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Mixed empirical stochastic point processes in compact metric spaces. I
Author(s):
Yu.
I.
Petunin;
M.
G.
Semeiko
Translated by:
V. V. Semenov
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 74
(2006).
Journal:
Theor. Probability and Math. Statist.
No. 74
(2007),
113-123.
MSC (2000):
Primary 60G55
Posted:
June 29, 2007
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Abstract:
We study models of finite mixed empirical ordered point processes in compact metric spaces constructed from samples without repetition. We introduce the notion of the generating sequence of the probability measure of an ordered point process. A multidimensional family of distributions is constructed that completely determines the probability distribution of an ordered point process. An example is considered where we evaluate multidimensional distributions.
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Additional Information:
Yu.
I.
Petunin
Affiliation:
Faculty for Cybernetics, Kyiv National Taras Shevchenko University, Volodymyrs'ka Street 64, 01033, Kyiv, Ukraine
Email:
vm214@dcp.kiev.ua
M.
G.
Semeiko
Affiliation:
Department of Higher Mathematics, Kyiv National University for Economy, Peremogy Avenue 54/1, 03057, Kyiv, Ukraine
Email:
semejko@ukr.net
DOI:
10.1090/S0094-9000-07-00701-6
PII:
S 0094-9000(07)00701-6
Received by editor(s):
16/MAR/2005
Posted:
June 29, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
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