Recent content by SunilS

  1. SunilS

    A Relationship between Poisson distribution and Poisson Process

    Yes it is a different thread - I want to avoid proliferation at this time . To me "uncorrelated" means "independent" in the physical sense as in I have some equations that could be used to describe my system but its interactions with a "thermal bath" destroy the determinate nature of the system...
  2. SunilS

    A Relationship between Poisson distribution and Poisson Process

    Actually I just realized that there is a simpler way of posing my problem. I am measuring what should be uncorrelated events but I observe a non-Poisson distribution. Does that mean a) My system has not thermalized (become memoryless/renewed) between observation times? or b) There is a...
  3. SunilS

    A Relationship between Poisson distribution and Poisson Process

    Thank you - I will look at this. The Kingman book should arrive in a few days, so hopefully I will have more insight at that point also.
  4. SunilS

    A Relationship between Poisson distribution and Poisson Process

    I know that a Poisson distribution does not imply a Poisson process, but it is not obvious to me that the inverse mapping works the way I think it does. That's why I am looking for an explicit discussion. I think there is one in Kingman's book but I don't have access right now (working on...
  5. SunilS

    A Relationship between Poisson distribution and Poisson Process

    Apologies if this has been discussed elsewhere. I know a Poisson process implies a Poisson distribution, but does a Poisson distribution imply a Poisson process? and does the absence of a Poisson distribution imply the absence of a Poisson process? TIA - Sunil
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