Estimation de l'État d'une file d'attente et du temps de panne d'une machine par la méthode de semi-martingales

Author:

Brémaud P.

Abstract

We establish the estimation equations corresponding to a system in which the state is a process with jumps and the observation is a point process. We then solve two problems: the estimation of the state of a queue when its output is observed, and the estimation of the time of disorder of a machine when the ‘complaints process’ is observed.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference20 articles.

1. Regular point processes and their detection;Rubin;IEEE Trans.,1972

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1. The Structure of Local Martingales, Absolute Continuity of Measures for Point Processes, and Filtering;Stochastic Modelling and Applied Probability;2001

2. Bibliograpy;Probabilities and Potential B - Theory of Martingales;1982

3. References Supplement;North-Holland Series in Applied Mathematics and Mechanics;1982

4. Filtering formulas and the ./M/1 queue in a quasireversible network;Stochastics;1981-12-15

5. Flows in Markovian Networks of Queues;Springer Series in Statistics;1981

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