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A method of modelling log Gaussian Cox processes
Author(s):
Yu.
V.
Kozachenko;
O.
O.
Pogorilyak
Translated by:
Oleg Klesov
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 77
(2007).
Journal:
Theor. Probability and Math. Statist.
No. 77
(2008),
91-105.
MSC (2000):
Primary 68U20;
Secondary 60G10
Posted:
January 16, 2009
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References |
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Additional information
Abstract:
We consider a method for constructing models of log Gaussian Cox processes with random intensity. Namely, we consider Cox processes whose intensities are generated by a log Gaussian process. The models are constructed with a given accuracy and reliability.
References:
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- 3.
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- O. O. Pogorilyak, Modeling log Gaussian Cox processes, Visnyk Kyiv Taras Shevchenko National University, Ser. Matem. Mekh. 2006, no. 15-16, 94-100. (Ukrainian)
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- Yu. V. Kozachenko and O. O. Pogorilyak, Modeling log Gaussian Cox processes with given reliability and accuracy, Teor. Ĭmovir. Matem. Statyst. 76 (2007), 70-83; English transl. in Theory Probab. Math. Statist. 76 (2008), 77-91. MR 2368741
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Additional Information:
Yu.
V.
Kozachenko
Affiliation:
Department of Probability Theory and Mathematical Statistics, Faculty for Mechanics and Mathematics, National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email:
yvk@univ.kiev.ua
O.
O.
Pogorilyak
Affiliation:
Department of Probability Theory and Mathematical Statistics, Faculty for Mechanics and Mathematics, National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email:
alex_pogorilyak@ukr.net
DOI:
10.1090/S0094-9000-09-00749-2
PII:
S 0094-9000(09)00749-2
Keywords:
Log Gaussian Cox processes,
random intensity,
models of stochastic processes,
accuracy,
reliability
Received by editor(s):
26/DEC/2006
Posted:
January 16, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
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