๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Functional Form of the Isoperimetric Inequality for the Gaussian Measure

โœ Scribed by S. Bobkov

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
367 KB
Volume
135
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Precise Estimates for Differences of the
Precise Estimates for Differences of the Gaussian Hypergeometric Function
โœ G.D Anderson; S.-L Qiu; M Vuorinen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 258 KB

By showing certain combinations of the Gaussian hypergeometric functions ลฝ c . ลฝ d . ลฝ . F a, b; a q b; 1 y x and F a y โฆ, b q โฆ; a q b; 1 y x to be monotone on 0, 1 ลฝ . for given a, b, c, d g 0, ฯฑ , a F b, and cd, the authors study the problem of ร„ ลฝ . ลฝ c . comparing these two functions. They find

ON THE CHOICE OF HEALTH INEQUALITY MEASU
ON THE CHOICE OF HEALTH INEQUALITY MEASURE FOR THE LONGITUDINAL ANALYSIS OF INCOME-RELATED HEALTH INEQUALITIES
โœ Paul Allanson; Dennis Petrie ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 139 KB ๐Ÿ‘ 1 views

Changes in rank-dependent income-related health inequality measures over time may usefully be decomposed into contributions due to changes in health outcomes and changes in individuals' positions in the income distribution. This paper establishes the normative implications of this type of decomposit