• Title/Summary/Keyword: relative errors

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Observability Analysis of Alignment Errors in GPS/INS

  • Lee Mun Ki;Hong Sinpyo;Lee Man Hyung;Kwon Sun-Hong;Chun Ho-Hwan
    • Journal of Mechanical Science and Technology
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    • v.19 no.6
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    • pp.1253-1267
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    • 2005
  • Misalignment can be an important problem in the integration of GPS/INS. Observability analysis of the alignment errors in the integration of low-grade inertial sensors and multi-antenna GPS is presented in this paper. A control-theoretic approach is adopted to study the observability of time-varying error dynamics models. The relationship between vehicle motions and the observability of the errors in the lever arm and relative attitude between GPS antenna array and IMU is given. It is shown that alignment errors can be made observable through maneuvering. The change of acceleration makes the components of the relative attitude error that are orthogonal to the direction of the acceleration change observable. The change of angular velocity makes the components of the lever arm error that are orthogonal to the direction of the angular velocity observable. The motion of constant angular velocity has no influence on the estimation of the lever arm.

On the Estimation in Regression Models with Multiplicative Errors

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.193-198
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    • 1999
  • The estimation of parameters in regression models with multiplicative errors is usually based on the gamma or log-normal likelihoods. Under reciprocal misspecification, we compare the small sample efficiencies of two sets of estimators via a Monte Carlo study. We further consider the case where the errors are a random sample from a Weibull distribution. We compute the asymptotic relative efficiency of quasi-likelihood estimators on the original scale to least squares estimators on the log-transformed scale and perform a Monte Carlo study to compare the small sample performances of quasi-likelihood and least squares estimators.

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전달함수를 이용한 유정압테이블 운동정밀도 해석법의 제안 및 이론적 검증

  • 오윤진;박천홍;이후상;홍준희
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.04a
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    • pp.9-14
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    • 2001
  • A new model utilizing a transfer function is introduced in the present paper for analizing motion errors of hydrostatic tables. Relationship between film reaction force in a single hydrostatic pad and form error of a guide rail is derived at various spacial frequencies by finite element analysis, and it is expressed as a transfer function. This transfer function clarifies so called averaging effect of the oil film quantitively. For example, it is found that the amplitide of the film reaction force is reduced as the spacial frequency increases or relative width of the pocket is reduced. Motion errors of a multiple pad table is estimated from transfer function, geometric relationship between each pads and form errors of a guide rail, which is named as Transfer Function Method. Calculated motion errors by TFM show good agreement with motion errors calculated by Multi Pad Method, which is considered entire table as an analysis object. From the results, it is confirmed that the proposed TFM is very effective to analyze the motion errors of hydrostatic tables.

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Identification of Geotechnical Paramters Using Relative Convergence Measurements (상대변위를 이용한 지반정수 인식)

  • Choi, Sang-Hyun;Cho, Kook-Hwan
    • Proceedings of the KSR Conference
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    • 2005.11a
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    • pp.418-423
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    • 2005
  • In designing underground structure such as tunnels, estimating geotechnical characteristics of the ground is one of the most important and difficult tasks. In this paper, a methodology that can identify geotechnical parameters using only field-measured relative convergence displacements is presented. By using only relative convergence measurement data, inevitable errors in absolute convergence estimation can be avoided and in turn the parameter estimation process can be simplified. The methodology utilizes sensitivity relationship between static displacement measurements and geotechnical parameters. The feasibility and applicability of the proposed methodology is verified via a 3-d numerical example of a tunnel structure.

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Estimation of Vertical Profiles and Total Amount of Ozone Using Two-Dimensional Photochemical Transfer Model During the Period of 1995-1996 at Pohang (2차원 광화학수송모델을 이용한 포항지역의 1995-1996년 기간동안 오존의 연직 프로파일 및 전량 추정)

  • Moon, Yun-Seob
    • Journal of Korean Society for Atmospheric Environment
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    • v.22 no.3
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    • pp.271-285
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    • 2006
  • A two-dimensional photochemical transport model (2D PTM) is simulated to describe the transport and chemical reaction of ozone related to aerosols in the troposphere and stratosphere. The vertical profiles and total amounts of ozone, which are advected by both residual Eulerian circulation and the adiabatic circulation under certain circumstance, have been compared with the observation data such as ozonesondes, Brewer spectrometer, the Upper Atmosphere Research Satellite (UARS), and the Total Ozone Mapping Spectrophotometer (TOMS). As a result, we find that the observed distribution of ozone Is adequately reproduced in the model at middle and high latitude in the Northern Hemisphere as well as at Phang ($36^{\circ}\;02'N,\;129^{\circ}\;23'E$) in South Korea. In particular, the 2D PTM is well simulated in the ozone decrease due to the Pinatubo volcanic eruption in 1991. However, ozone mixing ratio are more underestimated than those of UARS and ozonesondes, because are very sensitive to the latitude of transport across the tropopause associated with both Rummukainen errors and off-line model. Relative mean bias errors and relative root mean square errors of ozone calculations using the 2D PTM are shown within${\pm}10%$, respectively.

