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Maximum likelihood estimation for cooperative sequential adsorption


Reference:

Penrose, M. D. and Shcherbakov, V., 2009. Maximum likelihood estimation for cooperative sequential adsorption. Advances in Applied Probability, 41 (4), pp. 978-1001.

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Official URL:

http://dx.doi.org/10.1239/aap/1261669581

Abstract

We consider a model for a time series of spatial locations, in which points are placed sequentially at random into an initially empty region of R-d, and given the current configuration of points, the likelihood at location x for the next particle is proportional to a specified function beta(k) of the current number (k) of points within a specified distance of x. We show that the maximum likelihood estimator of the parameters beta(k) (assumed to be zero for k exceeding some fixed threshold) is consistent in the thermodynamic limit where the number of points grows in proportion to the size of the region.

Details

Item Type Articles
CreatorsPenrose, M. D.and Shcherbakov, V.
DOI10.1239/aap/1261669581
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code18000

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