Divergence from, and Convergence to, Uniformity of Probability Density Quantiles

Divergence from, and Convergence to, Uniformity of Probability Density Quantiles

We demonstrate that questions of convergence and divergence regarding shapes of distributions can be carried out in a location- and scale-free environment. This environment is the class of probability density quantiles (pdQs), obtained by normalizing the composition of the density with the associate...

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Bibliographic Details
Main Authors: Robert G. Staudte, Aihua Xia
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Entropy
Subjects:
convergence in Lr norm
fixed point theorem
Kullback–Leibler divergence
relative entropy
semi-metric
uniformity testing
Online Access:http://www.mdpi.com/1099-4300/20/5/317

Internet

http://www.mdpi.com/1099-4300/20/5/317

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