• Title/Summary/Keyword: Parametric transformation

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A Test of the Multivariate Normality Based on Likelihood Functions (가능도 함수를 기초로 한 다변량 정규성 검정)

  • Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.223-232
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    • 2002
  • The present paper develops a test of the multivariate normality based on nonlinear transformations and the likelihood function. For checking the normality, we test the shape parameter which indexes the family of transformations. A score test and a parametric bootstrap test are used to evaluate the discrepancy between the data and a multivariate normal distribution. In order to compare the performance of our test with the existing tests, a simulation study was carried out for several situations where nuisance parameters have to be estimated. The results showed that the proposed method is superior to the existing methods.

A Study on the Status of the 3D Printer in Furniture Design (가구디자인에서 3D Printer의 활용 현황에 관한 연구)

  • Kang, Hyun-dae
    • Journal of the Korea Furniture Society
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    • v.26 no.4
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    • pp.383-391
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    • 2015
  • In recent years the industry has utilized some of the 3D printers in the manufacturing process a trend which spread also a personal desktop 3D printer priced. The 3D printer can create the 3D object by using an ink or a laser instead of the powders, and various liquid plastic material. Properties of 3D printers are liquid, solid, powder and raw materials are also classified as varied. New ideas and processes in the form of designer furniture, becoming increasingly evolved through the development of materials and technologies. Science, art and technology combine to create a new aesthetic for the complex and free binding structure is a combination of design and materials are available in craft and the structure appears not showing. 3D scanning was not simply continue to develop as the production process by a variety of tools and content transformation. Create new mathematical tables and chairs designed by the theory fit the digital age shows a coupling structure with decoration into small pieces. It has created a new craft technique in the digital age.

Generalized Weighted Linear Models Based on Distribution Functions - A Frequentist Perspective (분포함수를 기초로 일반화가중선형모형)

  • 여인권
    • The Korean Journal of Applied Statistics
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    • v.17 no.3
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    • pp.489-498
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    • 2004
  • In this paper, a new form of linear models referred to as generalized weighted linear models is proposed. The proposed models assume that the relationship between the response variable and explanatory variables can be modelled by a distribution function of the response mean and a weighted linear combination of distribution functions of covariates. This form addresses a structural problem of the link function in the generalized linear models in which the parameter space may not be consistent with the space derived from linear predictors. The maximum likelihood estimation with Lagrange's undetermined multipliers is used to estimate the parameters and resampling method is applied to compute confidence intervals and to test hypotheses.

Detecting survival related gene sets in microarray analysis (마이크로어레이 자료에서 생존과 유의한 관련이 있는 유전자집단 검색)

  • Lee, Sun-Ho;Lee, Kwang-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.1
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    • pp.1-11
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    • 2012
  • When the microarray experiment developed, main interest was limited to detect differentially expressed genes associated with a phenotype of interest. However, as human diseases are thought to occur through the interactions of multiple genes within a same functional category, the unit of analysis of the microarray experiment expanded to the set of genes. For the phenotype of censored survival time, Gene Set Enrichment Analysis(GSEA), Global test and Wald type test are widely used. In this paper, we modified the Wald type test by adopting normal score transformation of gene expression values and developed a parametric test which requires much less computation than others. The proposed method is compared with other methods using a real data set of ovarian cancer and a simulation data set.

A Parametric Study on Bulkhead Plate of Orthotropic Steel Deck Bridge (강바닥판교의 벌크헤드 플레이트에 관한 매개변수 연구)

  • 공병승;김진만
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.333-339
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    • 2003
  • Recently, the bridges become greater according to development of a construction technology. This phenomenon requires long span bridge, so that increases the dead weight. The orthotropic steel deck bridges have much advantages such as the light dead weight and the reduction of construction period. And almost whole process of carried out is manufactured at factory, so it can cause the increase of quality authoritativeness. But orthotropic steel deck bridge is consist of structure by welding, it can not avoid a lot of welding jobs, defects and transformation by welding are becoming problem accordingly. Specially, topical stress concentration phenomenon in cross connection area of longitudinal and transverse rib causes fatigue failure. The Bulkhead Plate for prevention of this stress concentration phenomenon was applied by changing the orthotropic steel deck of Williamsburg bridge in USA. But, it is principle that a Bulkhead Plate is not established in the domestic design standard. Therefore, it is estimated that the study for installation of Bulkhead Plate is needed. This treatise with considering these circumstances proves efficiency of Bulkhead Plate and will be presented optimal design details through finite element analysis according to change the geometrical of Bulkhead Plate and tile cross-connection area of longitudinal and transverse rib.

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Energy-factor-based damage-control evaluation of steel MRF systems with fuses

  • Ke, Ke;Yam, Michael C.H.
    • Steel and Composite Structures
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    • v.22 no.3
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    • pp.589-611
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    • 2016
  • The primary objectives of this research are to investigate the energy factor response of steel moment resisting frame (MRF) systems equipped with fuses subject to ground motions and to develop an energy-based evaluation approach for evaluating the damage-control behavior of the system. First, the energy factor of steel MRF systems with fuses below the resilience threshold is derived utilizing the energy balance equation considering bilinear oscillators with significant post-yielding stiffness ratio, and the effect of structural nonlinearity on the energy factor is investigated by conducting a parametric study covering a wide range of parameters. A practical transformation approach is also proposed to associate the energy factor of steel MRF systems with fuses with classic design spectra based on elasto-plastic systems. Then, the energy balance is extended to structural systems, and an energy-based procedure for damage-control evaluation is proposed and a damage-control index is also derived. The approach is then applied to two types of steel MRF systems with fuses to explore the applicability for quantifying the damage-control behavior. The rationality of the proposed approach and the accuracy for identifying the damage-control behavior are demonstrated by nonlinear static analyses and incremental dynamic analyses utilizing prototype structures.

