On the Large Deviations of a Class of Stationary On/Off Sources which Exhibit Long Range Dependence

Duffy, K. (2000) On the Large Deviations of a Class of Stationary On/Off Sources which Exhibit Long Range Dependence. (Preprint)

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Abstract

We present a class of stationary two-state sources which exhibit long range dependence: We relate the large deviations of their sojourn times to the large deviations of the sources themselves. We calculate the rate-function, on a non-linear scale, for a two-state source whose sojourn times are distributed by a semi-exponential distribution, and we calculate the rate-function for the multiplex of a finite collection of such sources.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 13:54
Last Modified:	15 Dec 2022 02:33
URI:	https://dair.dias.ie/id/eprint/584

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