• 제목/요약/키워드: linear combination of the means.

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NONINFORMATIVE PRIORS FOR LINEAR COMBINATION OF THE INDEPENDENT NORMAL MEANS

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Statistical Society
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    • 제33권2호
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    • pp.203-218
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    • 2004
  • In this paper, we develop the matching priors and the reference priors for linear combination of the means under the normal populations with equal variances. We prove that the matching priors are actually the second order matching priors and reveal that the second order matching priors match alternative coverage probabilities up to the second order (Mukerjee and Reid, 1999) and also, are HPD matching priors. It turns out that among all of the reference priors, one-at-a-time reference prior satisfies a second order matching criterion. Our simulation study indicates that one-at-a-time reference prior performs better than the other reference priors in terms of matching the target coverage probabilities in a frequentist sense. We compute Bayesian credible intervals for linear combination of the means based on the reference priors.

케이블-댐퍼 시스템의 전체감쇠비 해석을 통한 선형조합 접근법의 유효성 (Validity of Linear Combination Approach based on Net Damping Analysis of Cable-Damper System)

  • 김현겸;황재웅;이명재
    • 대한토목학회논문집
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    • 제29권5A호
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    • pp.467-475
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    • 2009
  • 기존의 연구들은 댐퍼만에 의한 부가감쇠비의 Universal Curve만을 제공하였기 때문에 실무에서는 케이블의 구조감쇠 및 공기역학적감쇠와 같은 자체감쇠를 독립적으로 고려하곤 한다. 즉, 케이블에 발생하는 자체감쇠비와 댐퍼에 의해 부여되는 Universal Curve로부터 얻은 부가감쇠비를 산술적으로 합하여 케이블-댐퍼 시스템의 전체감쇠비를 결정해 왔다. 하지만 이러한 선형조합 접근법은 이론적인 근거가 미약하며 관련된 연구도 찾아볼 수 없는 실정이므로 이에 관한 유효성을 검증해 볼 필요가 있다. 이것을 위해 본 연구에서는 자체감쇠를 고려한 전체감쇠비 해석법을 개발하여 정해를 제시하고 이것을 기존의 선형조합 접근법에 의해 얻어진 전체감쇠비와 비교하여 선형조합 접근법의 유효성 여부를 검증하였다. 본 연구의 결과에 의하면, 강성은 작고 최적감쇠계수와 비슷한 감쇠계수를 갖는 댐퍼가 지점에서 가깝게 설치되어 있으며, 케이블의 진동이 저차 모드 위주로 발생하고 케이블의 자체감쇠가 크지 않은 일반적인 풍환경에서는 기존의 연구그룹에서 제시하는 연구결과나 선형조합 접근법을 적용하는 것에 무리가 따르지 않는다. 하지만 외부댐퍼나 예기치 못한 고차 진동모드의 발생, 강성이 큰 댐퍼가 사용되는 경우에는 본 연구를 적용하는 것이 바람직한 것으로 나타났다. 본 연구는 케이블의 자체감쇠를 고려한 전체감쇠비의 정해를 제시하고 이것을 토대로 선형조합 접근법에 대한 적용근거를 제시하였다는 점에서 의미를 찾을 수 있다. 차후 본 연구를 발전시켜 공기역학적감쇠에 대응하는 최적감쇠계수를 실시간으로 제시할 수 있게 된다면 MR(Magneto-rheological) 댐퍼와 같은 준능동 댐퍼의 케이블-댐퍼 시스템 제어의 중요한 알고리즘이 될 것으로 기대된다.

