Geodesic
Optimal quantization for the one–dimensional uniform distribution with Rényi-$\alpha$-entropy constraints
Kybernetika, Tome 46 (2010) no. 1, pp. 96-113.

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We establish the optimal quantization problem for probabilities under constrained Rényi-$\alpha$-entropy of the quantizers. We determine the optimal quantizers and the optimal quantization error of one-dimensional uniform distributions including the known special cases $\alpha = 0$ (restricted codebook size) and $\alpha = 1$ (restricted Shannon entropy).
Classification : 60E99, 62B10, 62H30, 94A17, 94A29
Keywords: optimal quantization; uniform distribution; Rényi-$\alpha $-entropy 
@article{KYB_2010__46_1_a6,
     author = {Kreitmeier, Wolfgang},
     title = {Optimal quantization for the one{\textendash}dimensional uniform distribution with {R\'enyi-}$\alpha$-entropy constraints},
     journal = {Kybernetika},
     pages = {96--113},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2010},
     mrnumber = {2666897},
     zbl = {1187.94018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_1_a6/}
}
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Kreitmeier, Wolfgang. Optimal quantization for the one–dimensional uniform distribution with Rényi-$\alpha$-entropy constraints. Kybernetika, Tome 46 (2010) no. 1, pp. 96-113. http://geodesic.mathdoc.fr/item/KYB_2010__46_1_a6/