1 citations · 1 across the 3 of their papers we have counts for
4 papers
A statistical test for correspondence of texts to the Zipf-Mandelbrot law
Anik Chakrabarty, Mikhail Chebunin, Artyom Kovalevskii +3
We analyse correspondence of a text to a simple probabilistic model. The model assumes that the words are selected independently from an infinite dictionary. The probability distri…
Asymptotics of an empirical bridge of regression on induced order statistics
Artyom Kovalevskii
We propose a class of tests for linear regression on concomitants (induced order statistics). These tests are based on sequential sums of regression residuals. We self-center and s…
Asymptotically normal estimators for Zipf's law
Mikhail Chebunin, Artyom Kovalevskii
Zipf's law states that sequential frequencies of words in a text correspond to a power function. Its probabilistic model is an infinite urn scheme with asymptotically power distrib…
Functional central limit theorems for certain statistics in an infinite urn scheme
Mikhail Chebunin, Artyom Kovalevskii
We investigate a specific infinite urn scheme first considered by Karlin (1967). We prove functional central limit theorems for the total number of urns with at least k balls for d…