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On the Application of a Smoothness Function in Proving a Local Limit Theorem

โœ Scribed by Gamkrelidze, N. G.


Book ID
118220726
Publisher
Society for Industrial and Applied Mathematics
Year
1989
Tongue
English
Weight
362 KB
Volume
33
Category
Article
ISSN
0040-585X

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๐Ÿ“œ SIMILAR VOLUMES


On a local limit theorem in strong sense
โœ N.G. Gamkrelidze ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 222 KB

In this paper, a straightforward extension of the classical local limit theorem is given. In particular, necessary and sufficient conditions for local limit theorem are presented in terms of function of smoothness.

A note on the multivariate local limit t
โœ M. Bloznelis ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

Given a Gaussian distribution G in l 2 we construct l 2 -valued i.i.d. random variables X 1 ; X 2 ; : : : such that: absolutely continuous with respect to G, and the total variation |F n -G| 9 0. This contrasts to Prokhorov's (Dokl. Akad. Nauk SSSR (N.S) 83 (1952) 797) local limit theorem in R k .

On a Weak Form of a Local Limit Theorem
โœ Mukhin, A. B. ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 323 KB