engleski

Superquadratic functions in information theory (presentation)

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.

superquadratic function ; Jensen's inequality ; Shannon entropy ; Zipf-Mandelbrot's law

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