• 제목/요약/키워드: a error model

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방향성을 고려한 공작기계 입체오차의 평가 (Estimation of a Volumetric Error of a Machine Tool Considering the Moving Direction of a Machine Tool)

  • 안경기;조동우
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 춘계학술대회 논문집
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    • pp.676-680
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    • 2000
  • In this paper, an extended volumetric error model considering backlash in a three-axis machine tool was proposed and utilized for calculating the volumetric error of the machine tool at any position in three-dimensional workspace. Backlashes are interrelated; i.e. the angular backlash affects the straightness errors which then affect the calculated squareness errors. Therefore, a new concept was introduced to define the backlash of squareness errors to incorporate the backlash of squareness error into the volumetric error, and the characteristics of the backlash of squareness error were investigated. The effects of backlash errors were assessed, by experiments, fur 21 geometric errors of a machine tool. The backlash error was shown to be one of the systematic errors of a machine tool. Based on this volumetric error model, a computer-aided volumetric error analysis system was developed for a three-axis machine tool in this paper. Then the volumetric error at an arbitrary position can be obtained, and displayed in a three-dimensional graphic form.

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ARIMA 모델을 이용한 항공운임예측에 관한 연구 (A Study of Air Freight Forecasting Using the ARIMA Model)

  • 서상석;박종우;송광석;조승균
    • 유통과학연구
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    • 제12권2호
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    • pp.59-71
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    • 2014
  • Purpose - In recent years, many firms have attempted various approaches to cope with the continual increase of aviation transportation. The previous research into freight charge forecasting models has focused on regression analyses using a few influence factors to calculate the future price. However, these approaches have limitations that make them difficult to apply into practice: They cannot respond promptly to small price changes and their predictive power is relatively low. Therefore, the current study proposes a freight charge-forecasting model using time series data instead a regression approach. The main purposes of this study can thus be summarized as follows. First, a proper model for freight charge using the autoregressive integrated moving average (ARIMA) model, which is mainly used for time series forecast, is presented. Second, a modified ARIMA model for freight charge prediction and the standard process of determining freight charge based on the model is presented. Third, a straightforward freight charge prediction model for practitioners to apply and utilize is presented. Research design, data, and methodology - To develop a new freight charge model, this study proposes the ARIMAC(p,q) model, which applies time difference constantly to address the correlation coefficient (autocorrelation function and partial autocorrelation function) problem as it appears in the ARIMA(p,q) model and materialize an error-adjusted ARIMAC(p,q). Cargo Account Settlement Systems (CASS) data from the International Air Transport Association (IATA) are used to predict the air freight charge. In the modeling, freight charge data for 72 months (from January 2006 to December 2011) are used for the training set, and a prediction interval of 23 months (from January 2012 to November 2013) is used for the validation set. The freight charge from November 2012 to November 2013 is predicted for three routes - Los Angeles, Miami, and Vienna - and the accuracy of the prediction interval is analyzed using mean absolute percentage error (MAPE). Results - The result of the proposed model shows better accuracy of prediction because the MAPE of the error-adjusted ARIMAC model is 10% and the MAPE of ARIMAC is 11.2% for the L.A. route. For the Miami route, the proposed model also shows slightly better accuracy in that the MAPE of the error-adjusted ARIMAC model is 3.5%, while that of ARIMAC is 3.7%. However, for the Vienna route, the accuracy of ARIMAC is better because the MAPE of ARIMAC is 14.5% and the MAPE of the error-adjusted ARIMAC model is 15.7%. Conclusions - The accuracy of the error-adjusted ARIMAC model appears better when a route's freight charge variance is large, and the accuracy of ARIMA is better when the freight charge variance is small or has a trend of ascent or descent. From the results, it can be concluded that the ARIMAC model, which uses moving averages, has less predictive power for small price changes, while the error-adjusted ARIMAC model, which uses error correction, has the advantage of being able to respond to price changes quickly.