선형 퍼지추론을 이용한 뉴로퍼지 네트워크의 설계와 소프트웨어 공학으로의 응용 (Design of Neurofuzzy Networks by Means of Linear Fuzzy Inference and Its Application to Software Engineering)

  • 박병준;박호성;오성권
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 하계학술대회 논문집 D
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    • pp.2818-2820
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    • 2002
  • In this paper, we design neurofuzzy networks architecture by means of linear fuzzy inference. The proposed neurofuzzy networks are equivalent to linear fuzzy rules, and the structure of these networks is composed of two main substructures, namely premise part and consequence part. The premise part of neurofuzzy networks use fuzzy space partitioning in terms of all variables for considering correlation between input variables. The consequence part is networks constituted as first-order linear form. The consequence part of neurofuzzy networks in general structure(for instance ANFIS networks) consists of nodes with a function that is a linear combination of input variables. But that of the proposed neurofuzzy networks consists of not nodes but networks that are constructed by connection weight and itself correspond to a linear combination of input variables functionally. The connection weights in consequence part are learned by back-propagation algorithm. For the evaluation of proposed neurofuzzy networks. The experimental results include a well-known NASA dataset concerning software cost estimation.

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Characterization of Korean Clays and Pottery by Neutron Activation Analysis(II). Characterization of Korean Potsherds

  • Lee, Chul;Kwun, Oh-Cheun;Kim, Seung-Won;Lee, Ihn-Chong;Kim, Nak-Bae
    • Bulletin of the Korean Chemical Society
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    • 제7권5호
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    • pp.347-353
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    • 1986
  • Fisher's discriminant method has been applied to the problem of the classification of Korean potsherds, using their elemental composition as analyzed by neutron activation analysis. A combination of analytical data by means of statistical linear discriminant analysis has resulted in removal of redundant variables, optimal linear combination of meaningful variables and formulation of classification rules.

뉴런 활성화 경사 최적화를 이용한 개선된 플라즈마 모델 (An improved plasma model by optimizing neuron activation gradient)

  • 김병환;박성진
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.20-20
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    • 2000
  • Back-propagation neural network (BPNN) is the most prevalently used paradigm in modeling semiconductor manufacturing processes, which as a neuron activation function typically employs a bipolar or unipolar sigmoid function in either hidden and output layers. In this study, applicability of another linear function as a neuron activation function is investigated. The linear function was operated in combination with other sigmoid functions. Comparison revealed that a particular combination, the bipolar sigmoid function in hidden layer and the linear function in output layer, is found to be the best combination that yields the highest prediction accuracy. For BPNN with this combination, predictive performance once again optimized by incrementally adjusting the gradients respective to each function. A total of 121 combinations of gradients were examined and out of them one optimal set was determined. Predictive performance of the corresponding model were compared to non-optimized, revealing that optimized models are more accurate over non-optimized counterparts by an improvement of more than 30%. This demonstrates that the proposed gradient-optimized teaming for BPNN with a linear function in output layer is an effective means to construct plasma models. The plasma modeled is a hemispherical inductively coupled plasma, which was characterized by a 24 full factorial design. To validate models, another eight experiments were conducted. process variables that were varied in the design include source polver, pressure, position of chuck holder and chroline flow rate. Plasma attributes measured using Langmuir probe are electron density, electron temperature, and plasma potential.

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An Orthogonal Representation of Estimable Functions

  • Yi, Seong-Baek
    • Communications for Statistical Applications and Methods
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    • 제15권6호
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    • pp.837-842
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    • 2008
  • Students taking linear model courses have difficulty in determining which parametric functions are estimable when the design matrix of a linear model is rank deficient. In this note a special form of estimable functions is presented with a linear combination of some orthogonal estimable functions. Here, the orthogonality means the least squares estimators of the estimable functions are uncorrelated and have the same variance. The number of the orthogonal estimable functions composing the special form is equal to the rank of the design matrix. The orthogonal estimable functions can be easily obtained through the singular value decomposition of the design matrix.

