Conditional quantization for uniform distributions on line segments and regular polygons
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908276326662144 |
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| author | Biteng, Pigar Caguiat, Mathieu Dominguez, Tsianna Roychowdhury, Mrinal Kanti |
| author_facet | Biteng, Pigar Caguiat, Mathieu Dominguez, Tsianna Roychowdhury, Mrinal Kanti |
| contents | Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. If in the quantization some of the elements in the support are preselected, then the quantization is called a conditional quantization. In this paper, we investigate the conditional quantization for the uniform distributions defined on the unit line segments and $m$-sided regular polygons, where $m\geq 3$, inscribed in a unit circle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conditional quantization for uniform distributions on line segments and regular polygons Biteng, Pigar Caguiat, Mathieu Dominguez, Tsianna Roychowdhury, Mrinal Kanti Probability 60Exx, 94A34 Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. If in the quantization some of the elements in the support are preselected, then the quantization is called a conditional quantization. In this paper, we investigate the conditional quantization for the uniform distributions defined on the unit line segments and $m$-sided regular polygons, where $m\geq 3$, inscribed in a unit circle. |
| title | Conditional quantization for uniform distributions on line segments and regular polygons |
| topic | Probability 60Exx, 94A34 |
| url | https://arxiv.org/abs/2402.08036 |