Strong convergence of weighted sums of random elements through the equivalence of sequences of distributions
✍ Scribed by Juan A Cuesta; Carlos Matrán
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 656 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0047-259X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let \(X\) be \(n \times N\) containing i.i.d. complex entries with \(\mathbf{E}\left|X_{11}-\mathbf{E} X_{11}\right|^{2}=1\), and \(T\) an \(n \times n\) random Hermitian nonnegative definite, independent of \(X\). Assume, almost surely, as \(n \rightarrow \infty\), the empirical distribution functi
Let \(\left\{X, X_{n} ; \vec{n} \in \mathbb{N}^{d}\right\}\) be a field of independent identically distributed real random variables, \(0<p<2\), and \(\left\{a_{\bar{n}, \bar{k}} ;(\bar{n}, \bar{k}) \in \mathbb{N}^{d} \times \mathbb{N}^{d}, \bar{k} \leqslant \bar{n}\right\}\) a triangular array of r