Limit theorems for Non-Markovian rumor models

2024/07/09 by Coletti, Cristian F., Luiz, Denis A. · 1 citation
#60F17 (Secundary) #60G55 (Primary) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2407.07170

Abstract

We introduce a non-Markovian rumor model in the complete graph on n vertices inspired by Daley and Kendall's ideas (1964). For this model, we prove a functional law of large numbers (FLLN) and a functional central limit theorem (FCLT). We apply these results to a non-Markovian version of the model introduced by Lebensztayn, Machado and Rodríguez (2011).

Cited by

• The Maki-Thompson Model with Spontaneous Stifling on Symmetric Networks

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