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Convergences stochastiques des processus ponctuels composes a signe

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Analytical Methods in Probability Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 861))

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Abstract

We study a kind of weak convergence of the distributions of compound point processes, when the space of measures is endowed with a topology which is closely related to the variational distance.

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Bibliographie

  1. P. Jacob., Représentations convergentes de mesures et de processus ponctuels. Pub. ISUP, XXIII, 1978.

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  2. P. Jacob., Convergence uniforme à distance finie de mesures signées. Annales I.H.P. Vol. 23, 1980.

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  3. J. Geffroy et H. Zeboulon., Sur certaines convergences stochastiques des mesures aléatoires et des processus ponctuels.Comptes Rendus de l’Académie des Sciences, 280, série A, p. 291 (1975).

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  4. R.M. Dudley., Weak convergence of probability measures on non separable metric spaces and empirical measures on Euclidean spaces Illinois J.M. Vol. 10 p. 109–126 (1966).

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  5. R.M. Dudley., Measures on non separable metric spaces Illinois J. Maths. Vol. 1, p. 449–453 (1967).

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  6. P. Billingsley., Convergence of probability measures. Wiley 1968.

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Daniel Dugué Eugene Lukacs Vijay K. Rohatgi

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© 1981 Springer-Verlag

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Jacob, P. (1981). Convergences stochastiques des processus ponctuels composes a signe. In: Dugué, D., Lukacs, E., Rohatgi, V.K. (eds) Analytical Methods in Probability Theory. Lecture Notes in Mathematics, vol 861. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097316

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  • DOI: https://doi.org/10.1007/BFb0097316

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10823-8

  • Online ISBN: 978-3-540-36785-7

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