Characterizations of multiparameter Cox and Poisson processes by the renewal property

نویسندگان

  • Ely Merzbach
  • Yair Y. Shaki
چکیده

In the first part of this paper, we give two characterizations of the multiparameter Poisson process: one characterization of poisson process using the renewal property in the space R+, and the other one using the exponential distributions of random areas of rectangles. Finally, we generalize partly a characterization of the randommeasure associated with a renewal Cox process in R+.

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تاریخ انتشار 2007