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2022 Dominating occupancy processes by the independent site approximation
Ross McVinish
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Electron. Commun. Probab. 27: 1-10 (2022). DOI: 10.1214/22-ECP499

Abstract

Occupancy processes are a broad class of discrete time Markov chains on {0,1}n encompassing models from ecology and epidemiology. This model is compared to a collection of n independent Markov chains on {0,1}, which we call the independent site model. We establish conditions under which an occupancy process is smaller in the lower orthant order than the independent site model. An analogous result for spin systems follows by a limiting argument.

Acknowledgments

We would like to thank the two reviewers for their helpful comments and suggestions.

Citation

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Ross McVinish. "Dominating occupancy processes by the independent site approximation." Electron. Commun. Probab. 27 1 - 10, 2022. https://doi.org/10.1214/22-ECP499

Information

Received: 6 December 2021; Accepted: 12 November 2022; Published: 2022
First available in Project Euclid: 18 November 2022

Digital Object Identifier: 10.1214/22-ECP499

Subjects:
Primary: 60J10 , 60J27 , 60K35

Keywords: lower orthant order , multivariate stochastic ordering , propagation of chaos , Spin system

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