𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Probability inequalities for convex sets and multidimensional concentration functions

✍ Scribed by Marek Kanter

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
743 KB
Volume
6
Category
Article
ISSN
0047-259X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Logarithmic Convexity and Inequalities f
Logarithmic Convexity and Inequalities for the Gamma Function
✍ Milan Merkle πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 132 KB

We propose a method, based on logarithmic convexity, for producing sharp Ž . Ž . bounds for the ratio ⌫ x q ␀ r⌫ x . As an application, we present an inequality that sharpens and generalizes inequalities due to Gautschi, Chu, Boyd, Lazarevic-Ĺupas ¸, and Kershaw.

Perturbation Inequalities and Confidence
Perturbation Inequalities and Confidence Sets for Functions of a Scatter Matrix
✍ Lutz DΓΌmbgen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 426 KB

Let 7 be an unknown covariance matrix. Perturbation (in)equalities are derived for various scale-invariant functionals of 7 such as correlations (including partial, multiple and canonical correlations) or angles between eigenspaces. These results show that a particular confidence set for 7 is canoni