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Two-dimensional symmetric stable distributions and Their projections
Published online by Cambridge University Press: 11 January 2016
Abstract
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We study the problem whether a given 2-dimensional symmetric stable distribution with index α (0 < α ≤ 1) is determined by its 1-dimensional projections in some specified directions. We give some conditions for the affirmative answer and for the negative answer.
Keywords
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- Research Article
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- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 2005
References
[1]
Marcus, D. J., Non-stable laws with all projections stable, Z. Wahrsch. verw. Gebiete, 64 (1983), 139–156.Google Scholar
[2]
Samorodnitsky, G. and Taqqu, M. S., Stable non-Gaussian random processes, Chapman & Hall, New York, 1994.Google Scholar
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