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 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 M-(a)-models. Our interest is also focused on properties of closure w.r.t. some natural transformations of EOMs.

EXCHANGEABLE OCCUPANCY MODELS AND DISCRETE PROCESSES WITH THE GENERALIZED UNIFORM ORDER STATISTICS PROPERTY / Francesca, Collet; Fabrizio, Leisen; Spizzichino, Fabio; Florentina, Suter. - In: PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. - ISSN 0269-9648. - STAMPA. - 27:4(2013), pp. 533-552. [10.1017/s0269964813000247]

EXCHANGEABLE OCCUPANCY MODELS AND DISCRETE PROCESSES WITH THE GENERALIZED UNIFORM ORDER STATISTICS PROPERTY

SPIZZICHINO, Fabio;
2013

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 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 M-(a)-models. Our interest is also focused on properties of closure w.r.t. some natural transformations of EOMs.
2013
generalized mixed-geometric processes; random sampling of arrivals; transformations of occupancy models
01 Pubblicazione su rivista::01a Articolo in rivista
EXCHANGEABLE OCCUPANCY MODELS AND DISCRETE PROCESSES WITH THE GENERALIZED UNIFORM ORDER STATISTICS PROPERTY / Francesca, Collet; Fabrizio, Leisen; Spizzichino, Fabio; Florentina, Suter. - In: PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. - ISSN 0269-9648. - STAMPA. - 27:4(2013), pp. 533-552. [10.1017/s0269964813000247]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/514809
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