Testing Hypotheses in the Presence of Nuisance Parameters

  • Bing LiEmail author
  • G. Jogesh Babu
Part of the Springer Texts in Statistics book series (STS)


Hypothesis tests for a vector-valued parameter are considered in this chapter. A single component of the parameter vector is of interest in the test, and the rest of the components the parameter vector are the “nuisance parameters.” The goal is to find a test that maximizes the power over all the components of the parameter vector. Because of the uniform nature of this optimality, it is possible only under rather restrictive conditions. Thus the Uniformly Most Powerful Unbiased tests are considered.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of StatisticsPenn State UniversityUniversity ParkUSA

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