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Centralization of Yates' End Corrections Method

Kim, Hyuk-Joo   (Division of Mathematics &Informational Statistics and Institute of Basic Natural Sciences, Wonkwang UniversityUU0001021  );
  • 초록

    In this paper, Yates' end corrections method is centralized to estimate the mean of a population which has a linear trend in the case of k (the reciprocal of the sampling fraction) even. The efficiency of the resultant method is compared with that of existing methods.


  • 주제어

    linear trend .   centered systematic sampling .   end corrections .   infinite superpopulation model.  

  • 참고문헌 (18)

    1. A study on estimation of the population mean using modified systematic and extrapolation , Kim,H.J.;Oh,E.S. , Korean Annals of Mathematics / v.19,pp.251-267,
    2. On optimum pairing of units , Sethi,V.K. , Sankhya / v.B27,pp.315-320,
    3. Estimation of mean using balanced systematic sampling and interpolation for population with linear trend , Kim,H.J. , Journal of the Korean Data & Information Science Society / v.29,pp.455-471,
         
    4. On the theory of systematic sampling,Ⅲ.Comparison of centered and random start systematic sampling , Madow,W.G. , Annals of Mathematical Statics / v.24,pp.101-106,
    5. A study on estimating population mean by use of interpolation and extrapolation with balanced systematic sampling , Kim,H.J. , Journal of the Korean Data & Information Science Society / v.10,pp.91-102,
         
    6. On modified systematic sampling , Singh,D.;Jindal,K.K.;Garg,J.N. , Biometrika / v.55,pp.541-546,
    7. Systematic sampling in the presence of a trend , Bellhouse,D.R.;Rao,J.N.K. , Biometrika / v.62,pp.694-697,
    8. Sysmatic and nonrandom sampling in the presence of linear trends , Fountain,R.L.;Pathak,P.K. , Communications in Statistics - Theory and Methods / v.18,pp.2511-2526,
    9. Relative accuracy of systematic and stratified random samples for a certain calss of populations , Cochran,W.G. , Annals of Mathematical Statistics / v.17,pp.164-177,
    10. Systematic sampling , Yates,F. , Philosophical Transactions of the Royal Society of London / v.A241,pp.345-377,
    11. A new estimator of population mean based on centered balanced systematic sampling , Kim,H.J. , Journal of the Korean Data & Information Science Society / v.11,pp.91-101,
         
    12. Estimation of population mean using interpolation in modified systematic sampling , Kim,H.J. , Korean Annals of Mathematics / v.15,pp.217-231,
    13. Markov chain designs for one-per-stratum sampling , Breidt,F.J. , Survey Methodology / v.21,pp.63-70,
    14. Efficient estimation of population mean using centered modified systematic sampling and interpolation , Kim,H.J.;Choi,B.C. , The Korean Communications in Statistic / v.9,pp.175-185,
         
    15. Efficient estimation of the mean for populations with a linear trend: an extension of systematic sampling , Kim,H.J.;Seok,E.Y. , The Korean Journal of Applied Statistics / v.13,pp.457-476,
         
    16. New systematic sampling methods for populations with linear or parabolic trends , Kim,H.J. , Master Thesis, Department of Computer Science and Statistics, Seoul National University / v.,pp.,
    17. Murthy,M.N. , Sampling Theory and Methods / v.,pp.,
    18. On the effectiveness of centering, interpolation and extrapolation in estimating the mean of a population with linear trend , Kim,H.J.;Jung,S.J. , Journal of the Korean Data & Information Science society / v.13,pp.365-379,
         

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  • 김혁주 (28)

    1. 1993 "모든 방향에 걸친 기울기 회전성의 측도" 응용통계연구 = The Korean journal of applied statistics 6 (1): 105~123    
    2. 1999 "Almost Sure Convergence of Randomly Weighted Sums with Application to the Efrom Bootstrap" 한국통계학회 논문집 = Communications of the Korean Statistical Society 6 (2): 585~594    
    3. 1999 "A Study on Estimating Population Mean by Use of Interpolation and Extrapolation with Balanced Systematic Sampling" Journal of the Korean Data & Information Science Society = 한국데이터정보과학회지 10 (1): 91~102    
    4. 2000 "선형추세를 갖는 모집단에 대한 효율적인 모평균 추정 : 계통추출의 확장" 응용통계연구 = The Korean journal of applied statistics 13 (2): 457~476    
    5. 2000 "$p^{n-m}$ fractional Factorial Design Excluded SOme Debarred Combinations" 한국통계학회 논문집 = Communications of the Korean Statistical Society 7 (3): 759~766    
    6. 2000 "A New Estimator of Population Mean Based on Centered Balanced Systematic Sampling" Journal of the Korean Data & Information Science Society = 한국데이터정보과학회지 11 (1): 91~101    
    7. 2001 "스포츠에서 부적절하게 사용되고 있는 통계적 개념에 관한 소고" 응용통계연구 = The Korean journal of applied statistics 14 (1): 201~210    
    8. 2002 "Efficient Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation" 한국통계학회 논문집 = Communications of the Korean Statistical Society 9 (1): 175~185    
    9. 2002 "Extended Central Composite Designs with the Axial Points Indicated by Two Numbers" 한국통계학회 논문집 = Communications of the Korean Statistical Society 9 (3): 595~605    
    10. 2002 "On the Effectiveness of Centering, Interpolation and Extrapolation in Estimating the Mean of a Population with Linear Trend" Journal of the Korean Data & Information Science Society = 한국데이터정보과학회지 13 (2): 365~379    

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