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Discrimination of hypotheses for Gaussian measures, and a geometrical characterization of Gaussian distribution

โœ Scribed by M. V. Burnashev


Publisher
SP MAIK Nauka/Interperiodica
Year
1982
Tongue
English
Weight
425 KB
Volume
32
Category
Article
ISSN
0001-4346

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Uniform convexity and the distribution o
โœ WanSoo Rhee; Michel Talagrand ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer ๐ŸŒ English โš– 371 KB

We show that if a Banach space E has a norm [I'll such that the modulus of uniform convexity is bounded below by a power function, then for each Gaussian measure # on E the distribition of the norm for # has a bounded density with respect to Lebesgue measure. This result is optimum in the following