• 제목/요약/키워드: Weight Function

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A Modification of the Combined Estimator of Inter- and Intra-Block Estimators under an Arbitrary Convex Loss Function

  • Lee, Young-Jo
    • Journal of the Korean Statistical Society
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    • 제16권1호
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    • pp.21-25
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    • 1987
  • The combined estimator of inter- and intra-block estimators in incomplete block designs can be expressed as a weighted average of two location estimators. The weight should be between 0 and 1. However, the negative variance component estimate could result in the weight being negative or larger than 1. In this paper, we show that if two location estimators have symmetric unimodal distributions, truncating the weight to 0 or 1 accordingly improves the combined estimator under an arbitrary convex loss function.

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선자세 및 보행 시 가방 형태와 무게 변화에 따른 족저압 비교 (Comparison of Foot Pressures in Stance and Gait as a Function of Type of Bag Carried and of Changing of Weight)

  • 공원태;이상열;김중휘
    • The Journal of Korean Physical Therapy
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    • 제22권2호
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    • pp.1-6
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    • 2010
  • Purpose: Our study sought to investigate differences in plantar foot pressure as a function of type of pack carried and of changing weight during gait and stance. Methods: Subjects were 40 students with no disabilities. Plantar foot pressure was measured with different types of packs carried and with changing weight of the pack during both gait and stance and while changing feet. During stance while carrying a satchel on the shoulder caused a disproportionate change in plantar foot pressure. An even great imbalance occurred for plantar foot pressure during gait. Results: Using a satchel can influence diseases such as scoliosis that are caused by unbalanced muscle activation and by a disproportionate distribution of the weight of the body. Conclusion: Knowing how to use a pack correctly and how to appropriately adjust the weight of bag should be taught.

가중함수법을 적용한 파이프라인 구조건전성평가에 관한 연구 (A Study on Structural Integrity Assessment of Pipeline using Weight Function Solution)

  • 노기섭;오동진;김명현
    • Journal of Welding and Joining
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    • 제35권1호
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    • pp.55-60
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    • 2017
  • There are many Industry Code and Standard (ICS) for Structural Integrity Assessment (SIA) on welded structure with defect. The general ICSs, such as R6, BS 7910 and API 579-1/ASME FFS-1, provide equations to determine the upper bound residual stress profiles based on collections from many literatures. However, these residual stress profiles used in the SIA cause the conservative design for welded structures. In this study, the structural integrity assessment for girth weld in pipeline has been conducted based on fracture mechanics. In addition, thermo-elastic plastic FE analysis was performed for evaluating the residual stress of girth weld in pipeline. The weight function solution is used to determine the stress intensity factor using the residual stress profile obtained by the FE analysis. This approach can account for redistribution and relaxation of residual stress as the defects grow. In order to the evaluate quantitative comparison between BS 7910 and weight function solution, structural integrity assessment determining allowable crack size on cracked pipe was performed with failure assessment diagram.

가중함수법에 의한 기계적 체결홀에 존재하는 타원호형: 관통균열의 음력확대계수 해석 (II) - 혼합모드 음력확대계수 해석 - (Stress Intensity Factor Analysis of Elliptical Arc Through Cracks at Mechanical Fastener Holes by Weight Function Method (II) - Mixed-Mode Stress Intensity Factor Analysis -)

  • 허성필;양원호;류명해
    • 대한기계학회논문집A
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    • 제25권10호
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    • pp.1671-1677
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    • 2001
  • Cracks at mechanical fastener holes usually nucleate as elliptical comer cracks at the faying surface of the mechanical joints and grow as elliptical arc through cracks. The weight function method for elliptical arc through cracks at mechanical fastener holes has been developed and verified in the part I of this study. In part H, applying the weight function method, the effects of the amount of clearance on the mixed-mode stress intensity (actors are investigated and the change of crack shape is predicted from the analysis for various crack shapes. The stress intensity factors leer inclined crack are analyzed and critical angle at which mode I stress intensity factor becomes maximum is determined.

A NOTE ON A GENERAL MAXIMAL OPERATOR

  • Kim, Kyung-Hwa
    • 대한수학회논문집
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    • 제10권1호
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    • pp.155-162
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    • 1995
  • Let $\mu$ be a positive Borel measure on $R^n$ which is positive on cubes. For any cube $Q \subset R^n$, a Borel measurable nonnegative function $\varphi_Q$, supported and positive a.e. with respect to $\mu$ in Q, is given. We consider a maximal function $$ M_{\mu}f(x) = sup \int \varphi Q$\mid$f$\mid$d_{\mu} $$ where the supremum is taken over all $\varphi Q$ such that $x \in Q$.

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WEIGHTED NORM ESTIMATE FOR THE GENERAL HAAR SHIFT OPERATORS VIA ITERATING BELLMAN FUNCTION METHOD

  • CHUNG, DAEWON
    • East Asian mathematical journal
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    • 제31권5호
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    • pp.635-652
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    • 2015
  • It is shown that for a general Haar shift operator, and a weight in the $A_2$ weight class, we establish the weighted norm estimate which linearly depends on $A_2$-characteristic $[w]_{A_2}$. Although the result is now well known, we introduce the new method, which is called the iterated Bellman function method, to provide the estimate.

