Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Bayesian Inference for Multiple Datasets

Version 1 : Received: 29 March 2024 / Approved: 1 April 2024 / Online: 2 April 2024 (07:17:01 CEST)

How to cite: Retkute, R.; Thurston, W.; Gilligan, C.A. Bayesian Inference for Multiple Datasets. Preprints 2024, 2024040146. https://doi.org/10.20944/preprints202404.0146.v1 Retkute, R.; Thurston, W.; Gilligan, C.A. Bayesian Inference for Multiple Datasets. Preprints 2024, 2024040146. https://doi.org/10.20944/preprints202404.0146.v1

Abstract

Estimating parameters for multiple datasets can be time consuming, especially when the number of datasets is large. One solution is to sample from multiple datasets simultaneously using Bayesian methods such as adaptive multiple importance sampling (AMIS). Here we use the AMIS approach to fit a von Misses distribution to multiple datasets for wind trajectories derived from a Lagrangian Particle Dispersion Model driven from a 3D meteorological data. The primary objective is to characterise the uncertainties in wind trajectories in a form that can be used as inputs for predictive models of wind-dispersed insect pests and pathogens of agricultural crops for use in evaluating risk and in planning mitigation actions. Our results show that AMIS can significantly improve the efficiency of parameter inference for multiple datasets.

Keywords

parameter estimation; adaptive multiple importance sampling; effective sample size; wind direction; pest invasion

Subject

Computer Science and Mathematics, Probability and Statistics

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