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Theory of Probability and Mathematical Statistics



Moment measures of mixed empirical random point processes and marked point processes in compact metric spaces. 2

M. G. Semeĭko

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Abstract: This is a continuation of the paper by M. G. Semeĭko, Moment measures of mixed empirical random point processes and marked point processes in compact metric spaces. I, Theor. Probability and Math. Statist. 88 (2014), 161-174. Moment measures of mixed empirical marked random point processes are investigated by using the probability generating functions of random counting measures.

Keywords: Mixed empirical point process, marked point process, probability generating function, moment measures

Bibliography:
1. M. G. Semeĭko, Moment measures of mixed empirical random point processes and marked point processes in compact metric spaces. I, Teor. Imovirnost. Matem. Statyst. 88 (2013), 144-156; English transl. in Theor. Probability and Math. Statist. 88 (2014), 161-174.
2. Yu. I. Petunin and M. G. Semeĭko, Mixed empirical stochastic point processes in compact metric spaces. I, Teor. Imovirnost. Matem. Statyst. 74 (2006), 98-107; English transl. in Theor. Probability and Math. Statist. 74 (2007), 113-123.
3. Yu. I. Petunin and M. G. Semeĭko, Mixed empirical point random processes in compact metric spaces. II, Teor. Imovirnost. Matem. Statyst. 75 (2006), 121-126; English transl. in Theor. Probability and Math. Statist. 75 (2007), 139-145.
4. D. I. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes, Springer-Verlag, New York, 1988.