A New Estimator of Population Mean Based on Centered Balanced Systematic Sampling

  • Kim, Hyuk-Joo (Division of Mathematical Science, Wonkwang University)
  • Published : 2000.04.30

Abstract

We propose a new method for estimating the mean of a population which has a linear trend. The suggested estimator is based on the centered balanced systematic sampling method and the concept of interpolation and extrapolation. The efficiency of the proposed method is compared with that of existing methods.

References

  1. Journal of Korean Data and Information Science Society v.10 A study on estimating population mean by use of interpolation and extrapolation with balanced systematics sampling Kim, H. J.
  2. Sampling Theory and Methods Murthy, M. N.
  3. Philosophical Transactions of the Royal Society of London v.A241 Systematic sampling Yates, F.
  4. Annals of Mathematical Statistics v.17 Relative accuracy of systematic and stratified random samples for a certain class of populations Cochran, W. G.
  5. Biometrika v.62 Systematic sampling in the presence of a trend Bellhouse, D. R.;Rao, J. N. K.
  6. Proceedings of the Autumn Conference of the Korean Statistical Society Improved estimation of population mean using balanced systematic sampling and interpolation Kim, H. J.
  7. Sankhya v.B27 On optimum pairing of units Sethi, V. K.
  8. Unpublished Thesis, Department of Computer Science and Statistics, Seoul National University New systematic sampling methods for populations with linear or parabolic trends Kim, H. J.
  9. Biometrika v.55 On modified systematic sampling Singh, D.;Jindal, K. K.;Garg, J. N.
  10. Annals of Mathematical Statistics v.24 On the theory of systematic sampling, Ⅲ. Comparison of centered and random start systematic sampling Madow, W. G.
  11. Korean Annals of Mathematics v.15 Estimation of population mean using interpolation in modified systematic sampling Kim, H. J.