on the temperature. Wehn the lipase kept at $37^{\circ}C$ for 20 minutes, it's activity remarkably declined as pH increased: the activity at pH 10.0 was declined by 13% of that pH 8.5. However, when the lipase kept at $4^{\circ}C$ for 60minutes, the activity was stable within the range of pH 7.5 to 10.0.

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