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2001 $L^1$-Norm of Infinitely Divisible Random Vectors and Certain Stochastic Integrals
Michael Marcus, Jan Rosinski
Author Affiliations +
Electron. Commun. Probab. 6: 15-29 (2001). DOI: 10.1214/ECP.v6-1031

Abstract

Equivalent upper and lower bounds for the $L^1$ norm of Hilbert space valued infinitely divisible random variables are obtained and used to find bounds for different types of stochastic integrals.

Citation

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Michael Marcus. Jan Rosinski. "$L^1$-Norm of Infinitely Divisible Random Vectors and Certain Stochastic Integrals." Electron. Commun. Probab. 6 15 - 29, 2001. https://doi.org/10.1214/ECP.v6-1031

Information

Accepted: 10 January 2001; Published: 2001
First available in Project Euclid: 19 April 2016

zbMATH: 0976.60027
MathSciNet: MR1817886
Digital Object Identifier: 10.1214/ECP.v6-1031

Subjects:
Primary: 60E07
Secondary: 60E15 , 60H05

Keywords: Infinitely divisible random variables , stochastic integrals

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