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Some remarks on the existence of optimal quantizers

Author

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  • Abaya, Efren F.
  • Wise, Gary L.

Abstract

Necessary and sufficient conditions are given for the existence of optimal k-dimensional quantizers that minimize a distortion measure E{W(X)C(X - Q(X))}. An example is given in which a globally optimal quantizer does not exist.

Suggested Citation

  • Abaya, Efren F. & Wise, Gary L., 1984. "Some remarks on the existence of optimal quantizers," Statistics & Probability Letters, Elsevier, vol. 2(6), pages 349-351, December.
    • Handle: RePEc:eee:stapro:v:2:y:1984:i:6:p:349-351
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    Cited by:

    1. Delattre Sylvain & Graf Siegfried & Luschgy Harald & Pagès Gilles, 2004. "Quantization of probability distributions under norm-based distortion measures," Statistics & Risk Modeling, De Gruyter, vol. 22(4/2004), pages 261-282, April.
    2. Gabriela Pena & Hansapani Rodrigo & Mrinal Kanti Roychowdhury & Josef Sifuentes & Erwin Suazo, 2021. "Quantization for Uniform Distributions on Hexagonal, Semicircular, and Elliptical Curves," Journal of Optimization Theory and Applications, Springer, vol. 188(1), pages 113-142, January.

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