ingly, spatial-temporal point processes are used to describe environmental processes; in such process. This sort of definition is used by Jacod (), Brémaud (),. Andersen et al. .. Point Processes and Queues: Martingale Dynamics. Download Citation on ResearchGate | Point Processes and queues: martingale dynamics / Pierre Brémaud | Incluye bibliografía e índice }. Point Processes and Queues: Martingale Dynamics. [Pierre Brémaud] — From the Introduction: ” The emphasis has been placed on topics of interest in systems .

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Point Processes and Queues: Description From the Introduction: The level of exposition and the inclusion of a large number of exercises with complete detailed solutions make this book usable as a text for graduate students in applied probability, electrical engineering, computer science, and operations research.


The prerequisites in probability and random processes are recalled in the Appendices. The Best Books of Check out the top books of the year on our page Best Books of Looking for beautiful books?

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Table of contents I Martingales. Histories and Stopping Times. Counting Processes and Queues. Stochastic Intensity, General Case. Random Changes of Time. The Structure of Internal Histories. Regenerative Form of the Intensity. Hilbert-Space Theory of Poissonian Martingales. The Theory of Innovations.


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State Estimates for Queues and Markov Chains. Continuous States and Nontrivial Gremaud. The Historical Results and the Filtering Method. Burke’s Output Theorem for Networks. Cascades and Loops in Jackson’s Networks. Independence and Poissonian Flows in Markov Chains. Radon-Nikodym Derivatives and Tests of Hypotheses. Changes of Intensities “a la Girsanov”. Filtering by the Method of the Probability of Reference.

The Capacity of a Point-Process Channel. Dynamic Programming for Intensity Controls: A Case Study in Impulsive Control. Existence via Likelihood Ratio. Counting Measure and Intensity Kernels.

Martingale Representation and Filtering. Towards a General Theory of Intensity. The Product and Exponential Formulas.