Integer-Valued HAR(p) model with Poisson distribution for forecasting IPO volumes

  • SeongMin Yu;Eunju Hwang
    • Communications for Statistical Applications and Methods
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    • 제30권3호
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    • pp.273-289
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    • 2023
  • In this paper, we develop a new time series model for predicting IPO (initial public offering) data with non-negative integer value. The proposed model is based on integer-valued autoregressive (INAR) model with a Poisson thinning operator. Just as the heterogeneous autoregressive (HAR) model with daily, weekly and monthly averages in a form of cascade, the integer-valued heterogeneous autoregressive (INHAR) model is considered to reflect efficiently the long memory. The parameters of the INHAR model are estimated using the conditional least squares estimate and Yule-Walker estimate. Through simulations, bias and standard error are calculated to compare the performance of the estimates. Effects of model fitting to the Korea's IPO are evaluated using performance measures such as mean square error (MAE), root mean square error (RMSE), mean absolute percentage error (MAPE) etc. The results show that INHAR model provides better performance than traditional INAR model. The empirical analysis of the Korea's IPO indicates that our proposed model is efficient in forecasting monthly IPO volumes.

Improvement of flood simulation accuracy based on the combination of hydraulic model and error correction model

  • Li, Li;Jun, Kyung Soo
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2018년도 학술발표회
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    • pp.258-258
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    • 2018
  • In this study, a hydraulic flow model and an error correction model are combined to improve the flood simulation accuracy. First, the hydraulic flow model is calibrated by optimizing the Manning's roughness coefficient that considers spatial and temporal variability. Then, an error correction model were used to correct the systematic errors of the calibrated hydraulic model. The error correction model is developed using Artificial Neural Networks (ANNs) that can estimate the systematic simulation errors of the hydraulic model by considering some state variables as inputs. The input variables are selected using parital mutual information (PMI) technique. It was found that the calibrated hydraulic model can simulate flood water levels with good accuracy. Then, the accuracy of estimated flood levels is improved further by using the error correction model. The method proposed in this study can be used to the flood control and water resources management as it can provide accurate water level eatimation.

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무유출의 고려를 통한 간헐하천 유역에 확률기반의 격자형 수문모형의 구축 (Accounting for zero flows in probabilistic distributed hydrological modeling for ephemeral catchment)

  • 이동기;안국현
    • 한국수자원학회논문집
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    • 제53권6호
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    • pp.437-450
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    • 2020
  • 본 연구에서는 우리나라의 기후 특성의 영향으로 종종 발생하는 무유출량의 간헐하천 유역(Ephemeral catchment)에 확률기반 격자형 수문 모형을 구축하였다. 격자형 모형의 구축을 위하여 Sacramento Soil Moisture Accounting Model (SAC-SMA) 유출 모형을 사용하였으며 라우팅 모형의 결합으로 격자형 강우-유출 모형을 구축하였다. 확률 모형의 표현을 위하여 에러 모형을 결합시켰으며 간헐하천 유역에 적합하게 표현하기 위해서 검열된 오류 모형(censoring error model)을 사용하였다. 기존에 많이 사용되는 정규화된 오류 모형과의 비교를 통하여 본 연구에서 구축한 모형의 적합성을 평가하였다. 먼저 과거 주된 연구와 유역에 대한 검토를 통하여 그 필요성을 논하였으며 우리나라에서 수문 모형에 많이 사용되는 용담댐을 선정하여 수문 모형을 구축하였다. 결과적으로 본 연구에서 구축한 두개의 모형이 둘 다 신뢰할 만한 결과를 보여주지만 검열된 오류 모형의 사용이 더욱 적합한 결과를 보여주는 것을 확인하였다. 이 과정에서 기존의 방법론은 확률 기반의 유출량의 표현에 있어서 0 이하의 음수값을 상당히 표현하였으며 이는 현실이지 못한 수문 모델링의 표현을 의미한다. 본 연구에서는 또한 두 모형의 심층적인 비교를 위하여 심화된 간헐하천 유역을 구축하고 수문 모델링을 하였다. 결과적으로 무유출의 빈도 증가에 따라 무유출량을 고려하는 검열된 오류 모형의 효율이 증가하는 것을 알 수 있었다. 본 연구에서 얻은 결과는 우리나라의 수문 모델링에 있어서 간헐하천 유역에 대한 고려가 필요하다는 것을 의미한다.

