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.
Keywords
- Convergence Stochastiques
- Nous Allons
- Nous Noterons
- Premiere Partie
- Appelee Processus
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Bibliographie
P. Jacob., Représentations convergentes de mesures et de processus ponctuels. Pub. ISUP, XXIII, 1978.
P. Jacob., Convergence uniforme à distance finie de mesures signées. Annales I.H.P. Vol. 23, 1980.
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).
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).
R.M. Dudley., Measures on non separable metric spaces Illinois J. Maths. Vol. 1, p. 449–453 (1967).
P. Billingsley., Convergence of probability measures. Wiley 1968.
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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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