FANG XU, A CENTRAL LIMIT THEOREM ASSOCIATED WITH THE TRANSFORMED TWO-PARAMETER POISSON—DIRICHLET DISTRIBUTION, Journal of Applied Probability, Vol. 46, No. 2 (JUNE 2009), pp. 392-401 ...
Prékòpa's theorem gives a qualitative sufficient condition for a completely random point process to be Poisson. A generalization of this theorem is presented. The proof is elementary and uses a ...