Journal article
MULTIVARIATE ASYMPTOTIC NORMALITY DETERMINED BY HIGH MOMENTS
Proceedings of the American Mathematical Society, v 152(12), pp 5411-5427
01 Dec 2024
Abstract
We extend a general result showing that the asymptotic behavior of high moments, factorial or standard, of random variables, determines asymptotically normality, from the one dimensional to the multidimensional setting. This approach differs from the usual moment method which requires that the moments of each fixed order converge. We illustrate our results by considering a joint distribution of the numbers of bins (having the same, finite, capacity) containing a prescribed number of balls in a classical allocation scheme.
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Details
- Title
- MULTIVARIATE ASYMPTOTIC NORMALITY DETERMINED BY HIGH MOMENTS
- Creators
- Pawel Hitczenko - Drexel UniversityNick Wormald - Monash University
- Publication Details
- Proceedings of the American Mathematical Society, v 152(12), pp 5411-5427
- Publisher
- American Mathematical Society
- Number of pages
- 17
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001336288800001
- Scopus ID
- 2-s2.0-85207799099
- Other Identifier
- 991022202518604721