, Volume 33, Issue 1, pp 299–305 | Cite as

Non-exponential families of distributions

  • K. C. Klauer


The problem discussed is whether a given setP of mutually equivalent probability distributions constitutes an exponential family or not. As an alternative to the well known characterization by linear independence an analytic method is pointed out which allows one to demonstrate in a relatively easy way that many familiar classes of distributions (e.g. Cauchy-,tn-, logistic-) are not exponential families.

Key words and Phrases

Exponential families exponential representations minimal statistics 


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Copyright information

© Physica-Verlag 1986

Authors and Affiliations

  • K. C. Klauer
    • 1
  1. 1.Institut für Statistik und WirtschaftsmathematikRWTH AachenAachenWest-Germany

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