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20152026
most citedInteracting generalized Friedman's urn systems

20 citations · 92 across the 16 of their papers we have counts for

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9 papers · 1 filter

math.PR2026

Triggered urn models for frequently asked questions (FAQ)

Irene Crimaldi, Andrea Ghiglietti, Leen Hatem +1

We investigate a nonclassic urn model with triggers that increase the number of colors. The scheme has emerged as a model for web services that set up frequently asked questions (F…

math.PR2022★ 1 cited

Networks of reinforced stochastic processes: probability of asymptotic polarization and related general results

Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti

In a network of reinforced stochastic processes, for certain values of the parameters, all the agents' inclinations synchronize and converge almost surely toward a certain random v…

math.PR2022★ 2 cited

Networks of reinforced stochastic processes: a complete description of the first-order asymptotics

Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti

We consider a finite collection of reinforced stochastic processes with a general network-based interaction among them. We provide sufficient and necessary conditions in order to h…

math.PR2018★ 13 cited

Interacting reinforced stochastic processes: statistical inference based on the weighted empirical means

Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti

This work deals with a system of interacting reinforced stochastic processes, where each process is located at a vertex of a finite weighted direct graph, and…

math.PR2017★ 7 cited

Networks of reinforced stochastic processes: asymptotics for the empirical means

Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti

This work deals with systems of interacting reinforced stochastic processes, where each process is located at a vertex of a finite weighted direct graph, and…

math.PR2016★ 19 cited

Synchronization of Reinforced Stochastic Processes with a Network-based Interaction

Giacomo Aletti, Irene Crimaldi, Andrea Ghiglietti

Randomly evolving systems composed by elements which interact among each other have always been of great interest in several scientific fields. This work deals with the synchroniza…

math.PR2016★ 20 cited

Interacting generalized Friedman's urn systems

Giacomo Aletti, Andrea Ghiglietti

We consider systems of interacting Generalized Friedman's Urns (GFUs) having irreducible mean replacement matrices. The interaction is modeled through the probability to sample the…

math.PR2015★ 10 cited

Dynamics of an Adaptive Randomly Reinforced Urn

Giacomo Aletti, Andrea Ghiglietti, Anand Vidyashankar

Adaptive randomly reinforced urn (ARRU) is a two-color urn model where the updating process is defined by a sequence of non-negative random vectors …

math.PR2015

Central limit Theorem for an Adaptive Randomly Reinforced Urn Model

Andrea Ghiglietti, Anand N. Vidyashankar, William F. Rosenberger

The generalized Pòlya urn (GPU) models and their variants have been investigated in several disciplines. However, typical assumptions made with respect to the GPU do not include ur…