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Large deviations of Poisson shot noise processes under heavy tail semi-exponential conditions

Article ID Journal Published Year Pages File Type
1153047 Statistics & Probability Letters 2010 10 Pages PDF
Abstract
In this note we provide a large deviation principle for Poisson shot noise processes under heavy tail semi-exponential conditions on the total shot per arrival. As in the light tail case, our result shows an insensitivity property of the model.
Keywords
60F10Heavy tail distributionsLarge deviationsprimary
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Large deviations of Poisson shot noise processes under heavy tail semi-exponential conditions
Authors
Gabriele Stabile, Giovanni Luca Torrisi,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
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60F10
Heavy tail distributions
Large deviations
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