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Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes pp 145–154Cite as

On Some Subclasses of Operator Semi-Stable and Operator Lévy’s Measures on ℝN

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Abstract

In the paper two classes of probability measures on ℝN are characterized: the intersection of operator semi-stable measures and Lévy’s measures, and the intersection of operator Lévy’s measures and semi-stable ones. The description is given in terms of the characteristic functions and generalizes, in a natural way, the known result for measures on ℝ.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Łódź University, ul. Banacha 22, 90-238, Łódź, Poland

    Andrzej Łuczak

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  1. Andrzej Łuczak
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© 1988 Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Łuczak, A. (1988). On Some Subclasses of Operator Semi-Stable and Operator Lévy’s Measures on ℝN . In: Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes. Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, vol 10A-B. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9913-4_18

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  • DOI: https://doi.org/10.1007/978-94-010-9913-4_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-9915-8

  • Online ISBN: 978-94-010-9913-4

  • eBook Packages: Springer Book Archive

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