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Rate of convergence in the strong law of large numbers for U-statistics based on a multidimensionally indexed array of random variables

โœ Scribed by Tasos C. Christofides

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
289 KB
Volume
9
Category
Article
ISSN
0167-7152

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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