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Titlebook: Entropy and Information Theory; Robert M. Gray Book 19901st edition Springer-Verlag New York 1990 Normal.Random variable.Shannon.behavior.

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https://doi.org/10.1007/978-3-030-03380-4gap is left between these asymptotic upper and lower bounds in the limit as . → ∞. They use martingale theory to show that the values between which the limiting density is sandwiched are arbitrarily close to each other, but we shall see that this is not necessary and this property follows from the results of Chapter 6.
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