Multivariate Variational Inequalities and the Central Limit Theorem
β Scribed by V. Papathanasiou
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 301 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0047-259X
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β¦ Synopsis
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.
π SIMILAR VOLUMES
We study maps T for which J y T is pseudo-monotone; we call such T a PM-map. This includes compact maps in suitable spaces and pseudo-contractive maps in Hilbert spaces. We study variational inequalities in a situation which was previously done only when T is compact. We show that our variational in
## Abstract Let __f__ be a dominant meromorphic selfβmap of large topological degree on a compact KΓ€hler manifold. We give a new construction of the equilibrium measure ΞΌ of __f__ and prove that ΞΌ is exponentially mixing. As a consequence, we get the central limit theorem in particular for HΓΆlderβc