Tsallis and Sharma-Mittal entropies of a Poisson distribution increase with λ, while two generalized Rényi entropies can be non-monotone in λ.
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Entropies of the Poisson distribution as functions of intensity: "normal" and "anomalous" behavior
Tsallis and Sharma-Mittal entropies of a Poisson distribution increase with λ, while two generalized Rényi entropies can be non-monotone in λ.