• 제목/요약/키워드: Non-sampling Error

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Improved Exponential Estimator for Estimating the Population Mean in the Presence of Non-Response

  • Kumar, Sunil
    • Communications for Statistical Applications and Methods
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    • 제20권5호
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    • pp.357-366
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    • 2013
  • This paper defines an improvement for estimating the population mean of a study variable using auxiliary information and known values of certain population parameter(s), when there is a non-response in a study as well as on auxiliary variables. Under a simple random sampling without a replacement (SRSWOR) scheme, the mean square error (MSE) of all proposed estimators are obtained and compared with each other. Numerical illustration is also given.

조사자료 데이터베이스의 허위 잠재 가능성 분류군 탐지 (The Detection of Unreliable Data in Survey Database)

  • 변루나;한정혜
    • 정보처리학회논문지D
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    • 제12D권4호
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    • pp.657-662
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    • 2005
  • 인간이 자료를 생산하여 구축하는 조사자료 데이터베이스는 응답자나 조사자의 고의 또는 실수로 인해 비표본오차는 언제든지 발생할 수 있고 그에 따른 오차를 찾아내는 조사관리는 시간적 비용적 기술적으로 대단히 어렵다. 조사관리를 시의성 있게 수리적이고 체계적으로 찾아내는 일이 결코 쉽지 않기 때문에, 지금까지는 단순히 조사항목 연관성 불일치 또는 임의로 선택한 현장을 방문하여 착오 자료 등을 찾아냄으로써 조사관리 하는 것에 불과하였다. 이에 본 연구에서는 비표본오차 중에서 응답자나 조사원의 허위응답과 허위조사를 예방할 수 있는 잠재 가능성을 분류하는 휴리스틱한 방법을 제시하고자 한다. 먼저 일정한 기간마다 지속적으로 실시되는 조사를 대상으로 질적, 양적 자료의 구성에 관계없는 이항반응 자료로 변환하여 허위일 가능성이 있는 패턴을 찾아보았다. 그리고 조사구의 지리적 위치도 고려하여 최종 허위응답과 허위조사 잠재 가능성 분류군을 탐지하였다. 분석결과 허위조사의 경우를 정확히 탐지하였으며, 허위조사 잠재 가능성 분류군에 대한 특징적인 지식을 얻을 수 있었다. 본 연구결과는 비표본오차를 보다 정확하고 시의성 있게 관리할 수 있는 조사관리 방법론을 제공함으로써, 조사자료 데이터베이스 품질을 높일 수 있는 가능성과 의의를 가진다.

Estimation of the Population Mean in Presence of Non-Response

  • Kumar, Sunil;Bhougal, Sandeep
    • Communications for Statistical Applications and Methods
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    • 제18권4호
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    • pp.537-548
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    • 2011
  • In this paper following Singh et al. (2008), we propose a modified ratio-product type exponential estimator to estimate the finite population mean $\={Y}$ of the study variable y in presence of non-response in different situations viz. (i) population mean $\={X}$ is known, and (ii) population mean $\={X}$ is unknown. The expressions of biases and mean squared error of the proposed estimators have been obtained under large sample approximation using single as well as double sampling. Some realistic conditions have been obtained under which the proposed estimator is more efficient than usual unbiased estimators, ratio estimators, product estimators and exponential ratio and product estimators reported by Rao (1986) and Singh et al. (2010) are found to be more efficient in many situations.

벡터투영법을 이용한 응답면기법에 관한 연구 (A Study on Response Surface Method Using the Vector Projection Technique)

  • 김상효;나성원;김우곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 가을 학술발표회 논문집
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    • pp.167-174
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    • 1994
  • In this study, an improved response surface method is proposed. By using gradient projection method, the sampling points for creating response surface are evaluated at the region close to the failure surface. This points are combined with linear response surface function and Rackwitz-Fiessler algorithm. Also, a method controlling the range of selecting sampling points considering the non-linearity of the limit states is proposed to reduce the error produced by approximating the non-linear limit state to linear response surface. With the examples the result of the proposed method is found to be more accurate and efficient than the previous response surface method.

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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.

복합추정량을 이용한 절사표본 총합 추정에 관한 연구 (A Composite Estimator for the Take-Nothing Stratum of Cut-Off Sampling)

  • 김지학;신기일
    • 응용통계연구
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    • 제24권6호
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    • pp.1115-1128
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    • 2011
  • 절사표본 설계는 관심변수의 분포가 오른쪽으로 치우쳐진 경우에 모집단 일부를 표본조사에서 제외시켜 조사의 효율을 높이는 방법이다. 그러나 전체 모집단의 총합 추정을 위해서는 버려진 절사 층에 관한 추론이 필요하게 된다. 기존에 사용하고 있는 많은 방법들은 절사층에서 표본조사를 하지 않고 알려진 보조정보와 조사자료를 이용하여 절사층 총합을 추정하며 이를 이용하여 전체 모집단의 총합을 추정한다. 본 논문에서는 절사층을 완전히 표본 층에서 제거하지 않고 조사의 편리성 및 효율성을 고려하여 최소의 표본을 추출한 후 모집단 전체 총합을 추정하는 방법을 제안하였다. 또한 모의실험을 통하여 제안된 추정법과 기존 방법의 우수성을 비교하였다.

