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Some remarks on the existence of optimal quantizers


  • Abaya, Efren F.
  • Wise, Gary L.


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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    References listed on IDEAS

    1. Panaretos, John & Xekalaki, Evdokia, 1986. "On Generalized Binomial and Multinomial Distributions and Their Relation to Generalized Poisson Distributions," MPRA Paper 6248, University Library of Munich, Germany.
    2. Panaretos, John, 1983. "A Generating Model Involving Pascal and Logarithmic Series Distributions," MPRA Paper 6246, University Library of Munich, Germany.
    3. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
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    Cited by:

    1. Delattre Sylvain & Graf Siegfried & Luschgy Harald & Pag├Ęs Gilles, 2004. "Quantization of probability distributions under norm-based distortion measures," Statistics & Risk Modeling, De Gruyter, vol. 22(4/2004), pages 261-282, April.


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