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Displaying similar documents to “A Gaussian oscillator.”

Linear distribution processes.

Bel, L., Oppenheim, G., Robbiano, L., Viano, M.C. (1998)

Journal of Applied Mathematics and Stochastic Analysis

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Superposition of diffusions with linear generator and its multifractal limit process

End Iglói, György Terdik (2003)

ESAIM: Probability and Statistics

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In this paper a new multifractal stochastic process called Limit of the Integrated Superposition of Diffusion processes with Linear differencial Generator (LISDLG) is presented which realistically characterizes the network traffic multifractality. Several properties of the LISDLG model are presented including long range dependence, cumulants, logarithm of the characteristic function, dilative stability, spectrum and bispectrum. The model captures higher-order statistics by the cumulants....

Long memory and self-similar processes

Gennady Samorodnitsky (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

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This paper is a survey of both classical and new results and ideas on long memory, scaling and self-similarity, both in the light-tailed and heavy-tailed cases.