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Asymptotic normality of the maximum likelihood estimator for cooperative sequential adsorption. (English) Zbl 1235.62025
Summary: We consider statistical inference for a parametric cooperative sequential adsorption model for spatial time series data, based on maximum likelihood. We establish asymptotic normality of the maximum likelihood estimator in the thermodynamic limit. We also perform and discuss some numerical simulations of the model, which illustrate the procedure for creating confidence intervals for large samples.

MSC:
62F12 Asymptotic properties of parametric estimators
62M30 Inference from spatial processes
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
60K35 Interacting random processes; statistical mechanics type models; percolation theory
62L99 Sequential statistical methods
65C60 Computational problems in statistics (MSC2010)
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