20 citations · 92 across the 16 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
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 …
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…