On Two Aproaches to Approximation of Multidimensional Stable Laws
โ Scribed by Yu. Davydov; A.V. Nagaev
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 193 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0047-259X
No coin nor oath required. For personal study only.
โฆ Synopsis
Each a-stable distribution can be approximated either by an a-stable distribution with a discrete Poisson spectrum or by a sum of i.i.d. random vectors. Here we give results on the accuracy that can be achieved under both these ways of approximation. They are purely theoretical and aim to outline possible direction of further investigations.
๐ SIMILAR VOLUMES
Let Xi, i = 1, 2, . . ., be i.i.d. symmetric random variables in the domain of attraction of o symmetric stable distribution (J, with 0 < a < 2. Let Yj, i = 1, 2, ..., be ii.d. symmetric stable random variables with the common distribution a,. It is known that under certain condi-
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