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Stochastic structure of asymptotic quantization errors

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  • Shykula, Mykola
  • Seleznjev, Oleg

Abstract

We consider quantization of continuous-valued random variables and processes in a probabilistic framework. Stochastic structure for non-uniform quantization errors is studied for a wide class of random variables. Asymptotic properties of the additive quantization noise model for a random process are derived for uniform and non-uniform quantizers. Some examples and numerical experiments demonstrating the rate of convergence in the obtained asymptotic results are presented.

Suggested Citation

  • Shykula, Mykola & Seleznjev, Oleg, 2006. "Stochastic structure of asymptotic quantization errors," Statistics & Probability Letters, Elsevier, vol. 76(5), pages 453-464, March.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:5:p:453-464
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    References listed on IDEAS

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    1. Su, Yingcai & Cambanis, Stamatis, 1993. "Sampling designs for estimation of a random process," Stochastic Processes and their Applications, Elsevier, vol. 46(1), pages 47-89, May.
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    Cited by:

    1. Oleg Seleznjev & Bernhard Thalheim, 2010. "Random Databases with Approximate Record Matching," Methodology and Computing in Applied Probability, Springer, vol. 12(1), pages 63-89, March.

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