Local Distortion andμ-Mass of the Cells of One Dimensional Asymptotically Optimal Quantizers
| Autor: | Sylvain Delattre, Jean-Claude Fort, Gilles Pagès |
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| Rok vydání: | 2004 |
| Předmět: |
Statistics and Probability
Weak convergence Computation Mathematical analysis Vector quantization 020206 networking & telecommunications Probability density function 02 engineering and technology 01 natural sciences Combinatorics Distortion (mathematics) 010104 statistics & probability Asymptotically optimal algorithm 0202 electrical engineering electronic engineering information engineering Probability distribution 0101 mathematics Voronoi diagram Mathematics |
| Zdroj: | Communications in Statistics - Theory and Methods. 33:1087-1117 |
| ISSN: | 1532-415X 0361-0926 |
| Popis: | We consider one dimensional probability distributions μ having a continuous and positive probability density function. We find the asymptotic of the size and the mass of the Voronoi cells and we prove that the local distortion associated with stationary or optimal quantizers is asymptotically uniform. Numerical simulations and computations illustrate the theoretical results and lead to the design of some good-fit test for the stationary equilibria. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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