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Pregled bibliografske jedinice broj: 1270240

Hybrid Zipf-Mandelbrot law


Jakšetić, Julije; Pečarić, Ðilda; Pečarić, Josip
Hybrid Zipf-Mandelbrot law // Journal of mathematical inequalities, 13 (2019), 1; 275, 286 doi:dx..org/10.7153/jmi-2019-13-20 (međunarodna recenzija, članak, znanstveni)


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Naslov
Hybrid Zipf-Mandelbrot law

Autori
Jakšetić, Julije ; Pečarić, Ðilda ; Pečarić, Josip

Izvornik
Journal of mathematical inequalities (1846-579X) 13 (2019), 1; 275, 286

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Shannon entropy, Zipf-Mandelbrot law, log-convex functions, Chebyshev’s inequality, Lyapunov’s inequality, Lerch’s transcendent.

Sažetak
There is a unified approach, maximization of Shannon entropy, that naturally follows the path of generalization from Zipf’s to hybrid Zipf’s law. Extending this idea we make transition from Zipf-Mandelbrot to hybrid Zipf-Mandelbrot law. It is interesting that examination of its densities provides some new insights of Lerch’s transcendent

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti



POVEZANOST RADA


Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb,
Hrvatsko katoličko sveučilište, Zagreb

Profili:

Avatar Url Julije Jakšetić (autor)

Avatar Url Đilda Pečarić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Jakšetić, Julije; Pečarić, Ðilda; Pečarić, Josip
Hybrid Zipf-Mandelbrot law // Journal of mathematical inequalities, 13 (2019), 1; 275, 286 doi:dx..org/10.7153/jmi-2019-13-20 (međunarodna recenzija, članak, znanstveni)
Jakšetić, J., Pečarić, Ð. & Pečarić, J. (2019) Hybrid Zipf-Mandelbrot law. Journal of mathematical inequalities, 13 (1), 275, 286 doi:dx..org/10.7153/jmi-2019-13-20.
@article{article, author = {Jak\v{s}eti\'{c}, Julije and Pe\v{c}ari\'{c}, \DHilda and Pe\v{c}ari\'{c}, Josip}, year = {2019}, pages = {286}, DOI = {dx.doi.org/10.7153/jmi-2019-13-20}, chapter = {275}, keywords = {Shannon entropy, Zipf-Mandelbrot law, log-convex functions, Chebyshev’s inequality, Lyapunov’s inequality, Lerch’s transcendent.}, journal = {Journal of mathematical inequalities}, doi = {dx.doi.org/10.7153/jmi-2019-13-20}, volume = {13}, number = {1}, issn = {1846-579X}, title = {Hybrid Zipf-Mandelbrot law}, keyword = {Shannon entropy, Zipf-Mandelbrot law, log-convex functions, Chebyshev’s inequality, Lyapunov’s inequality, Lerch’s transcendent.}, chapternumber = {275} }
@article{article, author = {Jak\v{s}eti\'{c}, Julije and Pe\v{c}ari\'{c}, \DHilda and Pe\v{c}ari\'{c}, Josip}, year = {2019}, pages = {286}, DOI = {dx.doi.org/10.7153/jmi-2019-13-20}, chapter = {275}, keywords = {Shannon entropy, Zipf-Mandelbrot law, log-convex functions, Chebyshev’s inequality, Lyapunov’s inequality, Lerch’s transcendent.}, journal = {Journal of mathematical inequalities}, doi = {dx.doi.org/10.7153/jmi-2019-13-20}, volume = {13}, number = {1}, issn = {1846-579X}, title = {Hybrid Zipf-Mandelbrot law}, keyword = {Shannon entropy, Zipf-Mandelbrot law, log-convex functions, Chebyshev’s inequality, Lyapunov’s inequality, Lerch’s transcendent.}, chapternumber = {275} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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