Article
Quantization for a Mixture of Uniform Distributions Associated With Probability Vectors
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Abstract
The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a prob- ability distribution to some finite set and thus approximation of a continuous probability distribution by a discrete distribution. Mixtures of probability distri- butions, also known as mixed distributions, are an exciting new area for optimal quantization. In this paper, we investigate the optimal quantization for three different mixed distributions generated by uniform distributions associated with probability vectors.
Keywords
Mixed distribution, uniform distribution, optimal sets, quantization error, quantization dimension, quantization coefficient.
Citation
Roychowdhury, M. K. & Salinas, W. (2020). Quantization for a mixture of uniform distributions associated with probability vectors. Uniform Distribution Theory, 15(1), 105–142. https://doi.org/10.2478/udt-2020-0006
M. K. Roychowdhury and W. Salinas, “Quantization for a mixture of uniform distributions associated with probability vectors,” Uniform Distribution Theory, vol. 15, no. 1, pp. 105–142, 2020, doi: 10.2478/udt-2020-0006.
Roychowdhury MK, Salinas W. Quantization for a mixture of uniform distributions associated with probability vectors. Uniform Distribution Theory. 2020;15(1):105–142. doi:10.2478/udt-2020-0006.
Roychowdhury, M. K. and Salinas, W. (2020), ‘Quantization for a mixture of uniform distributions associated with probability vectors’, Uniform Distribution Theory, 15(1), pp. 105–142. Available at: https://doi.org/10.2478/udt-2020-0006.
Roychowdhury, Mrinal Kanti, and Wasiela Salinas. “Quantization for a Mixture of Uniform Distributions Associated with Probability Vectors.” Uniform Distribution Theory, vol. 15, no. 1, 2020, pp. 105–142. https://doi.org/10.2478/udt-2020-0006.
Roychowdhury, Mrinal Kanti, and Wasiela Salinas. “Quantization for a Mixture of Uniform Distributions Associated with Probability Vectors.” Uniform Distribution Theory 15, no. 1 (2020): 105–142. https://doi.org/10.2478/udt-2020-0006.
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Published by: Engineering Journals


