| Autor: |
Linda Kachatryan, Boris Nahapetian |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Armenian Journal of Mathematics. 10:1-20 |
| ISSN: |
1829-1163 |
| DOI: |
10.52737/18291163-2018.10.5-1-20 |
| Popis: |
We introduce sufficiently wide classes of non--linear functionals preserving normal (Gaussian) distribution and establish various conditions under which a sequence of such functionals is asymptotically normal. As one of a consequence we obtain a generalization and sharpening of known results on the central limit theorem for weighted sums (linear functionals) of independent random variables. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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