Noisy voter model for the anomalous diffusion of parliamentary presence

We examine the parliamentary presence data of the 2008-2012 and 2012-2016 legislatures of the Lithuanian parliament. We consider the cumulative presence series of each individual representative in the data set. These series exhibit superdiffusive behavior. We propose a modified noisy voter model as a model for the parliamentary presence. We provide detailed analysis of the anomalous diffusion of the individual agent trajectories and show that the modified model is able to reproduce the empirical statistical properties.