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On estimating domain totals over a subpopulation

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Abstract

A simple random sample is drawn over a finite population which is composed of several subpopulations. Each subpopulation consists several domains. The minimax estimator under squared error loss function for the domain totals over a subpopulation is derived, in which the number of sample units falling into the subpopulation is random.

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References

  • Brown, L. D. (1990). An ancillarity paradox which appears in multiple linear regression (with discussion),Ann. Statist.,18, 471–538.

    Google Scholar 

  • Cochran, W. G. (1977).Sampling Techniques, 3rd ed., Wiley, New York.

    Google Scholar 

  • Durbin, J. (1958). Sampling theory for estimates based on fewer individuals than the number selected,Bull. Internat. Statist. Inst.,36, 113–119.

    Google Scholar 

  • Fisher, R. A. (1935). The logic of inductive inference (with discussion),J. Roy. Statist. Soc. Ser. A,98, 39–54.

    Google Scholar 

  • Guenther, W. C. (1969). Modified sampling, binomial and hypergeometric cases,Technometrics,11, 639–647.

    Google Scholar 

  • Haldane, J. (1945). On a method of estimating frequencies,Biometrika,33, 222–225.

    Google Scholar 

  • Hartley, H. O. (1959).Analytic Studies of Survey Data, volume in honor of Corrado Gini, Istituto di Statistica, Rome.

    Google Scholar 

  • He, K. (1990). An ancillarity paradox in the estimation of multinomial probabilities,J. Amer. Statist. Assoc.,85, 824–828.

    Google Scholar 

  • He, K. (1993). The estimation of stratum means vector with random sample sizes.J. Statist. Plann. Inference,37, 43–50.

    Google Scholar 

  • He, K. (1995). On estimating a linear combination of stratum means with random sample sizes,J. Multivariate Anal. (to appear).

  • Hill, B. M. (1968). Posterior distribution of percentiles: Bayes' theorem for sampling from a population.J. Amer. Statist. Assoc.,63, 677–691.

    Google Scholar 

  • Hill, B. M. (1979). Posterior moments of the number of species in a finite population and the posterior probability of finding a new species,J. Amer. Statist. Assoc.,74, 668–673.

    Google Scholar 

  • Lehmann, E. L. (1983).Theory of Point Estimation, Wiley, New York.

    Google Scholar 

  • Trybula, S. (1958). Some problems of simultaneous minimax estimation,Ann. Math. Statist.,29, 245–253.

    Google Scholar 

  • Yates, F. and Grundy, P. M. (1953). Selection without replacement from within strata with probability proportional to size,J. Roy. Statist. Soc. Ser. B,15, 253–261.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics, University of Kansas, 66045, Lawrence, KS, USA

    Kun He

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  1. Kun He
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Supported by the General Research Fund of the University of Kansas.

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He, K. On estimating domain totals over a subpopulation. Ann Inst Stat Math 47, 637–644 (1995). https://doi.org/10.1007/BF01856538

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  • DOI: https://doi.org/10.1007/BF01856538

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