Moment measures of mixed empirical random point processes and marked point processes in compact metric spaces. 2
Author:
M. G. Semeĭko
Translated by:
S. Kvasko
Journal:
Theor. Probability and Math. Statist. 90 (2015), 175-181
MSC (2010):
Primary 60G55
DOI:
https://doi.org/10.1090/tpms/958
Published electronically:
August 10, 2015
MathSciNet review:
3242029
Full-text PDF Free Access
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Additional Information
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.
References
- M. G. Semeĭko, Moment measures of mixed empirical random point processes and marked point processes in compact metric spaces. 1, Teor. Ĭmovīr. Mat. Stat. 88 (2013), 144–156 (Ukrainian, with English, Russian and Ukrainian summaries); English transl., Theory Probab. Math. Statist. 88 (2014), 161–174. MR 3112642, DOI https://doi.org/10.1090/S0094-9000-2014-00926-6
- Yu. Ī. Petunīn and M. G. Semeĭko, Mixed empirical random point processes in compact metric spaces. I, Teor. Ĭmovīr. Mat. Stat. 74 (2006), 98–107 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 74 (2007), 113–123. MR 2321193, DOI https://doi.org/10.1090/S0094-9000-07-00701-6
- Yu. Ī. Petunīn and M. G. Semeĭko, Mixed empirical random point processes in compact metric spaces. II, Teor. Ĭmovīr. Mat. Stat. 75 (2006), 121–126 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 75 (2007), 139–145. MR 2321187, DOI https://doi.org/10.1090/S0094-9000-08-00720-5
- D. J. Daley and D. Vere-Jones, An introduction to the theory of point processes, Springer Series in Statistics, Springer-Verlag, New York, 1988. MR 950166
References
- 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. MR 3112642
- 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. MR 2321193 (2008f:60053)
- 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. MR 2321187 (2008f:60054)
- D. I. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes, Springer-Verlag, New York, 1988. MR 950166 (90e:60060)
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Additional Information
M. G. Semeĭko
Affiliation:
Department of Higher Mathematics, Faculty for Human Resources Management and Marketing, Kyiv National Vadym Get’man University for Economics, Peremogy Avenue, 54/1, Kyiv 03680, Ukraine
Email:
semejko@ukr.net
Keywords:
Mixed empirical point process,
marked point process,
probability generating function,
moment measures
Received by editor(s):
September 15, 2011
Published electronically:
August 10, 2015
Article copyright:
© Copyright 2015
American Mathematical Society
