Abstract
In this article, we propose a new model to model the spatial count data on a two-dimensional regular grid using binomial thinning operator with dependent Bernoulli counting series. The model is called “first-order spatialdependent count integer-valued autoregressive (Sp-DCINAR(1,1)) model.” Some of its properties have been derived and the estimation of the parameters of the model are obtained by the Yule-Walker method, conditional least squares method and conditional maximum likelihood method. Finally, numerical results are presented together with an application to a two-dimensional practical data set.
Original language | English |
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Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | Communications in Statistics: Simulation and Computation |
Early online date | 18 Jul 2023 |
DOIs | |
Publication status | E-pub ahead of print - 18 Jul 2023 |
Keywords
- 62M10
- 62M30
- Dependent Bernoulli counting series
- Generalized binomial thinning operator
- Integer-valued time series
- Simulation
- Sp-DCINAR(1,1) model
ASJC Scopus subject areas
- Statistics and Probability
- Modelling and Simulation