Pregled bibliografske jedinice broj: 1017130
Zipf-Mandelbrot law and superadditivity of the Jensen functional
Zipf-Mandelbrot law and superadditivity of the Jensen functional // Inequalities and Zipf-Mandelbrot Law (Selected topics in information theory) / Pečarić, Đilda ; Pečarić, Josip (ur.).
Zagreb: Element, 2019. str. 61-88
CROSBI ID: 1017130 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Zipf-Mandelbrot law and superadditivity of the Jensen functional
Autori
Lovričević, Neda ; Pečarić, Đilda ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Inequalities and Zipf-Mandelbrot Law (Selected topics in information theory)
Urednik/ci
Pečarić, Đilda ; Pečarić, Josip
Izdavač
Element
Grad
Zagreb
Godina
2019
Raspon stranica
61-88
ISBN
978-953-197-670-1
Ključne riječi
Jensen functional, superadditivity, Zipf and Zipf-Mandelbrot law, Csiszar divergences
Sažetak
Superadditivity property of the discrete Jensen functional is brought in relation to the Csiszar divergence functional. Its monotonicity property and specific bounds are observed consequently in the same context. Some of the well known f− divergences, e.g. the Kullback-Leibler divergence, the Hellinger distance, the Bhattacharyya coefficient, the chi-square divergence and the total variation distance are analyzed in a similar way. All obtained inequalities are eventually interpreted in the environment of the Zipf and the Zipf-Mandelbrot law.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Hrvatsko katoličko sveučilište, Zagreb
