๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the influence of moments on approximations by portion of a Chebyshev series in central limit convergence

โœ Scribed by C. C. Heyde; J. R. Leslie


Publisher
Springer
Year
1972
Tongue
English
Weight
493 KB
Volume
21
Category
Article
ISSN
1432-2064

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the convergence of generalized moment
โœ Ildar Ibragimov; Mikhail Lifshits ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 338 KB

Let {~k} be the normalized sums corresponding to a sequence of i.i.d, variables with zero mean and unit variance. Define random measures n k=l and let G be the normal distribution. We show that for each continuous function h satisfying f h dG<~ and a mild regularity assumption, one has limfhdO,=fhdG