Constrained quantization for the Cantor distribution with a family of constraints
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929262010826752 |
|---|---|
| author | Pandey, Megha Roychowdhury, Mrinal Kanti |
| author_facet | Pandey, Megha Roychowdhury, Mrinal Kanti |
| contents | In this paper, for a given family of constraints and the classical Cantor distribution we determine the constrained optimal sets of $n$-points, $n$th constrained quantization errors for all positive integers $n$. We also calculate the constrained quantization dimension and the constrained quantization coefficient, and see that the constrained quantization dimension $D(P)$ exists as a finite positive number, but the $D(P)$-dimensional constrained quantization coefficient does not exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01958 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constrained quantization for the Cantor distribution with a family of constraints Pandey, Megha Roychowdhury, Mrinal Kanti Dynamical Systems Primary 28A80, Secondary 94A34, 60Exx In this paper, for a given family of constraints and the classical Cantor distribution we determine the constrained optimal sets of $n$-points, $n$th constrained quantization errors for all positive integers $n$. We also calculate the constrained quantization dimension and the constrained quantization coefficient, and see that the constrained quantization dimension $D(P)$ exists as a finite positive number, but the $D(P)$-dimensional constrained quantization coefficient does not exist. |
| title | Constrained quantization for the Cantor distribution with a family of constraints |
| topic | Dynamical Systems Primary 28A80, Secondary 94A34, 60Exx |
| url | https://arxiv.org/abs/2401.01958 |