Tauberian theorems for summability transforms

Rohitha Goonatilake

International Journal of Stochastic Analysis, 2005, vol. 2005, 1-12

Abstract:

The convolution summability method is introduced as a generalization of the random-walk method. In this paper, two well-known summability analogs concerning the strong law of large numbers (SLLN) and the law of the single logarithm (LSL), that gives the rate of convergence in SLLN for the random-walk method, are extended to this generalized method.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:658914

DOI: 10.1155/JAMSA.2005.55

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