๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Variational Inequalities for Arbitrary Multivariate Distributions

โœ Scribed by N. Papadatos; V. Papathanasiou

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
276 KB
Volume
67
Category
Article
ISSN
0047-259X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Upper bounds for the total variation distance between two arbitrary multivariate distributions are obtained in terms of the corresponding w-functions. The results extend some previous inequalities satisfied by the normal distribution. Some examples are also given.

๐Ÿ“œ SIMILAR VOLUMES

Multivariate Variational Inequalities an
Multivariate Variational Inequalities and the Central Limit Theorem
โœ V. Papathanasiou ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 301 KB

Multivariate variational inequalities are obtained in terms of the w-functions and the trace of a Fisher-type information matrix. In consequence of these inequalities, the multivariate central limit theorem arises in the sense of the total variation.

Penalty Method for Variational Inequalit
Penalty Method for Variational Inequalities
โœ Rizwan Butt ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

In this paper we deal with the existence theory for a problem and give the proof of the existence by a penalty argument. We shall treat the problem for a variational inequality by introducing the penalized differential equation and then taking the limits of the equation resulting from the penalized

New Approximation Schemes for General Va
New Approximation Schemes for General Variational Inequalities
โœ Muhammad Aslam Noor ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB

In this paper, we suggest and consider a class of new three-step approximation schemes for general variational inequalities. Our results include Ishikawa and Mann iterations as special cases. We also study the convergence criteria of these schemes.