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Strong laws of large numbers for random walks associated with a class of one-dimensional convolution structures

โœ Scribed by Michael Voit

Publisher
Springer Vienna
Year
1992
Tongue
English
Weight
633 KB
Volume
113
Category
Article
ISSN
0026-9255

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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