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Rescaled Range

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Rescaled Range (R/S) Analysis
The analysis developed by H.E. Hurst to determine long-memory effects and fractional Brownian motion. Rescaled range analysis measures how the distance covered by a particle increases as we look at longer and longer time scales. For Brownian motion, the distance covered increases with the square root of time. A series which increases at a different rate is not random. See: Anti-persistence, Fractional Brownian Motion, Hurst Exponent, Persistence, Joseph Effect, Noah Effect.


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This paper examines the efficacy of the statistical measures of risk in the light of results obtained from the analysis of stock market data using contemporary techniques of mathematical modelling of dynamical systems like the Rescaled Range Analysis and the related Hurst's Exponent, Fractal Dimensions, and the Lyapunov Exponents.
Relevant tests employed include neural networks, correlation dimensions, Lyapunov exponents, fractional integration and rescaled range.
 
 
 
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