1 citations · 1 across the 2 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…
Functional central limit theorems for occupancies and missing mass process in infinite urn models
Mikhail Chebunin, Sergei Zuyev
We study the infinite urn scheme when the balls are sequentially distributed over an infinite number of urns labelled 1,2,... so that the urn at every draw gets a ball with pro…
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…