تقرير
Multivariate asymptotic normality determined by high moments
العنوان: | Multivariate asymptotic normality determined by high moments |
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المؤلفون: | HItczenko, Pawel, Wormald, Nick |
سنة النشر: | 2023 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Probability, Mathematics - Combinatorics, 60C05 |
الوصف: | We extend a general result showing that the asymptotic behavior of high moments, factorial or standard, of random variables, determines the 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. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2312.04246 |
رقم الأكسشن: | edsarx.2312.04246 |
قاعدة البيانات: | arXiv |
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