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Limit Theorem on the Self-Normalized Range for Weakly and Strongly Dependent Process

✍ Scribed by Benoit B. Mandelbrot


Publisher
Springer
Year
1975
Tongue
English
Weight
30 KB
Volume
33
Category
Article
ISSN
1432-2064

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We consider tlie one-dimensional weakly asymmetric nearest nrighbour excliision procvss and study, in macrosropic space-time coordinates, the fluctuations of tlie associated density field around tlie solution of the nonlinear BURGERS equation with viscosity. We show that this fluctuations convrrgr t