• Title/Summary/Keyword: Non-negative definite quadratic form

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Non-negative Unbiased MSE Estimation under Stratified Multi-stage Sampling

  • Kim, Kyuseong
    • Journal of the Korean Statistical Society
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    • v.30 no.4
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    • pp.637-644
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    • 2001
  • We investigated two kinds of mean square error (MSE) estimator of homogeneous linear estimator (HLE) for the population total under stratified multi-stage sampling. One is studied when the second stage variance component is estimable and the other is found in cafe it is not estimable. The proposed estimators are necessary forms of non-negative unbiased MSE estimators of HLE.

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