Abstract:
We obtain two new distributions in frequency probability theory and
demonstrate them, in particular, in the example of frequency dictionaries.
One of these distributions gives a logarithmic correction to the Zipf–Mandelbrot law,
and the other describes the “tails” of the distribution.
Keywords:frequency probability, frequency dictionary, Zipf–Mandelbrot law, tail of distribution, Shannon entropy, Wiener process, Kolmogorov complexity.