On the receding contact between a two-layer inhomogeneous laminate and a half-plane

  • Liu, Zhixin;Yan, Jie;Mi, Changwen
    • Structural Engineering and Mechanics
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    • v.66 no.3
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    • pp.329-341
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    • 2018
  • This paper considers the smooth receding contact problem between a homogeneous half-plane and a composite laminate composed of an inhomogeneously coated elastic layer. The inhomogeneity of the elastic modulus of the coating is approximated by an exponential function along the thickness dimension. The three-component structure is pressed together by either a concentrated force or uniform pressures applied at the top surface of the composite laminate. Both semianalytical and finite element analysis are performed to solve for the extent of contact and the contact pressure. In the semianalytical formulation, Fourier integral transformation of governing equations and boundary conditions leads to a singular integral equation of Cauchy-type, which can be numerically integrated by Gauss-Chebyshev quadrature to a desired degree of accuracy. In the finite element modeling, the functionally graded coating is divided into homogeneous sublayers and the shear modulus of each sublayer is assigned at its lower boundary following the predefined exponential variation. In postprocessing, the stresses of any node belonging to sublayer interfaces are averaged over its surrounding elements. The results obtained from the semianalytical analysis are successfully validated against literature results and those of the finite element modeling. Extensive parametric studies suggest the practicability of optimizing the receding contact peak stress and the extent of contact in multilayered structures by the introduction of functionally graded coatings.

Performance Evaluation of R&D Commercialization : A DEA-Based Three-Stage Model of R&BD Performance (연구개발 사업화 성과 평가 : DEA 기반 3단계 R&BD 성과 모형)

  • Jeon, Ikjin;Lee, Hakyeon
    • Journal of Korean Institute of Industrial Engineers
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    • v.41 no.5
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    • pp.425-438
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    • 2015
  • This study proposes a three-stage model of R&BD performance which captures commercialization outcomes as well as conventional R&D performance. The model is composed of three factors : inputs (R&D budgets and researchers), outputs (patents and papers), and outcomes (technical fees, products sales, and cost savings). Three stages are defined for each transformation process between the three factors : efficiency stage from input to output (stage 1), effectiveness stage from output to outcome (stage 2), and productivity stage from input to outcome (stage 3). The performance of each stage is measured by data envelopment analysis (DEA). DEA is a non-parametric efficiency measurement technique that has widely been used in R&D performance measurement. We measure the performance of 171 projects of 6 public R&BD programs managed by Seoul Business Agency using the proposed three-stage model. In order to provide a balanced and holistic view of R&BD performance, the R&BD performance map is also constructed based on performance of efficiency and productivity stages.

Development of Nude Pattern on Top for Producing Parametric Production Patterns (파라메트릭 프로덕션 패턴 제작을 위한 상의 누드 패턴 개발)

  • Kim, Na Rae;Nam, Yun Ja;Park, Jinhee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.43 no.5
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    • pp.711-724
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    • 2019
  • The automatic drafting of clothing patterns can be realized through an Apparel Cad System when the clothing pattern has a pattern expression in human dimensions. However, it is difficult to apply automatic systems because it is difficult to express the ready-to-wear of various complex designs with one system. This study develops ready-to-wear patterns in an automatic drafting style and also develops nude patterns with human dimension-based drafting styles that can be applied to enable the setting of margins by design. For this purpose, radial body length measurement items and measurement methods were newly defined for female standard dummy and nude pattern systems. The institutional program was developed through the principle of a nude pattern system which is different from the pattern system of the existing system. The nude pattern developed in this study represents a basis and framework for the gradual transformation of the production pattern into the automatic system of the future and as a pattern having an institutional formula based on human dimensions.

Functional Brain Mapping Using $H_2^{15}O$ Positron Emission Tomography ( I ): Statistical Parametric Mapping Method ($H_2^{15}O$ 양전자단층촬영술을 이용한 뇌기능 지도 작성(I): 통계적 파라메터 지도작성법)

  • Lee, Dong-Soo;Lee, Jae-Sung;Kim, Kyeong-Min;Chung, June-Key;Lee, Myung-Chul
    • The Korean Journal of Nuclear Medicine
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    • v.32 no.3
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    • pp.225-237
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    • 1998
  • Purpose: We investigated the statistical methods to compose the functional brain map of human working memory and the principal factors that have an effect on the methods for localization. Materials and Methods: Repeated PET scans with successive four tasks, which consist of one control and three different activation tasks, were performed on six right-handed normal volunteers for 2 minutes after bolus injections of 925 MBq $H_2^{15}O$ at the intervals of 30 minutes. Image data were analyzed using SPM96 (Statistical Parametric Mapping) implemented with Matlab (Mathworks Inc., U.S.A.). Images from the same subject were spatially registered and were normalized using linear and nonlinear transformation methods. Significant difference between control and each activation state was estimated at every voxel based on the general linear model. Differences of global counts were removed using analysis of covariance (ANCOVA) with global activity as covariate. Using the mean and variance for each condition which was adjusted using ANCOVA, t-statistics was performed on every voxel To interpret the results more easily, t-values were transformed to the standard Gaussian distribution (Z-score). Results: All the subjects carried out the activation and control tests successfully. Average rate of correct answers was 95%. The numbers of activated blobs were 4 for verbal memory I, 9 for verbal memory II, 9 for visual memory, and 6 for conjunctive activation of these three tasks. The verbal working memory activates predominantly left-sided structures, and the visual memory activates the right hemisphere. Conclusion: We conclude that rCBF PET imaging and statistical parametric mapping method were useful in the localization of the brain regions for verbal and visual working memory.

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