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9 results on '"Suter, Florentina"'

1. Exchangeable Occupancy Models and Discrete Processes with the Generalized Uniform Order Statistics Property

Author

Collet, Francesca, Leisen, Fabrizio, Spizzichino, Fabio, and Suter, Florentina

Subjects
Mathematics - Probability, Mathematics - Statistics Theory, 62G30, 60G09, 60G55
Abstract

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 purpose, we show how definitions and results presented in Shaked, Spizzichino and Suter (2004) can be unified and generalized in the frame of occupancy models. We first show some general facts about EOM's. Then we introduce a class of EOM's, called $\mathcal{M}^{(a)}$-models, and a concept of generalized Uniform Order Statistics Property in discrete time. For processes with this property, we prove a general characterization result in terms of $\mathcal{M}^{(a)}$-models. Our interest is also focused on properties of closure w.r.t. some natural transformations of EOM's., Comment: 27 pages

Published
2011

3. Exchangeable Occupancy models and discrete processes with the generalized uniform statistics property

Author

Leisen, Fabrizio, Collet, Francesca, Spizzichino, Fabio, Suter, Florentina, Leisen, Fabrizio, Collet, Francesca, Spizzichino, Fabio, and Suter, Florentina

Abstract

This work focuses on Exchangeable Occupancy Models (EOMs) and their relations with the Uniform Order Statistics Property (UOSP) for point processes in discrete time. As our main purpose, we show how definitions and results presented in Shaked, Spizzichino, and Suter [8] can be unified and generalized in the frame of occupancy models. We first show some general facts about EOMs. Then we introduce a class of EOMs, called ?(a)-models, and a concept of generalized Uniform Order Statistics Property in discrete time. For processes with this property, we prove a general characterization result in terms of ?(a)-models. Our interest is also focused on properties of closure w.r.t. some natural transformations of EOMs.

Published
2013

8. UNIFORM ORDER STATISTICS PROPERTY AND ℓ<inf>∞</inf>-SPHERICAL DENSITIES

Author

Shaked, Moshe, Spizzichino, Fabio, and Suter, Florentina

Abstract

In this article, we observe that processes with the uniform order statistics property (UOSP) can be characterized by the condition that their first n epoch times have a joint ℓ∞≤-spherical density, n ≥ 1. Some related results, and some further properties of ℓ∞≤-spherical densities, are also given. We also extend some of the results regarding the UOSP to the more general (not necessarily uniform) order statistics property. Finally, we develop a theory of discrete-time discrete-state processes with the UOSP, where the need to consider multiple jumps, at a single time point, arises.

Published
2004

9. NONHOMOGENEOUS BIRTH PROCESSES AND <e1>l</e1><inf>∞</inf>-SPHERICAL DENSITIES, WITH APPLICATIONS IN RELIABILITY THEORY

Author

Shaked, Moshe, Spizzichino, Fabio, and Suter, Florentina

Abstract

In this article we characterize l∞-spherical density functions by means of epoch times of nonhomogeneous pure birth processes. Some further properties of l∞-spherical densities, such as Schur-concavity, positive dependence, and stochastic comparisons, are also given. The relationships of l∞-spherical densities to notions of interest in reliability theory are highlighted.

Published
2002
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