Estimation of spatiotemporal poisson processes with missing data

We consider models for spatiotemporal Poisson processes with some missing location data. We discuss four models that make provision for missing location data, and their estimation. The corresponding code is available on GitHub as an extension of LASPATED at https://github.com/vguigues/LASPATED in the Missing_Data subdirectory. We tested our models using the process of emergency call arrivals to an emergency medical service, where the emergency reports often omit the location of the emergency. We show the difference made by using models that make provision for missing location data. Finally, we show how to develop models that deal with missing data of time stamp.

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Publication Details

Journal
Scientific Reports
Published
2026-04-25
DOI
https://doi.org/10.1038/s41598-026-46520-y
Primary Topic
Statistical Methods and Inference
Type
article
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article

Estimation of spatiotemporal poisson processes with missing data

Vincent Guigues, Victor Hugo Nascimento, Lucas Rafael de Andrade, Anton Kleywegt
Scientific Reports
Statistical Methods and Inference
article

Estimation of spatiotemporal poisson processes with missing data

Vincent Guigues, Victor Hugo Nascimento, Lucas Rafael de Andrade, Anton Kleywegt
article en

Abstract

We consider models for spatiotemporal Poisson processes with some missing location data. We discuss four models that make provision for missing location data, and their estimation. The corresponding code is available on GitHub as an extension of LASPATED at https://github.com/vguigues/LASPATED in the Missing_Data subdirectory. We tested our models using the process of emergency call arrivals to an emergency medical service, where the emergency reports often omit the location of the emergency. We show the difference made by using models that make provision for missing location data. Finally, we show how to develop models that deal with missing data of time stamp.

Scientific Reports
Georgia Institute of Technology (US), Faculdades Guarulhos (BR)
Openalex Percentile: Top 5%
Statistical Methods and Inference
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