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Frequentist Properties of the Likelihood

In: Applied Statistical Inference

Author

Listed:
  • Leonhard Held

    (University of Zurich, Institute of Social and Preventive Medicine)

  • Daniel Sabanés Bové

    (University of Zurich, Institute of Social and Preventive Medicine)

Abstract

Frequentist properties of the maximum likelihood estimate of a scalar parameter are derived. The Wald, Score and Likelihood Ratio test statistics and the corresponding confidence intervals are introduced. Variance stabilizing transformations are also discussed. A case study comparing coverage and width of several confidence intervals for a proportion finishes this chapter, completed by a number of exercises at the end.

Suggested Citation

  • Leonhard Held & Daniel Sabanés Bové, 2014. "Frequentist Properties of the Likelihood," Springer Books, in: Applied Statistical Inference, edition 127, chapter 4, pages 79-122, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-37887-4_4
    DOI: 10.1007/978-3-642-37887-4_4
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