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Modelos multiestado de reemplazamiento con reparación imperfecta.

Alfredo García Güemes (1987)

Trabajos de Investigación Operativa

Gran parte de los autores que han escrito sobre políticas estocásticas de reemplazamiento, han estado frecuentemente manteniendo dos supuestos en los modelos por ellos presentados:a) el sistema sólo tiene dos estados posibles, unos de funcionamiento y otro de avería.b) tras la avería, el sistema es reparado o reemplazado, quedando "tan bien como nuevo".En este artículo se obtienen unas funciones de coste, para sistemas en los cuales no pueden mantenerse estos supuestos. A través de estas funciones...

Models of Alternating Renewal Process at Discrete Time

Bousseboua, Moussedek, Lazhar Rahmani, Fouad (2001)

Serdica Mathematical Journal

We study a class of models used with success in the modelling of climatological sequences. These models are based on the notion of renewal. At first, we examine the probabilistic aspects of these models to afterwards study the estimation of their parameters and their asymptotical properties, in particular the consistence and the normality. We will discuss for applications, two particular classes of alternating renewal processes at discrete time. The first class is defined by laws of sojourn time...

Moderate deviations for a Curie–Weiss model with dynamical external field

Anselm Reichenbachs (2013)

ESAIM: Probability and Statistics

In the present paper we prove moderate deviations for a Curie–Weiss model with external magnetic field generated by a dynamical system, as introduced by Dombry and Guillotin-Plantard in [C. Dombry and N. Guillotin-Plantard, Markov Process. Related Fields 15 (2009) 1–30]. The results extend those already obtained for the Curie–Weiss model without external field by Eichelsbacher and Löwe in [P. Eichelsbacher and M. Löwe, Markov Process. Related Fields 10 (2004) 345–366]. The Curie–Weiss model with...

Moment measures of heavy-tailed renewal point processes: asymptotics and applications

Clément Dombry, Ingemar Kaj (2013)

ESAIM: Probability and Statistics

We study higher-order moment measures of heavy-tailed renewal models, including a renewal point process with heavy-tailed inter-renewal distribution and its continuous analog, the occupation measure of a heavy-tailed Lévy subordinator. Our results reveal that the asymptotic structure of such moment measures are given by explicit power-law density functions. The same power-law densities appear naturally as cumulant measures of certain Poisson and Gaussian stochastic integrals. This correspondence...

Monotonicity and comparison results for nonnegative dynamic systems. Part II: Continuous-time case

Nico M. van Dijk, Karel Sladký (2006)

Kybernetika

This second Part II, which follows a first Part I for the discrete-time case (see [DijkSl1]), deals with monotonicity and comparison results, as generalization of the pure stochastic case, for stochastic dynamic systems with arbitrary nonnegative generators in the continuous-time case. In contrast with the discrete-time case the generalization is no longer straightforward. A discrete-time transformation will therefore be developed first. Next, results from Part I can be adopted. The conditions,...

Multiclass Hammersley–Aldous–Diaconis process and multiclass-customer queues

Pablo A. Ferrari, James B. Martin (2009)

Annales de l'I.H.P. Probabilités et statistiques

In the Hammersley–Aldous–Diaconis process, infinitely many particles sit in ℝ and at most one particle is allowed at each position. A particle at x, whose nearest neighbor to the right is at y, jumps at rate y−x to a position uniformly distributed in the interval (x, y). The basic coupling between trajectories with different initial configuration induces a process with different classes of particles. We show that the invariant measures for the two-class process can be obtained as follows. First,...

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