Gaussian fluctuations for the two-urn model

HIGHLIGHTS

• What: The authors provide sufficient conditions under which the random variables (Bj (n))n∈N properly normalized and centered converge weakly to a limiting random variable. The authors then continue the process, each time taking an independent (of everything else) copy of the replacement matrix L Note that the model described involves replacement, meaning that the selected ball is placed back into the urn after each draw. What the authors propose here is a more refined branching process where the transition from generation k to generation k + 1 is considered after each member of generation k reproduces . . .
  

   

  

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