Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Pandey, Megha"'
Bucklew and Wise (1982) showed that the quantization dimension of an absolutely continuous probability measure on a given Euclidean space is constant and equals the Euclidean dimension of the space, and the quantization coefficient exists as a finite
Externí odkaz:
http://arxiv.org/abs/2402.16783
In this paper, we have considered a uniform distribution on a regular hexagon and the set of all its six vertices as a conditional set. For the uniform distribution under the conditional set first, for all positive integers $n\geq 6$, we obtain the c
Externí odkaz:
http://arxiv.org/abs/2401.10987
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 qua
Externí odkaz:
http://arxiv.org/abs/2401.01958
In this paper, we present the idea of conditional quantization for a Borel probability measure $P$ on a normed space $\mathbb R^k$. We introduce the concept of conditional quantization in both constrained and unconstrained scenarios, along with defin
Externí odkaz:
http://arxiv.org/abs/2312.02965
Autor:
Pandey, Megha, Roychowdhury, Mrinal K.
In this paper, with respect to a family of constraints for a uniform probability distribution we determine the optimal sets of $n$-points and the $n$th constrained quantization errors for all positive integers $n$. We also calculate the constrained q
Externí odkaz:
http://arxiv.org/abs/2309.11498
Autor:
Pandey, Megha, Roychowdhury, Mrinal K.
The theory of constrained quantization has been recently introduced by Pandey and Roychowdhury. In this paper, they have further generalized their previous definition of constrained quantization and studied the constrained quantization for the classi
Externí odkaz:
http://arxiv.org/abs/2306.16653
Autor:
Pandey, Megha, Roychowdhury, Mrinal K.
In this paper, for a Borel probability measure $P$ on a normed space $\mathbb R^k$, we extend the definitions of $n$th unconstrained quantization error, unconstrained quantization dimension, and unconstrained quantization coefficient, which tradition
Externí odkaz:
http://arxiv.org/abs/2305.11110
In this paper, a metric on $S_b$-metric space analogous to the Hausdorff metric has been introduced and some basic properties are obtained on multi-valued $S_b$-metric space. Further, the fundamental multi-valued contraction of Nadler(1962) has been
Externí odkaz:
http://arxiv.org/abs/2303.02619
In this paper, we introduce the concept of the $\alpha$-fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbers. Also, we study some properties of such fractal functions. Fur
Externí odkaz:
http://arxiv.org/abs/2207.02635
In this article, we construct the multivariate fractal interpolation functions for a given data points and explore the existence of $\alpha$-fractal function corresponding to the multivariate continuous function defined on $[0,1]\times \cdots \times
Externí odkaz:
http://arxiv.org/abs/2206.13186