MRA에서 특성값의 측정단위와 수치형태에 따른 종합 만족도 산출 방법 (Calculation of Composite Desirability Function According to the Measurement Unit and Numerical Pattern of Characteristics in the Multiple Response Analysis)

  • 최성운
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2009년도 추계학술대회
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    • pp.565-572
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    • 2009
  • This paper presents the optimization steps with weight and importance of estimated characteristic values in the multiresponse surface analysis(MRA). The research introduces the shape parameter of individual desirability function for relaxation and tighening of specification bounds. The study also proposes the combinded desirability function using arithmetic, geometric and harmonic means considering the measurement unit and numerical pattern.

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Weighted Support Vector Machines with the SCAD Penalty

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • 제20권6호
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    • pp.481-490
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    • 2013
  • Classification is an important research area as data can be easily obtained even if the number of predictors becomes huge. The support vector machine(SVM) is widely used to classify a subject into a predetermined group because it gives sound theoretical background and better performance than other methods in many applications. The SVM can be viewed as a penalized method with the hinge loss function and penalty functions. Instead of $L_2$ penalty function Fan and Li (2001) proposed the smoothly clipped absolute deviation(SCAD) satisfying good statistical properties. Despite the ability of SVMs, they have drawbacks of non-robustness when there are outliers in the data. We develop a robust SVM method using a weight function with the SCAD penalty function based on the local quadratic approximation. We compare the performance of the proposed SVM with the SVM using the $L_1$ and $L_2$ penalty functions.

Effects of a Real-time Plantar Pressure Feedback during Gait Training on the Weight Distribution of the Paralyzed Side and Gait Function in Stroke Patients

  • Kim, Tae-Wu;Cha, Yong-Jun
    • 대한물리의학회지
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    • 제17권2호
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    • pp.53-62
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    • 2022
  • PURPOSE: This study was conducted to investigate the effect of a real-time pressure feedback provided during gait training on the weight weight distribution of the inner part of mid-foot in paralyzed side and gait function in stroke patients. METHODS: A total of 24 patients with hemiplegic stroke in a rehabilitation hospital were randomly assigned to the experimental and control group. All participants (n = 24) performed 15 min of comprehensive rehabilitation therapy 5 times a week for a period of 4 weeks. Additionally, the experimental group and control group underwent gait training with a real time feedback and general gait training, respectively, for 15 min five times a week for 4 weeks. Weight distribution and gait function were measured before and after the 4-week training. RESULTS: Significant increases in the weight distribution (WD), stance time (ST) and step length (SL) of the paralyzed side, and a significant decrease in the 10 m walking test (10 MWT) observed after training in the two groups (p < .05). The experimental group showed larger changes in the all variables than the control group (WD, +10.5 kg vs. +8.8 kg, p < .05; ST, 12.8 s vs. 4.9 s, p < .05; SL, 4.9 cm vs. 1.7 cm, p < .05; 10 MWT, -3.5 s vs. -1.0 s, p < .05, respectively). CONCLUSION: Gait training with a real-time feedback might be effective in improving the normalization of weight bearing of the paralyzed lower extremity and gait function of stroke patients, and be considered to be a more effective gait training for improving the abilities than the general gait training.

녹지의 기능적 평가를 위한 지표 선정 및 평가체계 구축 - 산림형 녹지를 중심으로 - (Selection of Indicator and Establishment of System for a Functional Assessment of Green Space - Focused on Forest Green Space -)

  • 이우성
    • 한국환경복원기술학회지
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    • 제15권5호
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    • pp.31-48
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    • 2012
  • The purpose of this study is to select indicators by a methodical approach and to establish a functional assessment system as a basic study for planning and constructing green space of forest. The types of green space were divided into 6 classes based on theoretical reviews of literature and the functions of green space were restricted to 'nature-ecological function', 'environment-control function' and 'usage function'. As a result of the selection of indicators, 35 indicators were initially selected by theoretical review and these indicators were reduced to 29 through brainstorming. Also, these indicators were classified into three functions such as 12 indicators (nature-ecological function), 8 indicators (environment-control function), 6 indicators (usage function) by analysis of suitability. According to the result of selection of the optimum indicators using MCB (Multiple Comparisons with the Best treatment) analysis, the optimum indicators of 7, 5, and 4 respectively by each function were selected for forest green space. The results of AHP (Analytic Hierarchy Process) for the establishment of the assessment system in forest, the weight of nature-ecological function was evaluated highest at 0.558, while the weight of environment-control and usage function were calculated at each 0.277, 0.165. 'Naturality (0.189)', 'Carbon sink (0.235)', and 'Accessibility (0.354)' among indicators showed highest by each function. The weight of indicator and assessment system may be used as a valuable guideline in case of assessing synthetically green space within urban planning.