International Journal on Minority and Group Rights. Том 10. 2003. С. 203-220
Superquadratic Functions in Information Theory
Using Jensen’s inequality and the converse Jensen’s inequality for superquadratic functions we obtain new estimates for Shannon’s entropy of the random variable X and derive new lower and upper bounds for the Shannon entropy in the terms of the Zipf and Zipf- Mandelbrot’s law. © 2020. All Rights Reserved.
Авторы
Bari´C J. 1 , Peˇcari´C Đ. 2 , Peˇcari´C J. 3
Издательство
Element D.O.O.
Номер выпуска
4
Язык
Английский
Страницы
1321-1331
Статус
Опубликовано
Ссылка
Том
14
Год
2020
Организации
- 1 University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Rud-era Bosˇkovic´a 32, Split, 21 000, Croatia
- 2 Catholic University of Croatia, Ilica 242, Zagreb, 10000, Croatia
- 3 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Ключевые слова
Jensen’s inequality; Shannon entropy; Superquadratic function; Zipf- Mandelbrot’s law
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Другие записи
Automatic Control and Computer Sciences. Том 54. 2020. С. 930-936