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In this paper, first the authors introduce the stable distribution, stable process and theirs characteristics. The ? -stable distribution family has received great interest in the last decade due to its success in modeling data, which are too impulsive to be accommodated by the Gaussian distribution. In the second part, the authors propose major applications of alpha stable distribution in telecommunication, computer science such as network delays and signal processing and financial markets. At the end, they focus on using stable distribution to estimate measure of risk in stock markets and show simulated data with statistical softwares.
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