| Journal: | Anais da Academia Brasileira de Ciencias |
| Database: | PERIÓDICA |
| System number: | 000363631 |
| ISSN: | 0001-3765 |
| Authors: | Cai, Guang-Hui1 |
| Institutions: | 1Zhejiang Gongshang University, Department of Mathematics and Statistics, Hangzhou, Zhejiang. China |
| Year: | 2008 |
| Season: | Sep |
| Volumen: | 80 |
| Number: | 3 |
| Pages: | 411-418 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | In this note, we obtain a Chung's integral test for self-normalized sums of i.i.d. random variables. Furthermore, we obtain a convergence rate of Chung law of the iterated logarithm for self-normalized sums |
| Portuguese abstract | Nesta nota, obtemos um teste integral de Chung para somas auto-normalizadas de variáveis aleatórias i.i.d. (independentes e identicamente distribuídas). Além disso, obtemos uma taxa de convergência da lei de Chung do logaritmo iterado para somas auto-normalizadas |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Sumas autonormalizadas, Prueba integral de Chung, Tasa de convergencia |
| Keyword: | Mathematics, Pure mathematics, Self-normalized sums, Chung integral test, Convergence rate |
| Full text: | Texto completo (Ver HTML) |
