• Title/Summary/Keyword: skew-normal

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A Study of the effective approach method for median control chart of non-normally distributed process (비정규분포공정에서 계량치관리를 위한 메디안 특수 관리도의 모형설계와 그 적용에 관한 실용에 연구)

  • 신용백
    • Journal of the Korean Professional Engineers Association
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    • v.21 no.4
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    • pp.19-32
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    • 1988
  • Whereas is non-symmetrical distribution manufacturing process the traditional X-chart by Shewhart is not plotted relatively on the central line but plotted on the skew of upper-hand side or lower-hand side. That is to say, for the purpose of producing either upper-specification-oriented items or lower-specification-oriented items, and when we carry out tighter control so as to have them pass only its specifications, the distribution shape naturally has a non-normal distribution. In the Shewhart X-chart, which is the most widely used one in Korea, such skewed distributions make tile plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such short comings is non-normally distributed processes, a distribution-free type of confidence interval can be used, which should be haled on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for non-normal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, and Truncated-normal distributions, may be easily analyzed. To enhance this improvement, I proved the property of practical applications of control chart method by comparing and analyzing the case studies of practical application of special purpose control chart method, and also by introducing the new designed median control chart.

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A Study on the Special Purpose Control Chart for Non-normal Distribution (비정규분포공정(非正規分布工程)에서 특수관리도(特殊管理圖)의 적용연구(適用硏究))

  • Sin, Yong-Baek;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.14 no.1
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    • pp.11-18
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    • 1986
  • Whereas in non-symmetrical distribution manufacturing process they are not plotted relatively on the centeral line but plotted on the skew of right-hand side or left-hand side. That is to say, for the prupose of producing either upper-specification-oriented items or lower-specification-oriented items, and when we carry out tighter control so as to have them pass only its specifications, the distribution shape naturally has a non-normal distribution. In these cases, we could use either compressed control limits or variable transformed logarithm control charts. It the above mentioned methods were not available, we should use special purpose control chart-Mode control chart or Gram-Charlier control chart. These are proper methods for manufacturing process control which uses control chart method. In spite of these methods, domestic manufacturing and mining companies are utterly ignorant about these methods. That invites practical problems in their companies. To enhance this improvements, I proved the property of practical applications of control chart method by comparing and analyzing the case studies of practical application of speical purpose control chart method, and also by introducing the application methods.

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Theoretical and experimental study of elliptical bulge test by using a rigid plastic finite element method (강소성 유한요소법을 이용한 타원벌지시험의 이론 및 실험적 연구)

  • 정완진;양동열;한규택;백남주;김용진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.397-408
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    • 1988
  • The study is concerned with the theoretical and experimental investigation of the elliptical bulge test. The elliptical bulge test is analyzed by using a rigid-plastic finite element method incorporating large deformation and normal anisotropy. Thin elliptical diaphragms of mild steel are bulged for three aspect ratios. The contact problem the die round and the sheet is successfully solved by using a skew boundary condition. It is shown that the proper consideration of die radius and normal anisotropy is very significant. The relation between bulging pressure and deformation is obtained. It has been found that the pole is nearly under proportional straining during deformation. The instability criterion by maximum load condition enables the effective prediction of instability pressure. The computional results are in good agreement with experimental results and to be very useful for a better understanding of the elliptical bulge test.

Bending analysis of doubly curved FGM sandwich rhombic conoids

  • Ansari, Md I.;Kumar, Ajay;Bandyopadhyaya, Ranja
    • Structural Engineering and Mechanics
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    • v.71 no.5
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    • pp.469-483
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    • 2019
  • In this paper, an improved mathematical model is presented for the bending analysis of doubly curved functionally graded material (FGM) sandwich rhombic conoids. The mathematical model includes expansion of Taylor's series up to the third degree in thickness coordinate and normal curvatures in in-plane displacement fields. The condition of zero-transverse shear strain at upper and lower surface of rhombic conoids is implemented in the present model. The newly introduced feature in the present mathematical model is the simultaneous inclusion of normal curvatures in deformation field and twist curvature in strain-displacement equations. This unique introduction permits the new 2D mathematical model to solve problems of moderately thick and deep doubly curved FGM sandwich rhombic conoids. The distinguishing feature of present shell from the other shells is that maximum transverse deflection does not occur at its center. The proposed new mathematical model is implemented in finite element code written in FORTRAN. The obtained numerical results are compared with the results available in the literature. Once validated, the current model was employed to solve numerous bending problems by varying different parameters like volume fraction indices, skew angles, boundary conditions, thickness scheme, and several geometric parameters.

Operator Inequalities Related to Angular Distances

  • Taba, Davood Afkhami;Dehghan, Hossein
    • Kyungpook Mathematical Journal
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    • v.57 no.4
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    • pp.623-630
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    • 2017
  • For any nonzero elements x, y in a normed space X, the angular and skew-angular distance is respectively defined by ${\alpha}[x,y]={\parallel}{\frac{x}{{\parallel}x{\parallel}}}-{\frac{y}{{\parallel}y{\parallel}}}{\parallel}$ and ${\beta}[x,y]={\parallel}{\frac{x}{{\parallel}y{\parallel}}}-{\frac{y}{{\parallel}x{\parallel}}}{\parallel}$. Also inequality ${\alpha}{\leq}{\beta}$ characterizes inner product spaces. Operator version of ${\alpha}$ has been studied by $ Pe{\check{c}}ari{\acute{c}}$, $ Raji{\acute{c}}$, and Saito, Tominaga, and Zou et al. In this paper, we study the operator version of ${\beta}$ by using Douglas' lemma. We also prove that the operator version of inequality ${\alpha}{\leq}{\beta}$ holds for commutating normal operators. Some examples are presented to show essentiality of these conditions.

