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For a large class of stationary probability measures on A N , where A is a finite alphabet, we compute the specific Rényi entropy of order α and the specific guesswork moments of order β > −1. We show that the specific guesswork moment of order β equals the specific Rényi entropy of order α = 1/(1 + β) multiplied by β. The method is based on energy–entropy… (More)

We consider a stationary source emitting letters from a nite alphabet A. The source is described by a stationary probability measure on the space := A IN of sequences of letters. Denote by n the set of words of length n and by n the probability measure induced on n by. We consider sequences f? n n : n 2 INg having special properties. Call f? n n : n 2 INg a… (More)

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