5 papers
Constrained quantization for the Cantor distribution with a family of constraints
Megha Pandey, Mrinal Kanti Roychowdhury
In this paper, for a given family of constraints and the classical Cantor distribution we determine the constrained optimal sets of -points, th constrained quantization error…
Conditional Optimal Sets and the Quantization Coefficients for Some Uniform Distributions
Evans Nyanney, Megha Pandey, Mrinal Kanti Roychowdhury
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 dimen…
Conditional constrained and unconstrained quantization for uniform distributions on regular polygons
Christina Hamilton, Evans Nyanney, Megha Pandey +1
In this paper, we have considered a uniform distribution on a regular polygon with -sides for some and the set of all its vertices as a conditional set. For the un…
Conditional constrained and unconstrained quantization for probability distributions
Megha Pandey, Mrinal Kanti Roychowdhury
In this paper, we introduce and develop the concept of conditional quantization for Borel probability measures on considering both constrained and unconstrained fra…
Optimal quantization for a probability measure on a nonuniform stretched Sierpiński triangle
Megha Pandey, Mrinal Kanti Roychowdhury
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. In…