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Distributions and expectations of singular random variables
Published online by Cambridge University Press: 14 July 2016
Abstract
Intersymbol and cochannel interference in a communications channel can often be modelled as the sum of an infinite series of random variables with weights which decay fairly rapidly. Frequently, this yields a random variable which is singular but non-atomic. The Hausdorff dimension of the distribution is estimated and methods for calculating expectations are studied. A connection is observed between the dimension and the complexity of the calculation of an expectation.
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- Copyright © Applied Probability Trust 1995
Footnotes
This research was supported by the Natural Sciences and Engineering Research Council of Canada through Grants OGP0002151 and OGP0003391 to Campbell and Wittke, and through a scholarship to McKellips.
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