On a certain class of infinitely divisible distributions |
| |
| Authors: | D Mejzler |
| |
| Institution: | 1. Institute of Mathematics and Department of Statistics, The Hebrew University of Jerusalem, Jerusalem, Israel
|
| |
| Abstract: | We characterize the class of distribution functions Φ(x), which are limits in the following sense: there exist a sequence of independent and equally distributed random variables {ξ n }, numerical sequences {a k }, {b k } and natural numbers {n k } such that $$\mathop {lim}\limits_{k \to \infty } Prob\left\{ {\frac{1}{{a_k }}\mathop {\Sigma }\limits_{k = 1}^{n_k } \xi _k - b_k< x} \right\} = \Phi (x)$$ and $$\mathop {\lim \inf }\limits_{k \to \infty } (n_k /n_{k + 1} ) > 0$$ . |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
