• 제목/요약/키워드: Statistical Error

검색결과 1,756건 처리시간 0.026초

측정 자동화 구축을 위한 투영기의 치수오차 분석에 관한 연구 (A Study on Analysis of Dimensional Error of Projector for Formulations of Measurement Automation)

  • 최지선;김문기
    • 반도체디스플레이기술학회지
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    • 제20권4호
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    • pp.114-118
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    • 2021
  • In this research, the dimensional error of the measured specimen according to the measurement method was analyzed for the length, angle, radius of curvature and diameter using a projector which is used in industry. One-way analysis was performed on each data tested 30 times using a statistical technique. Through the experiment, it was found that an error occurred in each data when measuring the length and radius of curvature according to the measurement method, and the null hypothesis that no error occurred when measuring the angle and length was established. Based on this experimental data, the automatic measurement when measuring the projector causes less measurement error, so automatic measurement is recommended when measuring a small product. Also, an optimal measuring method is suggested for securing reliability on formulations of measurement automation.

Novel approach to predicting the release probability when applying the MARSSIM statistical test to a survey unit with a specific residual radioactivity distribution based on Monte Carlo simulation

  • Chun, Ga Hyun;Cheong, Jae Hak
    • Nuclear Engineering and Technology
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    • 제54권5호
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    • pp.1606-1615
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    • 2022
  • For investigating whether the MARSSIM nonparametric test has sufficient statistical power when a site has a specific contamination distribution before conducting a final status survey (FSS), a novel approach was proposed to predict the release probability of the site. Five distributions were assumed: lognormal distribution, normal distribution, maximum extreme value distribution, minimum extreme value distribution, and uniform distribution. Hypothetical radioactivity populations were generated for each distribution, and Sign tests were performed to predict the release probabilities after extracting samples using Monte Carlo simulations. The designed Type I error (0.01, 0.05, and 0.1) was always satisfied for all distributions, while the designed Type II error (0.01, 0.05, and 0.1) was not always met for the uniform, maximum extreme value, and lognormal distributions. Through detailed analyses for lognormal and normal distributions which are often found for contaminants in actual environmental or soil samples, it was found that a greater statistical power was obtained from survey units with normal distribution than with lognormal distribution. This study is expected to contribute to achieving the designed decision error when the contamination distribution of a survey unit is identified, by predicting whether the survey unit passes the statistical test before undertaking the FSS according to MARSSIM.

Logistic Regression Type Small Area Estimations Based on Relative Error

  • Hwang, Hee-Jin;Shin, Key-Il
    • 응용통계연구
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    • 제24권3호
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    • pp.445-453
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    • 2011
  • Almost all small area estimations are obtained by minimizing the mean squared error. Recently relative error prediction methods have been developed and adapted to small area estimation. Usually the estimators obtained by using relative error prediction is called a shrinkage estimator. Especially when data set consists of large range values, the shrinkage estimator is known as having good statistical properties and an easy interpretation. In this paper we study the shrinkage estimators based on logistic regression type estimators for small area estimation. Some simulation studies are performed and the Economically Active Population Survey data of 2005 is used for comparison.

Statistical analysis of KNHANES data with measurement error models

  • Hwang, Jinseub
    • Journal of the Korean Data and Information Science Society
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    • 제26권3호
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    • pp.773-779
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    • 2015
  • We study a statistical analysis about the fifth wave data of the Korea National Health and Nutrition Examination Survey based on linear regression models with measurement errors. The data is obtained from a national population-based complex survey. To demonstrate the availability of measurement error models, two results between the general linear regression model and measurement error model are compared based on the model selection criteria which are Akaike information criterion and Bayesian information criterion. For our study, we use the simulation extrapolation algorithm for measurement error model and the jackknife method for the estimation of standard errors.