Bathymetric mapping in Dong-Sha Atoll using SPOT data

  • Huang, Shih-Jen;Wen, Yao-Chung
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2006년도 Proceedings of ISRS 2006 PORSEC Volume II
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    • pp.525-528
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    • 2006
  • The remote sensing data can be used to calculate the water depth especially in the clear and shallow water area. In this study, the SPOT data was used for bathymetric mapping in Dong-Sha atoll, located in northern South China Sea. The in situ sea depth was collected by echo sounder as well. A global positioning system was employed to locate the accurate sampling points for sea depth. An empirical model between measurement sea depth and band digital count was determined and based on least squares regression analysis. Both non-classification and unsupervised classification were used in this study. The results show that the standard error is less than 0.9m for non-classification. Besides, the 10% error related to the measurement water depth can be satisfied for more than 85% in situ data points. Otherwise, the 10% relative error can reach more than 97%, 69%, and 51% data points at class 4, 5, and 6 respectively if supervised classification is applied. Meanwhile, we also find that the unsupervised classification can get more accuracy to estimate water depth with standard error less than 0.63, 0.93, and 0.68m at class 4, 5, and 6 respectively.

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저가 관성센서의 오차보상을 위한 간접형 칼만필터 기반 센서융합과 소형 비행로봇의 자세 및 위치결정 (Indirect Kalman Filter based Sensor Fusion for Error Compensation of Low-Cost Inertial Sensors and Its Application to Attitude and Position Determination of Small Flying robot)

  • 박문수;홍석교
    • 제어로봇시스템학회논문지
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    • 제13권7호
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    • pp.637-648
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    • 2007
  • This paper presents a sensor fusion method based on indirect Kalman filter(IKF) for error compensation of low-cost inertial sensors and its application to the determination of attitude and position of small flying robots. First, the analysis of the measurement error characteristics to zero input is performed, focusing on the bias due to the temperature variation, to derive a simple nonlinear bias model of low-cost inertial sensors. Moreover, from the experimental results that the coefficients of this bias model possess non-deterministic (stochastic) uncertainties, the bias of low-cost inertial sensors is characterized as consisting of both deterministic and stochastic bias terms. Then, IKF is derived to improve long term stability dominated by the stochastic bias error, fusing low-cost inertial sensor measurements compensated by the deterministic bias model with non-inertial sensor measurement. In addition, in case of using intermittent non-inertial sensor measurements due to the unreliable data link, the upper and lower bounds of the state estimation error covariance matrix of discrete-time IKF are analyzed by solving stochastic algebraic Riccati equation and it is shown that they are dependant on the throughput of the data link and sampling period. To evaluate the performance of proposed method, experimental results of IKF for the attitude determination of a small flying robot are presented in comparison with that of extended Kaman filter which compensates only deterministic bias error model.

고속ㆍ고정도 CNC가공을 위한 NURBS 보간 알고리즘 (NURBS Interpolation Algorithm for CNC Machining with High Speed and High Precision)

  • 김민중;송진일;권동수
    • 한국정밀공학회지
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    • 제17권1호
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    • pp.192-197
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    • 2000
  • In CNC machining, a free curve is cut into small linear segments using the linear interpolation(G01) method. Therefore, the interpolation error along the curve is not constant due to the changing curvature. This paper presents a NURBS (Non-Uniform Rational B-Spline) interpolation algorithm for machining free curves with high precision and high speed. The proposed NURBS interpolation defines the tool path with NURBS parameters and limits the interpolation error to any desired level by adjusting the feed rate considering the curvature of the shape and sampling time. Both linear and NURBS interpolations are compared to show the validity of the proposed algorithm.

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An improved estimation procedure of population mean using bivariate auxiliary information under non-response

  • Bhushan, Shashi;Pandey, Abhay Pratap
    • Communications for Statistical Applications and Methods
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    • 제26권4호
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    • pp.347-357
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    • 2019
  • We propose new classes of estimators of population mean under non-response using bivariate auxiliary information. Some improved regression (or difference) type estimators have been proposed in four different situations of non response along with their properties and the expressions for the bias and mean square errors of the proposed estimators are derived under double (two-stage) sampling scheme. The properties of the suggested class of estimators are studied and it is observed that the proposed estimators performed better when compared to conventional estimators proposed by Singh and Kumar (Journal of Statistical Planning and Inference, 140, 2536-2550, 2010b), Shabbir and Khan (Communications in Statistics - Theory and Methods, 42, 4127-4145, 2013) and Bhushan and Naqvi (Journal of Statistics and Management Systems, 18, 573-602, 2015). A comparative study is also conducted both theoretically as well as empirically in order to support the results.