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

Leisen, Fabrizio, Collet, Francesca, Spizzichino, Fabio, Suter, Florentina (2013) Exchangeable Occupancy models and discrete processes with the generalized uniform statistics property. Probability in the Engineering and Informational Sciences, 27 (04). pp. 533-552. ISSN 0269-9648. (doi:10.1017/S0269964813000247) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1017/S0269964813000247

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.

Item Type: Article
DOI/Identification number: 10.1017/S0269964813000247
Subjects: Q Science > QA Mathematics (inc Computing science) > QA273 Probabilities
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Fabrizio Leisen
Date Deposited: 07 Jun 2014 09:42 UTC
Last Modified: 01 Aug 2019 10:36 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/36521 (The current URI for this page, for reference purposes)
Leisen, Fabrizio: https://orcid.org/0000-0002-2460-6176
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