Sequential estimators and the Cramér-Rao lower bound

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Abstract

While all nonsequential unbiased estimators of the normal mean have variances which must obey the Cramér-Rao inequality, it is shown that some sequential unbiased estimators do not.

References (8)

  • D. Balckwell et al.

    A lower bound for the variance of some unbiased sequential estimates

    Ann. Math. Statist.

    (1947)
  • D.G. Chapman et al.

    Minimum variance estimation without regularity assumptions

    Ann. Math. Statist.

    (1951)
  • Y.S. Chow et al.

    Moments of randomly stopped sums

    Ann. Math. Statist.

    (1965)
  • I.A. Ibragimov et al.

    On sequential estimation of the location parameter for families of distributions with discontinuous densities

    Theor. Probability Appl.

    (1974)
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The work of the author was supported by the National Science Foundation under Grant No. MCS-7801240.

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