ON A JENSEN-TYPE INEQUALITY FOR GENERALIZED f-DIVERGENCES AND ZIPF-MANDELBROT LAW

By means of one new Jensen-type inequality for signed measures which is characterized via several different Green functions, in this paper we derive new inequalities for generalized f divergences. The applications on the Zipf-Mandelbrot law, as one specific kind of probability distributions, are also given.

Авторы
Pecaric D.1 , Pecaric J. 2, 3 , Rodic M.2
Редакторы
-
Издательство
Element D.O.O.
Номер выпуска
4
Язык
Английский
Страницы
1463-1475
Статус
Опубликовано
Подразделение
-
Ссылка
-
Номер
-
Том
22
Год
2019
Организации
  • 1 Catholic Univ Croatia, Ilica 242, Zagreb 10000, Croatia
  • 2 Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia
  • 3 RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
Ключевые слова
Green function; Jensen inequality; f - divergence; Zipf-Mandelbrot law
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55648/