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On a model of sequential point patterns

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Abstract

A finite point process motivated by the cooperative sequential adsorption model is proposed. Analytical properties of the point process are considered in details. It is shown that the introduced point process is useful for modeling both aggregated and regular point patterns. A possible scheme of maximum likelihood estimation of the process parameters is briefly discussed.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK

    V. Shcherbakov

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  1. V. Shcherbakov
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Correspondence to V. Shcherbakov.

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V. Shcherbakov is on leave from Laboratory of Large Random Systems, Faculty of Mathematics and Mechanics, Moscow State University, Moscow.

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Shcherbakov, V. On a model of sequential point patterns. Ann Inst Stat Math 61, 371–390 (2009). https://doi.org/10.1007/s10463-007-0147-z

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  • DOI: https://doi.org/10.1007/s10463-007-0147-z

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