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Asymptotes of multidimensional stable distributions relative to parameter α

✍ Scribed by N. Kalinauskaitė

Book ID
105018875
Publisher
Springer
Year
1976
Tongue
English
Weight
135 KB
Volume
16
Category
Article
ISSN
0363-1672

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📜 SIMILAR VOLUMES

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✍ A. Zaigraev 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 216 KB

## Abstract A class of multidimensional __α__ ‐stable distributions is considered. The Poisson spectral measure of each distribution is assumed to be absolutely continuous with respect to the surface Lebesgue measure. The author concentrates his attention on the asymptotic behavior of the __α__ ‐st

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We study consistency and asymptotic normality of posterior distributions of the natural parameter for an exponential family when the dimension of the parameter grows with the sample size. Under certain growth restrictions on the dimension, we show that the posterior distributions concentrate in neig