التفاصيل البيبلوغرافية
| العنوان: |
Convergence in distribution of the product of random variables from an independent sample on a compact algebraic group |
| المؤلفون: |
Styrt, O. G. |
| سنة النشر: |
2022 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Probability, Mathematics - Algebraic Geometry, 14L30, 20G20, 20P05, 22C05, 22E47, 28C10, 60A10, 60B15 |
| الوصف: |
An equivalent condition for the product of elements of an independent random sample on a compact algebraic group converging in distribution to some random variable as the sample size increases is obtained. Namely, a limit distribution exists and is uniform on the support of the parent distribution if a random variable with such a distribution does not belong with the unit probability to any non-trivial coset over an algebraic subgroup that lies in its normalizer; otherwise, it does not exist. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2211.10071 |
| رقم الانضمام: |
edsarx.2211.10071 |
| قاعدة البيانات: |
arXiv |