Characterization of Korean Porcelainsherds by Neutron Activation Analysis

  • Lee, Chul;Kang, Hyung-Tae;Kim, Seung-Won
    • Bulletin of the Korean Chemical Society
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    • 제9권4호
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    • pp.223-231
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    • 1988
  • Some pattern recognition methods have been used to characterize Korean ancient porcelainsherds using their elemental composition as analyzed by instrumental neutron activation analysis. A combination of analytical data by means of statistical linear discriminant analysis(SLDA) has resulted in removal of redundant variables, optimal linear combination of meaningful variables and formulation of classification rules. The plot in the first-to-second discriminant scores has shown that the three distinct territorial regions exist among porcelainsherds of Kyungki, Chunbuk-Chungnam, and Chunnam, with respective efficiencies of 20/30, 22/27 and 14/15. Similar regions have been found to exist among punchong porcelain and ceradonsherds of Kyungki, Chungnam and Chunbuk, with respective efficiencies of 7/9, 15/16 and 6/6. Classification has been further attempted by statistical isolinear multiple component analysis(SIMCA), using the sample set selected appropriately through SLDA as training set. For this purpose, all analytical data have been used. An agreement has generally been found between two methods, i.e., SLDA and SIMCA.

Main Gene Combinations and Genotype Identification of Hanwoo Quality with SNPHarvester

  • Bae, Jae-Young;Lee, Jea-Young
    • Communications for Statistical Applications and Methods
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    • 제19권6호
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    • pp.799-808
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    • 2012
  • It is known that human disease and the economic traits of livestock are significantly affected by a gene combination effect rather than a single gene effect. Existing methods to study this gene combination effect have disadvantages such as heavy computing, cost and time; therefore, to overcome those drawbacks, the SNPHarvester was developed to find the main gene combinations. In this paper, we looked for gene combinations using an adjusted linear regression model. This research finds that superior gene combinations which are related to the quality of the Korean beef cattle among sets of SNPs using SNPHarvester. We also identify the superior genotypes using a decision tree that can enhance the various qualities of Korean beef among selected a SNP combination.

Sensorless Passivity Based Control of a DC Motor via a Solar Powered Sepic Converter-Full Bridge Combination

  • Linares-Flores, Jesus;Sira-Ramirez, Hebertt;Cuevas-Lopez, Edel F.;Contreras-Ordaz, Marco A.
    • Journal of Power Electronics
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    • 제11권5호
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    • pp.743-750
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    • 2011
  • This article deals with the sensor-less control of a DC Motor via a SEPIC Converter-Full Bridge combination powered through solar panels. We simultaneously regulate, both, the output voltage of the SEPIC-converter to a value larger than the solar panel output voltage, and the shaft angular velocity, in any of the turning senses, so that it tracks a pre-specified constant reference. The main result of our proposed control scheme is an efficient linear controller obtained via Lyapunov. This controller is based on measurements of the converter currents and voltages, and the DC motor armature current. The control law is derived using an exact stabilization error dynamics model, from which a static linear passive feedback control law is derived. All values of the constant references are parameterized in terms of the equilibrium point of the multivariable system: the SEPIC converter desired output voltage, the solar panel output voltage at its Maximun Power Point (MPP), and the DC motor desired constant angular velocity. The switched control realization of the designed average continuous feedback control law is accomplished by means of a, discrete-valued, Pulse Width Modulation (PWM). Experimental results are presented demonstrating the viability of our proposal.

이중 후방 응력 경화 모델을 이용한 주기 하중에서의 래쳐팅 거동 현상 연구 (Simulation of Ratcheting Behavior under Stress Controlled Cyclic Loading using Two-Back Stress Hardening Constitutive Relation)

  • 홍성인;황두순;윤수진
    • 소성∙가공
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    • 제17권1호
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    • pp.19-26
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    • 2008
  • In the present work, the ratcheting behavior under uniaxial cyclic loading is analyzed. A comparison between the published and the results from the present model is also included. In order to simulate the ratcheting behavior, Two-Back Stress model is proposed by combining the non-linear Armstrong-Frederick rule and the non-linear Phillips hardening rule based on kinematic hardening equation. It is shown that some ratcheting behaviors can be obtained by adjusting the control material parameters and various evolutions of the kinematic hardening parameter can be obtained by means of simple combination of hardening rules using simple rule of mixtures. The ultimate back stress is also derived for the present combined kinematic hardening models.