Weak Convergence for Exponential and Monotone Likelihood Ratio Families and the Convergence of Confidence Limits

  • Bernard Harris
  • Andrew P. Soms
Conference paper
Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 17)


Two convergence theorems for one-sided confidence limits for exponential and monotone likelehood ratio families are given. In addition, for some special exponential families, the class of discrete limit distributions is characterized and a uniqueness result obtained. Examples of the above results are given. Applications to hypothesis testing and confidence limits are indicated.


Weak convergence confidence limits limit distributions exponential family monotone likelihood ratio family 


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Copyright information

© D. Reidel Publishing Company, Dordrecht-Holland 1975

Authors and Affiliations

  • Bernard Harris
    • 1
  • Andrew P. Soms
    • 2
  1. 1.Mathematics Research CenterUniversity of WisconsinMadisonUSA
  2. 2.G.D. Searle & Co.SkokieUSA

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