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On the last time and the number of boundary crossings related to the strong law of large numbers and the law of the iterated logarithm

✍ Scribed by T. L. Lai; K. K. Lan


Publisher
Springer
Year
1976
Tongue
English
Weight
562 KB
Volume
34
Category
Article
ISSN
1432-2064

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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