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1 results

  • The permanental process

  • Part of
  • Peter McCullagh, Jesper Møller
  • Journal:
    Advances in Applied Probability / Volume 38 / Issue 4 / December 2006
    Published online by Cambridge University Press:
    08 September 2016, pp. 873-888
    Print publication:
    December 2006
    • Article
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  • We extend the boson process first to a large class of Cox processes and second to an even larger class of infinitely divisible point processes. Density and moment results are studied in detail. These results are obtained in closed form as weighted permanents, so the extension is called a permanental process. Temporal extensions and a particularly tractable case of the permanental process are also studied. Extensions of the fermion process along similar lines, leading to so-called determinantal processes, are discussed.