A Statistical Perspective of Neural Networks for Imbalanced Data Problems

  • Oh, Sang-Hoon
    • International Journal of Contents
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    • 제7권3호
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    • pp.1-5
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    • 2011
  • It has been an interesting challenge to find a good classifier for imbalanced data, since it is pervasive but a difficult problem to solve. However, classifiers developed with the assumption of well-balanced class distributions show poor classification performance for the imbalanced data. Among many approaches to the imbalanced data problems, the algorithmic level approach is attractive because it can be applied to the other approaches such as data level or ensemble approaches. Especially, the error back-propagation algorithm using the target node method, which can change the amount of weight-updating with regards to the target node of each class, attains good performances in the imbalanced data problems. In this paper, we analyze the relationship between two optimal outputs of neural network classifier trained with the target node method. Also, the optimal relationship is compared with those of the other error function methods such as mean-squared error and the n-th order extension of cross-entropy error. The analyses are verified through simulations on a thyroid data set.

Bayesian Curve-Fitting in Semiparametric Small Area Models with Measurement Errors

  • Hwang, Jinseub;Kim, Dal Ho
    • Communications for Statistical Applications and Methods
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    • 제22권4호
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    • pp.349-359
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    • 2015
  • We study a semiparametric Bayesian approach to small area estimation under a nested error linear regression model with area level covariate subject to measurement error. Consideration is given to radial basis functions for the regression spline and knots on a grid of equally spaced sample quantiles of covariate with measurement errors in the nested error linear regression model setup. We conduct a hierarchical Bayesian structural measurement error model for small areas and prove the propriety of the joint posterior based on a given hierarchical Bayesian framework since some priors are defined non-informative improper priors that uses Markov Chain Monte Carlo methods to fit it. Our methodology is illustrated using numerical examples to compare possible models based on model adequacy criteria; in addition, analysis is conducted based on real data.

An Integrated Sequential Inference Approach for the Normal Mean

  • Almahmeed, M.A.;Hamdy, H.I.;Alzalzalah, Y.H.;Son, M.S.
    • Journal of the Korean Statistical Society
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    • 제31권4호
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    • pp.415-431
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    • 2002
  • A unified framework for statistical inference for the mean of the normal distribution to derive point estimates, confidence intervals and statistical tests is proposed. This optimal design is justified after investigating the basic information and requirements that are possible and impossible to control when specifying practical and statistical requirements. Point estimation is only credible when viewed in the larger context of interval estimation, since the information required for optimal point estimation is unspecifiable. Triple sampling is proposed and justified as a reasonable sampling vehicle to achieve the specifiable requirements within the unified framework.

TMBOC과 CBOC 신호에 적합한 모호성이 낮은 다중경로 오차완화 기법 (An Unambiguous Multipath Error Mitigation Scheme for TMBOC and CBOC Signals)

  • 유승수;지규인;김선용
    • 제어로봇시스템학회논문지
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    • 제18권10호
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    • pp.977-987
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    • 2012
  • One of the most significant errors in the pseudo-range measurement performance of GNSSes (Global Navigation Satellite Systems) is their multipath error for high-precision applications. Several schemes to mitigate this error have been studied. Most of them, however, have been focused on the GPS (Global Positioning System) L1 C/A (Coarse/Acquisition) signal that was designed in the 1970s and is still being used for civil navigation. Recently, several modernized signals that were especially conceived to more significantly mitigate multipath errors have been introduced, such as Time Multiplexed and Composite Binary Offset Carrier (TMBOC and CBOC, respectively) signals. Despite this advantage, however, a problem remains with the use of TMBOC and CBOC modulations: the ambiguity of BOC (Binary Offset Carrier)-modulated signal tracking. In this paper, a novel unambiguous multipath error mitigation scheme for these modernized signals is proposed. The proposed scheme has the same complexity as HRCs (High Resolution Correlators) but with low ambiguity. The simulation results showed that the proposed scheme outperformed or performed at par with the HRC in terms of their multipath error envelopes and running averages in the static and statistical channel models. The ranging error derived by the mean multipath error of the proposed scheme was below 1.8 meters in an urban area in the statistical channel model.

