Asymptotic expansions for functionals processes

Abstract : The article provides the direct approach to obtaining formulas for derivatives of functionals of point processes in rare perturbation analysis . Results are obtained for arbitrary (not necessarily stationary) point processes in $R$ and $R^d,\ d\geq 2$, under transparent conditions, close to minimal. Formulas for higher order derivatives allow to construct asymptotical expansions. The results can be useful in sensitivity analysis, in light traffic theory for queues and for computation by simulation of derivatives at positive intensity while the computation of the derivatives via statistical estimation of the functional itself and its increments usually gives poor results.
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Rapport
[Research Report] RR-2236, INRIA. 1994
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https://hal.inria.fr/inria-00074434
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Soumis le : mercredi 24 mai 2006 - 15:17:35
Dernière modification le : samedi 27 janvier 2018 - 01:31:23
Document(s) archivé(s) le : dimanche 4 avril 2010 - 22:17:26

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  • HAL Id : inria-00074434, version 1

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Alexander A. Borovkov. Asymptotic expansions for functionals processes. [Research Report] RR-2236, INRIA. 1994. 〈inria-00074434〉

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