Compensation of Geometric Error by the Correction of Control Surface (제어곡면 수정에 의한 기하오차 보정)

  • Ko, Tae-Jo;Park, Sang-Shin;Kim, Hee-Sool
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.4
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    • pp.97-103
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    • 2001
  • Accuracy of a machined part is determined by the relative motion between the cutting tool and the workpiece. One of the important factors which affects the relative motion is the geometric errors of a machine tool. In this study, firstly, geometric errors are measured by laser interferometer, and the positioning error of each control point selected uniformly on the control surface CAD model can be estimated from th oirm shaping model and geometric error data base. Where a form shaping function is derived from the link of homogeneous transformation matrix. Secondly, control points are shifted to the estimated amount of positioning errors. A new control surface is modeled with NURBS(Non Uniform Rational B-Spline) surface approximation to the shifted control points. By generating tool paths to the redesigned control surface, we reduce the machining error quite.

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Application of the Concept of a sSnsitivity Linkage for the Analysis of Mechanical Error in 4-Bar Mechanism (민감도 해석기구를 이용한 4절기구의 기계적 오차해석)

  • Sin, Jae-Kyun;Choi, Hong-Suck
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1508-1515
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    • 1996
  • The method of utilizing sensitivity linkages for the analysis of mechanical errors are proposed. As sources of the mechanical error, tolerances in the link length and clearances in thejoints are considered. It is demonstrated that the problem of calculating mechanical errors of a 4-bar mechanism can be transformed into a problem of conventeional velocity analysis of a sensitivity linkage. As a result of the present study, it is found and proved that the mechanical error of the output angle in the 4-Bar mechaism is represented as a simple harmonic function with respect to the relative position of the pin on the clearance circle. Also the vector representing the mechanical error of a coupler point makes, in general, an ellipse as the relative angle varies on the clearance circle. With these results we can better identify the characteristic of the mechanical errors in linkages.

Design-Based Small Area Estimation for the Korean Economically Active Population Survey (시군구 실업자 총계 추정을 위한 설계기반 간접추정법)

  • 정연수;이계오;이우일
    • The Korean Journal of Applied Statistics
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    • v.16 no.1
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    • pp.1-14
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    • 2003
  • In this study, we suggest the method of small area estimation based on the Economically Active Population Survey (EAPS) data in producing unemployment statistics for the local self-government areas (LSGAs) within large areas. The small area estimators considered are design-based indirect estimators such as the synthetic and composite estimators. The jackknife mean square error was used as a measure of accuracy of such small area estimators. The total unemployed and jackknife mean square errors of the 10 LSGAs within the large area of ChoongBuk region are derived from the estimation procedure suggested in this study, using EAPS data of December 2000. The reliability of small area estimators was assessed using the relative bias values and relative root mean square errors of these estimators. We find that under the current Korean EAPS system, the composite estimator turns out to be much more stable than other estimators.

The Age-specific Change of Refraction(D) Power and Relative Risks of Refractive Errors (연령에 따른 굴절력 변화와 굴절이상의 상대 위험도)

  • Lee, Eun-Hee;Lee, Sang-Yoon;Lee, Hee-Jung;Cho, Sung-Il;Paek, Domyung
    • Journal of Korean Ophthalmic Optics Society
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    • v.12 no.3
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    • pp.1-5
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    • 2007
  • This is a succeeding article of J. Korean Optalmic Optics Society vol. 11(2) pp. 121-129(2006) [Research about the distribution of refractive errors in distinction of gender and at age of Kyonggi province's partial area]. The former article showed age-specific distribution of myopia, hyperopia and astigmatism which generally appears in refractive errors. This paper aimed to investigate the change of refractive power and prevalence of refractive errors by age. Total 928 subjects were sampled and their refractive errors were determined using auto refractometer. As the results, change of refractive power of subjects appeared at the age about 40, and suddenly reduced over 46 years resulting in (+)refractive power at their fifties. Relative risks of refractive errors of myopia increased in younger subjects but the risks decreased in older subjects (over 46 years). On the other hand, the risks of hyperopia decreased as the age of subjects increase, but could increase to 0.24 (95% CI: 0.07-0.88) after 36 years. This results showed that presbyopia might progress more early when people were before 40 years.

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