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The strong law of large numbers when extreme terms are excluded from sums

✍ Scribed by Toshio Mori

Publisher: Springer
Year: 1976
Tongue: English
Weight: 223 KB
Volume: 36
Category: Article
ISSN: 1432-2064
DOI: 10.1007/bf00532544

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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