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Testing Statistical Hypotheses

  • Erling B. Andersen
  • Niels-Erik Jensen
  • Nils Kousgaard

Abstract

A statistical hypothesis is an assumption concerning the distribution of random variables. For example, let X1,…,Xn be independent and identically distributed random variables. A typical statistical hypothesis could then be that these variables are Poisson distributed with mean 2. Such a hypothesis is called a simple hypothesis because it completely specifies the distribution of the random variables. A different hypothesis would be that the random variables are normally distributed with mean 0 and unknown variance σ2. Such a hypothesis is said to be composite, since a class of distributions is specified.

Keywords

Null Hypothesis Likelihood Ratio Test Critical Region Migraine Attack Statistical Hypothesis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1987

Authors and Affiliations

  • Erling B. Andersen
    • 1
  • Niels-Erik Jensen
    • 1
  • Nils Kousgaard
    • 1
  1. 1.Institute of StatisticsUniversity of CopenhagenCopenhagen KDenmark

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