Limit theorems for random normalized distortion (Q1431553)
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scientific article; zbMATH DE number 2072696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit theorems for random normalized distortion |
scientific article; zbMATH DE number 2072696 |
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Limit theorems for random normalized distortion (English)
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10 June 2004
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This paper is devoted to the study of the asymptotics of the distortion when the codes are random, drawn from a sequence of independent and identically distributed random variables. The author presents a weak law of large numbers, a strong law of large numbers and, in the one-dimensional setting, a central limit theorem. He also shows that the random distortion and the optimal distortion vanish almost surely at the same rate.
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distortion
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law of large numbers
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central limit theorem
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quantization
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