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Metrika

, Volume 29, Issue 1, pp 95–102 | Cite as

Charakterisierung der zweiseitigen Exponentialverteilung

  • P. Findeisen
Article

Abstract

LetF (θ) be a family of distribution functions with a translation parameter θ such thatF (0) has a densityf. It is well known that each sample median is a maximum likelihood estimate of θ, iff belongs to the classE of all bilateral exponential densities which are symmetric about 0. Here it is shown that, conversely,f∈E holds, either if there is an evenm such that for every sample of sizem each median is an MLE of θ, or if there is an infinite setM such that for every sample of any sizem∈M at least one median is an MLE of θ.

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Copyright information

© Physica-Verlag 1982

Authors and Affiliations

  • P. Findeisen
    • 1
  1. 1.Psychologisches Institut der Universität DüsseldorfDüsseldorf

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