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Sharp bounds for the Jensen divergence with applications
- Source :
- Miskolc Mathematical Notes. 15:63
- Publication Year :
- 2014
- Publisher :
- Mathematical Notes, 2014.
-
Abstract
- In this paper we provide sharp bounds for the Jensen divergence generated by different classes of functions including functions of bounded variation, absolutely continuous, Lipschitz continuous, convex functions and differentiable functions whose derivatives enjoy various prop- erties as mentioned above. The bounds are expressed in terms of known and simpler diver- gence measures that are of importance in various applications such as the analysis of diversity as between and within populations and to cluster analysis. 2010 Mathematics Subject Classification: 26D15; 94017
- Subjects :
- Numerical Analysis
Pure mathematics
Control and Optimization
Algebra and Number Theory
Absolute continuity
Lipschitz continuity
Combinatorics
Mathematics Subject Classification
Bounded variation
Discrete Mathematics and Combinatorics
Probability distribution
Differentiable function
Convex function
Divergence (statistics)
Analysis
Mathematics
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi...........45f4523ba11020f5398fb8609c4cfb45