적외선 스테레오 카메라를 이용한 고속 이동객체의 위치에 대한 확률모델 (Statistical Model of 3D Positions in Tracking Fast Objects Using IR Stereo Camera)

  • 오준호;이상화;이부환;박종일
    • 전자공학회논문지
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    • 제52권1호
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    • pp.89-101
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    • 2015
  • 본 논문에서는 비냉각방식 적외선 스테레오 카메라 시스템을 이용하여 고속으로 이동하는 고온의 소형 물체의 3차원 위치를 추정함에 있어서 무작위로 추정되는 그 위치를 확률 모델로 표현하는 방법을 제안한다. 본 논문에서 제안하는 확률적 위치 모델은 디지털 영상으로 인한 픽셀위치의 오차(pixel position error)와 비냉각식 적외선 카메라에서 영상을 취득하는 순간의 차이에 의한 지터오차(jitter error)로부터 유도되는데, 두 가지 오차를 결합한 통합 오차확률모델을 수학적으로 제시하고 실험을 통하여 그 효용성을 보여준다. 우선 본 논문에서 고안한 적외선 카메라의 지터 측정기를 이용하여 적외선 카메라에서 발생하는 타이밍 지터를 통계적으로 관찰하여 확률모델을 설정한다. 또한 디지털 영상의 스테레오 정합 과정에서 발생하는 픽셀 오차에 의하여 정확도가 떨어지는 측정거리를 확률모델로 정의한다. 실험 측정 결과, 지터는 가우시안 확률분포로 모델링하는 것이 가능하며, 픽셀오차는 균일 확률분포로 모델링된다. 이 두 가지 확률분포를 갖는 오차는 상호 독립으로서 선형 결합되는데, 전체 오차에 대한 확률분포는 지터오차 변수의 확률분포와 픽셀위치오차 변수의 확률분포를 컨볼루션함으로써 유도된다. 실제 고속 이동체에 대하여 정밀한 3차원 궤적측정기와 자체 구현한 적외선 스테레오 카메라 시스템을 이용하여 제안한 확률모델을 3차원 위치추적 실험에 적용한 결과 95% 신뢰도 구간에서 물체의 위치를 추정하는 것을 확인하였다. 즉, 물체의 위치를 정확하게 측정하는 것은 이론적으로는 불가능하며, 확률모델을 통하여 물체의 위치를 표현하는 것이 타당함을 확인할 수 있다. 본 논문에서 제안한 확률모델은 적외선 스테레오 카메라를 이용한 거리측정에서 부정확함을 확률적으로 모델링하여 위치정보에 대한 불확실성을 보정해주며, 특히 적외선 스테레오 카메라를 이용한 고속 물체의 위치추적 및 거리측정에서 이론적, 실험적 토대를 제공할 것으로 기대된다.

반응적응 시험설계법을 이용하는 통계적 해석모델 검증 기법 연구 (A Study on the Statistical Model Validation using Response-adaptive Experimental Design)

  • 정병창;허영철;문석준;김영중
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2014년도 추계학술대회 논문집
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    • pp.347-349
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    • 2014
  • Model verification and validation (V&V) is a current research topic to build computational models with high predictive capability by addressing the general concepts, processes and statistical techniques. The hypothesis test for validity check is one of the model validation techniques and gives a guideline to evaluate the validity of a computational model when limited experimental data only exist due to restricted test resources (e.g., time and budget). The hypothesis test for validity check mainly employ Type I error, the risk of rejecting the valid computational model, for the validity evaluation since quantification of Type II error is not feasible for model validation. However, Type II error, the risk of accepting invalid computational model, should be importantly considered for an engineered products having high risk on predicted results. This paper proposes a technique named as the response-adaptive experimental design to reduce Type II error by adaptively designing experimental conditions for the validation experiment. A tire tread block problem and a numerical example are employed to show the effectiveness of the response-adaptive experimental design for the validity evaluation.

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