• Title/Summary/Keyword: weighted least square estimation

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Non-uniform Weighted Vibration Target Positioning Algorithm Based on Sensor Reliability

  • Yanli Chu;Yuyao He;Junfeng Chen;Qiwu Wu
    • Journal of Information Processing Systems
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    • v.19 no.4
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    • pp.527-539
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    • 2023
  • In the positioning algorithm of two-dimensional planar sensor array, the estimation error of time difference-ofarrival (TDOA) algorithm is difficult to avoid. Thus, how to achieve accurate positioning is a key problem of the positioning technology based on planar array. In this paper, a method of sensor reliability discrimination is proposed, which is the foundation for selecting positioning sensors with small error and excellent performance, simplifying algorithm, and improving positioning accuracy. Then, a positioning model is established. The estimation characteristics of the least square method are fully utilized to calculate and fuse the positioning results, and the non-uniform weighting method is used to correct the weighting factors. It effectively handles the decreased positioning accuracy due to measurement errors, and ensures that the algorithm performance is improved significantly. Finally, the characteristics of the improved algorithm are compared with those of other algorithms. The experiment data demonstrate that the algorithm is better than the standard least square method and can improve the positioning accuracy effectively, which is suitable for vibration detection with large noise interference.

State Estimation Considering Current Measurement Component and Bad Data Detection (전류측정성분과 불량정보 검출을 고려한 전력계통에서의 상태추정에 관한 연구)

  • 김준현;이종범
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.7
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    • pp.261-271
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    • 1986
  • This paper describes a method for the state estimation considering current measurement component and detection of the bad data. The state values are estimated by weighted least square method in which measurement vector included bus injection current and line current. The bad data are detected using standardized variable of normal distribution and identified using sensitivity coefficients. When the bad data were occured by the bad measurement values. The results of the application to the model power system reveal the effectiveness of the presented algorithms.

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State Estimation in Power System by Efficient Elimination Method of Bad Data (효과적인 불량정보제거법에 의한 전력계통에서의 장웅추정에 관한 연구)

  • 김준현;이종범
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.33 no.9
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    • pp.364-371
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    • 1984
  • This paper describes a method for the state estimation in electric power system. The state values are estimated through the weighted least square method considering the bad data. Then, the bad data are identified by using sensitivity coefficients of power system after being detected the bad data through the distribution of T. This method was applied to the model power system, and, the results of test for proposed method are given.

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Hierarchical State Estimation in Power System by Modified Fast Decoupled State Estimation Method and System Decomposition (전력계통에서의 수정고속분할 추정법과 계통분할에 의한 계산적 장웅추정에 관한 연구)

  • 김준현;이종범
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.5
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    • pp.201-209
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    • 1985
  • This paper describes a method for the state estimation by a modified fast decoupled estimation method and system decomposition. The state values are gained by using the weighted least square estimation method, fast decoupled estimation method, and modified fast decoupled estimation method. The estimated values of each method were compared about effectiveness of state values, respectively. This paper investigated the effects of impedance of well-condition or ill-condition into lines. The characteristics of state estimation were gained through hierarchical state estimation. Each method was applied to three model power systems, and, the results of test for the proposed method are given.

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Substitution Elasticity and Gains from Trade Variety in South Korea

  • Kichun Kang
    • Journal of Korea Trade
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    • v.26 no.7
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    • pp.1-18
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    • 2022
  • Purpose - Recent international studies have largely focused on measuring the welfare gains from increased trade varieties. To adequately capture the variety gains, it is of importance to estimate the elasticity of substitution between varieties of trade goods because it is one of the key parameters to determine the magnitude of the variety gains. Using the import data of South Korea, this paper shows that the elasticities vary substantially across the estimators, which affects the magnitude of the gains from trade. Design/methodology - Empirical studies working on the gains from trade variety have heavily depended on the estimation methods for the elasticity of substitution between trade varieties, developed by Feenstra (1994) and refined by Broda and Weinstein (2006). We estimate and compare the estimated elasticities for 8,945 HS 10 goods of South Korea, obtained from the three estimation methods: Feenstra's weighted least square (F-WLS), Feenstra's feasible generalized least square (F-FGLS), and Broda and Weinstein's feasible generalized least square (BW-FGLS). Findings - Using the estimated elasticities from the F-FGLS, considered as a suitable estimator, A typical Korean consumer saved 228 dollars per year by the greater access to new import varieties. This leads to gains from imported variety of 2.06% of GDP. In 2017, a typical Korean consumer would gain by 611 dollars, compared with 2000. China is the country with the largest contribution (28.4%), followed by Japan and USA. About 50% of all the welfare gains come from the imports from the three main trade partners. The Southern Asian countries are more important to the South Korean welfare gain than the Western European countries. Originality/value - Existing studies have chosen one of the methods without any criterion for the choice and then estimated the elasticities of substitution between varieties of trade goods. This paper focuses on the estimation specifications and methods as the cause of the disparity in estimated elasticities and welfare gains from trade variety. According to the Ramsey RESET and White tests, the F-FGLS estimates are relatively better compared to the F-WLS and BW-FGLS estimates. As another contribution, this paper provides the first measure of the welfare gains from trade variety for South Korea, using the estimated elasticities of substitution between trade varieties.

