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Estimating the Mean of Heavy-Tailed Distributions
Authors:Joachim Johansson
Affiliation:(1) Chalmers University of Technology, Göteborg, Sweden
Abstract:An asymptotically normally distributed estimate for the expected value of a positive random variable with infinite variance is introduced. Its behavior relative to estimation using the sample mean is investigated by simulations. An example of how to apply the estimate to file-size measurements on Internet traffic is also shown.
Keywords:Pareto distribution  mean estimation  heavy-tailed distributions  telecommunication
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