LARGE SCHRÖDER PATHS BY TYPES AND SYMMETRIC FUNCTIONS

  • An, Su Hyung;Eu, Sen-Peng;Kim, Sangwook
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.1229-1240
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    • 2014
  • In this paper we provide three results involving large Schr$\ddot{o}$der paths. First, we enumerate the number of large Schr$\ddot{o}$der paths by type. Second, we prove that these numbers are the coefficients of a certain symmetric function defined on the staircase skew shape when expanded in elementary symmetric functions. Finally we define a symmetric function on a Fuss path associated with its low valleys and prove that when expanded in elementary symmetric functions the indices are running over the types of all Schr$\ddot{o}$der paths. These results extend their counterparts of Kreweras and Armstrong-Eu on Dyck paths respectively.

A Study on the Fatigue Strength of Highly Skewed Propeller (하이 스큐드 프로펠러의 피로강도에 관한 연구)

  • Kang Nak-Hwoun;Kim Jong-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.7
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    • pp.1131-1137
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    • 2004
  • Recently there has been a remarkable increase in the number of high speed and large ships and the high power involved for propulsion of above ships has brought high pitch ratio and highly skewed propeller. The recent tendency toward highly skewed propeller has increased the load on propeller blades, and the fatigue strength of propeller blades has become the critical point in design of propellers for ships. In this paper the effect of stress ratio and skew angle on the fatigue strength of highly skewed propeller, the statistical inference on the total revolutions of highly skewed propeller for 20 years under normal sea going state. and so on have been discussed. On the basis of above discussions, the highly skewed propeller blade thicknesses by the rules of classification society and the standards of manufacturer in country were compared and reviewed.

The sectional analysis of auto-body panel stamping process and three-dimensional shape composition (차체판넬 스템핑공정의 단면해석과 3차원 형상합성)

  • Jung, Dong-Won;Yang, Dong-Yol
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.101-107
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    • 1997
  • A sectional analysis of auto-body panel stamping is carried out by using the rigid-plastic FEM based on the membrane theory. The auto-body panel material is assumed to possess normal anisotropy and to obey Hill's new yield criterion and its associated flow rule. A method of contact treatment is proposed in which the skew boundary condition for arbitarily shaped tools is successively used during iteration. Deformation of each section of trunk-lid panel is simulated and composed to get the three-dimensional shape by using CAD technique. It was shown that the composition of the two-dimensional section analysis gives almost the same results as the full three-dimensional analysis.

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Adaptive Design Techniques for High-speed Toggle 2.0 NAND Flash Interface Considering Dynamic Internal Voltage Fluctuations (고속 Toggle 2.0 낸드 플래시 인터페이스에서 동적 전압 변동성을 고려한 설계 방법)

  • Yi, Hyun Ju;Han, Tae Hee
    • Journal of the Institute of Electronics and Information Engineers
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    • v.49 no.9
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    • pp.251-258
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    • 2012
  • Recently, NAND Flash memory structure is evolving from SDR (Single Data Rate) to high speed DDR(Double Data Rate) to fulfill the high performance requirement of SSD and SSS. Accordingly, the proper ways of transferring data that latches valid data stably and minimizing data skew between pins by using PHY(Physical layer) circuit techniques have became new issues. Also, rapid growth of speed in NAND flash increases the operating frequency and power consumption of NAND flash controller. Internal voltage variation margin of NAND flash controller will be narrowed through the smaller geometry and lower internal operating voltage below 1.5V. Therefore, the increase of power budge deviation limits the normal operation range of internal circuit. Affection of OCV(On Chip Variation) deteriorates the voltage variation problem and thus causes internal logic errors. In this case, it is too hard to debug, because it is not functional faults. In this paper, we propose new architecture that maintains the valid timing window in cost effective way under sudden power fluctuation cases. Simulation results show that the proposed technique minimizes the data skew by 379% with reduced area by 20% compared to using PHY circuits.

Development of the Korean Version of the Social Functioning Scale in the Schizophrenics : A Study on the Reliability and Validity (정신분열병 환자의 한국어판 사회기능척도 개발 : 신뢰도 및 타당도 연구)

  • Kim, Chul-Kwon;Lee, Ji-Ah
    • Korean Journal of Biological Psychiatry
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    • v.16 no.2
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    • pp.76-111
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    • 2009
  • Objectives : The purpose of this study was to develop the Korean version of the Social Functioning Scale (KSFS) in the patients with schizophrenia. Methods : KSFS was administered to 90 schizophrenic patients and 80 their parents and 90 normal controls for examining the reliability and validity. Results : Data analysis showed statistically significant reliabilities and validities of KSFS. The test-retest reliability, rater vs. self-report reliability, and internal consistency for total scores of KSFS were 0.93, 0.44 and 0.94 respectively. Evidence for discriminant validity of KSFS comes from the results that the mean scores of schizophrenic patients were significantly higher than those of normal controls. Construct validity was assessed by calculating the 7 inter-areas correlations of the KSFS, and all areas were statistically significant. Significant correlations between the total scores of KSFS and those of SOFAS lend support for the concurrent validity of this instrument. Factor analyses were performed and two factors were extracted accounting for 63.7% of the variance. Sensitivity was assessed indirectly via the distribution and range of scores on the SFS. The normal control group showed a distribution around a higher mean with a moderate positive skew. Conclusion : KSFS was found to be a valid, reliable, and sensitive instrument which can be used to evaluate the degree of social functioning in the patients with schizophrenia.

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