Self-similar Random Fields and Rescaled Random Balls Models
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DOI: 10.1007/s10959-009-0259-x
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- Cioczek-Georges, R. & Mandelbrot, B. B., 1996. "Alternative micropulses and fractional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 64(2), pages 143-152, November.
- Cioczek-Georges, R. & Mandelbrot, B. B., 1995. "A class of micropulses and antipersistent fractional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 60(1), pages 1-18, November.
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Keywords
Self-similarity; Generalized random field; Poisson point process; Fractional Poisson field; Fractional Brownian field;All these keywords.
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