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...
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...
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...
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