A Strong Form of Stable Convergence

Crimaldi, Irene; Letta, Giorgio; Pratelli, Luca

doi:10.1007/978-3-540-71189-6_9

Irene Crimaldi⁸,
Giorgio Letta⁹ &
Luca Pratelli¹⁰

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1899))

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We introduce and study a strengthening of the notion of stable convergence. Key words: Conditional distribution, Conditional expectation, Convergence in L1, Stable convergence, Central limit theorems.

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Article Open access 01 April 2023

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Authors and Affiliations

Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy
Irene Crimaldi
Department of Mathematics, University of Pisa Largo Bruno, Pontecorvo 5, 56127, Pisa, Italy
Giorgio Letta
Accademia Navale, Viale Italia 72, 57100, Livorno, Italy
Luca Pratelli

Authors

Irene Crimaldi
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Giorgio Letta
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Luca Pratelli
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Editors and Affiliations

Université Pierre et Marie Curie Boîte courrier 188, 4, place Jussieu, 75252, Paris cedex 05, France
Catherine Donati-Martin
Université Louis Pasteur, 7, rue René Descartes, 67084, Strasbourg cedex, France
Michel Émery
Université Versailles-Saint-Quentin, 45, avenue des Etats-Unis, 78035, Versailles cedex, France
Alain Rouault
Université de Besançon, 16, route de Gray, 25030, Besançon cedex, France
Christophe Stricker

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Crimaldi, I., Letta, G., Pratelli, L. (2007). A Strong Form of Stable Convergence. In: Donati-Martin, C., Émery, M., Rouault, A., Stricker, C. (eds) Séminaire de Probabilités XL. Lecture Notes in Mathematics, vol 1899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71189-6_9

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DOI: https://doi.org/10.1007/978-3-540-71189-6_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71188-9
Online ISBN: 978-3-540-71189-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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