ON THE CONVERGENCE OF SUPERPOSITIONS OF POINT PROCESSES
ON THE CONVERGENCE OF SUPERPOSITIONS OF POINT PROCESSES
In this work, we give conditions for the superposition of independent point processes to converge to a nonhomogeneous twodimensional Poisson process. Using our results, not only that of Grigelionis (1963) and Weissman (1975), but also some limiting results related to thinned point processes can be obtained. Hence this establishes the …