5축 CNC 공작기계의 오차합성모델링 및 보정 알고리즘 (Error Synthesis Modeling and Compensation Algorithm of a 5-Axis CNC Machine Tool)

  • 양승한;이철수
    • 한국정밀공학회지
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    • 제16권8호
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    • pp.122-129
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    • 1999
  • A 5-axis CNC machine tool is more useful compared with a 3-axis machine tool, because the position and the orientation of a tool tip can be controlled simultaneously. Unlike the 3-axis machine tool, the 5-axis machine tool has the volumetric position error and volumetric orientation error due to the quasi-static error of each machine tool joint which is a major source of machined part error. So, the generalized error synthesis model of the 5-axis CNC machine tool was developed to predict and to compensate for the volumetric position error and the volumetric orientation error. It was proposed that a compensation algorithm to correct simultaneously the volumetric position error and the volumetric orientation error of the 5-axis CNC machine by error inverse kinematic.

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공작기계의 선형경로에 대한 오차모델을 이용한 제어기 설계 (A Controller Design Using Error Model for Line Type Paths in Machine Tool)

  • 길형균;이건복
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2004년도 춘계학술대회 논문집
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    • pp.64-69
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    • 2004
  • The work presented here deals with controller design using error model constructed with proportional control ramp response. The design aims at the improvement of transient response, steady-state error reduction with stability preservation, generation of the consistent contour error through the proportional gain regulation of a mismatched system. The first step is to generate tracking-error curve with proportional control only and decide the added error signal shape on the error curve. The next is to construct a table for the steady-state loop gain with step input. The table is used for selecting the proportional gain. The effectiveness of the proposed controller is confirmed through the simulation and experiment.

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Multivariable Bayesian curve-fitting under functional measurement error model

  • Hwang, Jinseub;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
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    • 제27권6호
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    • pp.1645-1651
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    • 2016
  • A lot of data, particularly in the medical field, contain variables that have a measurement error such as blood pressure and body mass index. On the other hand, recently smoothing methods are often used to solve a complex scientific problem. In this paper, we study a Bayesian curve-fitting under functional measurement error model. Especially, we extend our previous model by incorporating covariates free of measurement error. In this paper, we consider penalized splines for non-linear pattern. We employ a hierarchical Bayesian framework based on Markov Chain Monte Carlo methodology for fitting the model and estimating parameters. For application we use the data from the fifth wave (2012) of the Korea National Health and Nutrition Examination Survey data, a national population-based data. To examine the convergence of MCMC sampling, potential scale reduction factors are used and we also confirm a model selection criteria to check the performance.

Constant Error Variance Assumption in Random Effects Linear Model

  • Ahn, Chul-Hwan
    • Communications for Statistical Applications and Methods
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    • 제2권2호
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    • pp.296-302
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    • 1995
  • When heteroscedasticity occurs in random effects linear model, the error variance may depend on the values of one or more of the explanatory variables or on other relevant quantities such as time or spatial ordering. In this paper we derive a score test as a diagnostic tool for detecting non-constant error variance in random effefts linear model based on the model expansion on error variance. This score test is compared to loglikelihood ratio test.

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Semiparametric Bayesian estimation under functional measurement error model

  • Hwang, Jin-Seub;Kim, Dal-Ho
    • Journal of the Korean Data and Information Science Society
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    • 제21권2호
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    • pp.379-385
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    • 2010
  • This paper considers Bayesian approach to modeling a flexible regression function under functional measurement error model. The regression function is modeled based on semiparametric regression with penalized splines. Model fitting and parameter estimation are carried out in a hierarchical Bayesian framework using Markov chain Monte Carlo methodology. Their performances are compared with those of the estimators under functional measurement error model without semiparametric component.