engleski

Shannon entropy and Zipf-Mandelbrot law in Jensen-type interpolating inequalities

An integrated approach to Shannon entropy and to Zipf and Zipf-Mandelbrot law is presented via the method of interpolating Jensen-type inequalities. It is extended to a wider class of divergences that originate from the Csiszar divergence functional with some specific applications concerning Zipf law and its significant role in linguistics.

Jensen inequality, Shannon entropy, Zipf and Zipf-Mandelbrot law, Csiszar divergence functional

nije evidentirano