Regression Quantile Estimations on Censored Survival Data

  • Shim, Joo-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.31-38
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    • 2002
  • In the case of multiple survival times which might be censored at each covariate vector, we study the regression quantile estimations in this paper. The estimations are based on the empirical distribution functions of the censored times and the sample quantiles of the observed survival times at each covariate vector and the weighted least square method is applied for the estimation of the regression quantile. The estimators are shown to be asymptotically normally distributed under some regularity conditions.

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Estimation of Soil Resistivity Parameter for Optimal Grounding Design (최적 접지설계를 위한 대지파라메터의 추정)

  • Lee, Hyung-Soo;Lee, Kwan-Hyung;Lee, Bong-Yong;Shim, Keon-Bo
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.61-63
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    • 1994
  • Accurate estimation of soil resistivity parameters are very important in the design of grounding systems. This paper presents a useful methodology for the optimal estimation of soil parameters based on the weighted least square concepts using a set of earth resistivity measurements by Wenner method. And, this paper developes a computer simulation programming for the estimation of soil parameters. Results are presented and compared with the results of other methods.

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A comparison on coefficient estimation methods in single index models (단일지표모형에서 계수 추정방법의 비교)

  • Choi, Young-Woong;Kang, Kee-Hoon
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.6
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    • pp.1171-1180
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    • 2010
  • It is well known that the asymptotic convergence rates of nonparametric regression estimator gets worse as the dimension of covariates gets larger. One possible way to overcome this problem is reducing the dimension of covariates by using single index models. Two coefficient estimation methods in single index models are introduced. One is semiparametric least square estimation method, which tries to find approximate solution by using iterative computation. The other one is weighted average derivative estimation method, which is non-iterative method. Both of these methods offer the parametric convergence rate to normal distribution. However, practical comparison of these two methods has not been done yet. In this article, we compare these methods by examining the variances of estimators in various models.

Stress Recovery Technique by Ordinary Kriging Interpolation in p-Adaptive Finite Element Method (적응적 p-Version 유한요소법에서 정규 크리깅에 의한 응력복구기법)

  • Woo, Kwang Sung;Jo, Jun Hyung;Lee, Dong Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.677-687
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    • 2006
  • Kriging interpolation is one of the generally used interpolation techniques in Geostatistics field. This technique includes the experimental and theoretical variograms and the formulation of kriging interpolation. In contrast to the conventional least square method for stress recovery, kriging interpolation is based on the weighted least square method to obtain the estimated exact solution from the stress data at the Gauss points. The weight factor is determined by variogram modeling for interpolation of stress data apart from the conventional interpolation methods that use an equal weight factor. In addition to this, the p-level is increased non-uniformly or selectively through a posteriori error estimation based on SPR (superconvergent patch recovery) technique, proposed by Zienkiewicz and Zhu, by auto mesh p-refinement. The cut-out plate problem under tension has been tested to validate this approach. It also provides validity of kriging interpolation through comparing to existing least square method.

Development of Section Load Estimation Program for Smart Distribution Management System (스마트배전 운영시스템용 구간부하 추정 프로그램 개발)

  • Yun, Sang-Yun;Chu, Chul-Min;Kwan, Seung-Chul;Song, Il-Keun;Lim, Sung-Il
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.8
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    • pp.1083-1090
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    • 2012
  • In this paper, we present the section load estimation program of distribution system for smart distribution management system. The proposed program is composed with three parts. One is the consistency check part for switch measurements which consist a section. The consistency check is divided into the current and angle test. For the current test, we examine the input and output power flow for the switch group. For the angle test, the result of power flow calculation at previous step is used. Another is the voltage estimation part for the measured switches. We use the weighted least square (WLS) method for the voltage estimation. The third is the part of final section load calculation. The database structure for accomplishing the developed estimation program is also proposed. To verify the accuracy of the experimental results, case studies are performed using a actual data of Jeju island. The developed program can be effectively applied to the distribution operation systems.