23 citations · 38 across the 29 of their papers we have counts for
8 papers · 1 filter
Kernel based Dirichlet sequences
Patrizia Berti, Emanuela Dreassi, Fabrizio Leisen +2
Let be a sequence of random variables with values in a standard space . Suppose \begin{gather*} X_1\simν\quad\text{and}\quad P\bigl(X_{n+1}\in…
Completely Random Measures and Lévy Bases in Free probability
Francesca Collet, Fabrizio Leisen, Steen Thorbjørnsen
This paper develops a theory for completely random measures in the framework of free probability. A general existence result for free completely random measures is established, and…
Merging exchangeable occupancy models: - models and relation with the maximum entropy principle
Francesca Collet, Fabrizio Leisen, Fabio Spizzichino
In this paper a new transformation of occupancy models, called merging, is introduced. In particular, it will be studied the effect of merging on a class of occupancy models that w…
New isometry of Krall-Laguerre orthogonal polynomials in martingale spaces
Edmundo J. Huertas, Nuria Torrado, Fabrizio Leisen
Sets of orthogonal martingales are importants because they can be used as stochastic integrators in a kind of chaotic representation property, see [20]. In this paper, we revisited…
Exchangeable Occupancy Models and Discrete Processes with the Generalized Uniform Order Statistics Property
Francesca Collet, Fabrizio Leisen, Fabio Spizzichino +1
This work focuses on Exchangeable Occupancy Models (EOM) and their relations with the Uniform Order Statistics Property (UOSP) for point processes in discrete time. As our main pur…
Free Completely Random Measures
Francesca Collet, Fabrizio Leisen
In this paper a free analogous of completely random measure is introduced. Furthermore, a representation theorem is proved for free completely random measures that are free infinit…
Limiting behavior of the search cost distribution for the move-to-front rule in the stable case
Fabrizio Leisen, Antonio Lijoi, Christian Paroissin
Move-to-front rule is a heuristic updating a list of n items according to requests. Items are required with unknown probabilities (or popularities). The induced Markov chain is kno…
Conditionally identically distributed species sampling sequences
Federico Bassetti, Irene Crimaldi, Fabrizio Leisen
Conditional identity in distribution (Berti et al. (2004)) is a new type of dependence for random variables, which generalizes the well-known notion of exchangeability. In this pap…