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On the renewal measure for Gaussian sequences

✍ Scribed by Fima C Klebaner

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
284 KB
Volume
4
Category
Article
ISSN
0167-7152

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πŸ“œ SIMILAR VOLUMES

A Functional Form of the Isoperimetric I
A Functional Form of the Isoperimetric Inequality for the Gaussian Measure
✍ S. Bobkov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 367 KB

Let g be a smooth function on R n with values in [0, 1]. Using the isoperimetric property of the Gaussian measure, it is proved that ,(8 &1 (Eg))&E,(8 &1 ( g)) E |{g|. Conversely, this inequality implies the isoperimetric property of the Gaussian measure.