The exact power law and Pascal pyramid

Vladimir V. Bochkarev, Eduard Yu. Lerner

Let ${\omega }_0,{\omega }_1,\dots ,{\omega }_n$ be a full set of outcomes (letters, symbols) and let positive $p_i$, $i=0,\dots ,n$, be their probabilities (${\sum }_{i=0}^n{p}_i=1$). Let us treat ${\omega }_0$ as…