On the Effectiveness of Centering, Interpolation and Extrapolation in Estimating the Mean of a Population with Linear Trend

  • Kim, Hyuk-Joo (Division of Mathematics and Informational Statistics & Institut e of Basic Natural Science, Wonkwang University) ;
  • Jung, Sun-Ju (Major of Mathematics Education, Graduate School of Education, Wonkwang University)
  • Published : 2002.10.31

Abstract

We apply the techniques of interpolation and extrapolation to derive a new estimator based on centered modified systematic sampling for the mean of a population which has a linear trend. The efficiency of the proposed estimation method is compared with that of various existing methods. An illustrative numerical example is given.

Keywords

References

  1. 응용통계연구 v.13 no.2 선형추세를 갖는 모집단에 대한 효율적인 모평균 추정 : 계통추출의 확장 김혁주;석은양
  2. Annals of Mathematical Statistics v.17 Relative accuracy of systematic and stratified random samples for a certain class of populations Cochran, W. G.
  3. Communications in Statistics - Theory and Methods v.18 Systematic and nonrandom sampling in the presence of linear trends Fountain, R. L.;Pathak, P. K.
  4. Master Thesis, Department of Computer Science and Statistics, Seoul National University New systematic sampling methods for populations with linear or parabolic trends Kim, H. J.
  5. Korean Annals of Mathematics v.15 Estimation of population mean using interpolation in modified systematic sampling Kim, H. J.
  6. Journal of the Korean Data & Information Science v.10 A study on estimating population mean by use of interpolation and exrapolation with balanced systematic sampling Kim, H. J.
  7. Journal of the Korean Data & Information Science Society v.11 A new estimator of population mean based on centered balanced systematic sampling Kim, H. J.
  8. Journal of the Korean Statistical Society v.29 Estimation of mean using balanced systematic sampling and interpolation for population with linear trend Kim, H. J.
  9. The Korean Communications in Statistics v.9 Efficient estimation of population mean using centered modified systematic sampling and interpolation Kim, H. J.;Choi, B. C.
  10. Korean Annals of Mathematics A study on estimation of populatioon mean using modified systematic sampling, interpolation and extrapolation Kim, H. J.;Oh, E.-S.
  11. Annals of Mathematical Statistics v.24 On the theory of systematic sampling, III. Comparison of centered and random start systematic sampling Madow, W. G.
  12. Sampling Theory and Methods Murthy, M. N.
  13. Sankhya v.B27 On optimum pairing of units Sethi, V. K.
  14. Biometrika v.55 On modified systematic sampling Singh, D.;Jindal, K. K.;Garg, J. N.
  15. Philosophical Transactions of the Royal Society of London v.A241 Systematic sampling Yates, F.