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BINOMIAL CONDITIONAL AUTOREGRESSIVE MODEL OF THE SPACE-TIME DATA AND ITS PROBABILISTIC AND STATISTICAL ANALYSIS

Abstract

The binomial conditional autoregressive model of spatio-temporal data is constructed. The probabilistic properties of the model constructed are studied. The maximum likelihood estimators of parameters of the model based on the observed spatiotemporal data are calculated. The results of computer experiments are presented.

About the Authors

Yu. S. KHARIN
Research Institute for Applied Problems of Mathematics and Informatics of the Belarusian State University, Minsk
Belarus


M. K. ZHURAK
Research Institute for Applied Problems of Mathematics and Informatics of the Belarusian State University, Minsk
Belarus


References

1. Handbook of spatial statistics / A. E. Gelfand [et al.]. – Boca Raton, 2010.

2. Zhuang, L. Spatio-temporal modeling of sudden infant death syndrome data / L. Zhuang, N. Creesie // Stat. Methodol. – 2012. – Vol. 9, N 1–2.

3. Rumisha, S. F. Modelling heterogeneity in malaria transmission using large sparse spatio-temporal entomological data / S. F. Rumisha, T. Smith, S. Abdulla // Global Health Action. – 2014. – Vol. 7.

4. Spatio-temporal modeling of sparse geostatistical malaria sporozoite rate data using a zero inflated binomial model / N. Amek [et al.] // Spatial and Spatio-temporal J. of Epidemiology. – 2011. – Vol. 2, N 4.

5. Hierarchical Bayesian spatiotemporal analysis of revascularization odds using smoothing splines / G. L. Silva [et al.] // Stat. Med. – 2008. – Vol. 15, N 27(13).

6. Kharin, Yu. Statistical Analysis of Spatio-Temporal Data Based on Poisson Conditional Autoregressive Model / Yu. Kharin, M. Zhurak // Informatica. – 2015. – Vol. 26, N 1. – P. 67–87.

7. Харин, Ю. С. Пуассоновская условно авторегрессионная модель и ее оценивание на основе пространственно-временных данных / Ю. С. Харин, M. К. Журак // Весцi НАН Беларусi. Сер. фiз.-мат. навук. – 2013. – № 3. – С. 22–30.

8. Ширяев, А. Н. Вероятность / А. Н. Ширяев. – М.: МГУ, 1957.


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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)