Majorizatiuon and Zipf-Mandelbrot law
DOI10.32513/tbilisi/1538532023zbMath1431.94035OpenAlexW2902397330WikidataQ128053799 ScholiaQ128053799MaRDI QIDQ2299503
Đilda Pečarić, Josip E. Pečarić, Naveed Latif
Publication date: 21 February 2020
Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tbilisi/1538532023
variational distancemajorization inequailtyZipf-Mandelbrot lawCsiszár \(f\)-divergence\( \chi^2\)-distance and triangular discriminationHellinger discriminationRényi \(\alpha \)-order entropyZipf's law in linguistic
Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Information theory (general) (94A15)
Uses Software
Cites Work
- On majorization, favard and Berwald inequalities
- Convex functions, partial orderings, and statistical applications
- Majorization, Csiszár divergence and Zipf-Mandelbrot law
- On a refinement of the majorisation type inequality
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- Refinements of some majorization type inequalities
- Inequalities: theory of majorization and its applications
- On an inequality for the entropy of a probability distribution
- Convex functions and their applications. A contemporary approach
- Beyond the Zipf-Mandelbrot law in quantitative linguistics
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