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Logarithmic asymptotics in Queueing Theory and Risk Theory

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Figure

Figure 1-1: Rate-function transformation when the queue is unstable.
Figure 2-1: I{x) vs. x for heavy tailed sojourn times.
Figure 2-2: h i x )  vs. x  for Bernoulli random variables.
Figure 2-3; I{x) vs. x for the multiplex of heavy tailed sojourn sources.
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