Multivariate lp-norm symmetric distributions
✍ Scribed by Xinnian Yue; Chunsheng Ma
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 301 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0167-7152
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The construction of a distance function between probability distributions is of importance in mathematical statistics and its applications. The distance function based on the Fisher information metric has been studied by a number of statisticians, especially in the case of the multivariate normal di
## Abstract By using Bernstein‐type inequality we define analogs of spaces of entire functions of exponential type in __L~p~__ (__X__), 1 ≤ __p__ ≤ ∞, where __X__ is a symmetric space of non‐compact. We give estimates of __L~p~__ ‐norms, 1 ≤ __p__ ≤ ∞, of such functions (the Nikolskii‐type inequali