Asymptotic Properties in Finite Populations

  • Heleno Bolfarine
  • Shelemyahu Zacks
Part of the Springer Series in Statistics book series (SSS)


In this chapter, we discuss limiting properties of predictors of finite population quantities. Both, the sample size and the population size should be large. Some limiting properties like consistency and asymptotic normality of certain predictors, under certain regression models, are considered. First we discuss conditions under which linear predictors of the population total T are asymptotically normal. Consistent estimators of the prediction variance are also considered. Next we investigate the limiting behavior of predictors of β N .


Covariance Nite 


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Copyright information

© Springer-Verlag New York Inc. 1992

Authors and Affiliations

  • Heleno Bolfarine
    • 1
  • Shelemyahu Zacks
    • 2
  1. 1.Department of Statistics, Institute of Mathematics and StatisticsUniversity of Sao PauloSao PauloBrazil
  2. 2.Department of Mathematical SciencesState University of New York at BinghamtonBinghamtonUSA

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