Temporal Configuration Model: Statistical Inference and Spreading Processes
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909259296407552 |
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| author | Le, Thien-Minh Hambridge, Hali Onnela, Jukka-Pekka |
| author_facet | Le, Thien-Minh Hambridge, Hali Onnela, Jukka-Pekka |
| contents | We introduce a family of parsimonious network models that are intended to generalize the configuration model to temporal settings. We present consistent estimators for the model parameters and perform numerical simulations to illustrate the properties of the estimators on finite samples. We also develop analytical solutions for basic and effective reproductive numbers for the early stage of discrete-time SIR spreading process. We apply three distinct temporal configuration models to empirical student proximity networks and compare their performance. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_12175 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Temporal Configuration Model: Statistical Inference and Spreading Processes Le, Thien-Minh Hambridge, Hali Onnela, Jukka-Pekka Methodology We introduce a family of parsimonious network models that are intended to generalize the configuration model to temporal settings. We present consistent estimators for the model parameters and perform numerical simulations to illustrate the properties of the estimators on finite samples. We also develop analytical solutions for basic and effective reproductive numbers for the early stage of discrete-time SIR spreading process. We apply three distinct temporal configuration models to empirical student proximity networks and compare their performance. |
| title | Temporal Configuration Model: Statistical Inference and Spreading Processes |
| topic | Methodology |
| url | https://arxiv.org/abs/2407.12175 |