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A correction to Kallenbergs theorem for jointly exchangeable random measures

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 Added by Souvik Dhara
 Publication date 2019
  fields
and research's language is English




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Kallenberg (2005) provided a necessary and sufficient condition for the local finiteness of a jointly exchangeable random measure on $R_+^2$. Here we note an additional condition that was missing in Kallenbergs theorem, but was implicitly used in the proof. We also provide a counter-example when the additional condition does not hold.



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