Publication:
Inference for double Pareto lognormal queues with applications

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URI: https://hdl.handle.net/10016/1316
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ws080402.pdf (608.73 KB)
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2008-02
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In this article we describe a method for carrying out Bayesian inference for the double Pareto lognormal (dPlN) distribution which has recently been proposed as a model for heavy-tailed phenomena. We apply our approach to inference for the dPlN/M/1 and M/dPlN/1 queueing systems. These systems cannot be analyzed using standard techniques due to the fact that the dPlN distribution does not posses a Laplace transform in closed form. This difficulty is overcome using some recent approximations for the Laplace transform for the Pareto/M/1 system. Our procedure is illustrated with applications in internet traffic analysis and risk theory.
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Heavy tails, Bayesian inference, Queueing theory
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DES - Working Papers. Statistics and Econometrics. WS